Document:

Exhibit 10.2

 

REGISTRATION RIGHTS AGREEMENT

 

THIS REGISTRATION RIGHTS AGREEMENT
(this “Agreement”), dated as of [●], 2021, is made and entered into by and among Rice Acquisition Corp.
II, a Cayman Islands exempted company (the “Company”), Rice Energy Sponsor II LLC, a Cayman Islands limited
liability company (the “Sponsor”) and the undersigned parties listed under Holder on the signature page hereto
(each such party, together with the Sponsor and any person or entity who hereafter becomes a party to this Agreement pursuant to Section
5.2 of this Agreement, a “Holder” and collectively the “Holders”).

 

RECITALS

 

WHEREAS, the Sponsor, Jide
Famuagun, Carrie M. Fox and James Lytal own an aggregate of 7,187,600 Class B Units (“Class B Units”) of Rice
Acquisition Holdings II LLC (“Opco”) and a corresponding number of the Company’s Class B ordinary shares,
par value $0.0001 per share (“Class B Ordinary Shares”);

 

WHEREAS, the Sponsor also
owns (i) 2,500 of the Company’s Class A ordinary shares, par value $0.0001 per share (the “Class A Ordinary Shares”),
and (ii) 100 Class A Units of Opco (“Class A Units”) and a corresponding number of Class B Ordinary Shares (collectively,
the “Sponsor Shares”);

 

WHEREAS, the Class B Units
will automatically convert into Class A Units at the time of the Company’s initial Business Combination (as defined below) on a
one-for-one basis, subject to adjustment pursuant to the terms of the Amended and Restated Limited Liability Company Agreement of Opco,
dated [●], 2021;

 

WHEREAS, following the initial
Business Combination, the Holders will have the right to exchange their Class A Units (and a corresponding number of Class B Ordinary
Shares) for Class A Ordinary Shares on a one-for-one basis;

 

WHEREAS, on [●], 2021,
the Company and the Sponsor entered into that certain Private Placement Warrants Purchase Agreement, pursuant to which the Sponsor agreed
to purchase 9,000,000 warrants (or 9,750,000 warrants if the over-allotment option in connection with the Company’s initial public
offering is exercised in full) (the “Sponsor Private Placement Warrants”) in a private placement transaction
occurring simultaneously with the closing of the Company’s initial public offering; and

 

WHEREAS, the Company and the
Holders desire to enter into this Agreement, pursuant to which the Company shall grant the Holders certain registration rights with respect
to certain securities of the Company, as set forth in this Agreement.

 

NOW, THEREFORE, in consideration
of the representations, covenants and agreements contained herein, and certain other good and valuable consideration, the receipt and
sufficiency of which are hereby acknowledged, the parties hereto, intending to be legally bound, hereby agree as follows:

 

    

     

    

 

Article
I 

DEFINITIONS

 

1.1 Definitions. The
terms defined in this Article I shall, for all purposes of this Agreement, have the respective meanings set forth below:

 

“Adverse Disclosure”
shall mean any public disclosure of material non-public information, which disclosure, in the good faith judgment of the Chief Executive
Officer or principal financial officer of the Company, after consultation with counsel to the Company, (i) would be required to be made
in any Registration Statement or Prospectus in order for the applicable Registration Statement or Prospectus not to contain any untrue
statement of a material fact or omit to state a material fact necessary to make the statements contained therein (in the case of any prospectus
and any preliminary prospectus, in the light of the circumstances under which they were made) not misleading, (ii) would not be required
to be made at such time if the Registration Statement were not being filed, and (iii) the Company has a bona fide business purpose for
not making such information public.

 

“Agreement”
shall have the meaning given in the Preamble.

 

“Board”
shall mean the Board of Directors of the Company.

 

“Business Combination”
shall mean any merger, capital share exchange, asset acquisition, share purchase, reorganization or other similar business combination
with one or more businesses, involving the Company.

 

“Class A Ordinary
Shares” shall have the meaning given in the Recitals hereto.

 

“Class A Units”
shall have the meaning given in the Recitals hereto.

 

“Class B Ordinary
Shares” shall have the meaning given in the Recitals hereto.

 

“Class B Units”
shall have the meaning given in the Recitals hereto.

 

“Commission”
shall mean the Securities and Exchange Commission.

 

“Company”
shall have the meaning given in the Preamble.

 

“Demand Registration”
shall have the meaning given in subsection 2.1.1 of this Agreement.

 

“Demanding Holder”
shall mean, (i) for purposes of a Demand Registration, any Holder or group of Holders, that together holds Registrable Securities having
an aggregate value of at least $25 million, at the time of the written demand, and (ii) for purposes of an Underwritten Demand, any Holder
or group of Holders, that together elects to dispose of Registrable Securities having an aggregate value of at least $25 million, at the
time of the Underwritten Demand, under a Registration Statement pursuant to an Underwritten Offering.

 

“Effectiveness
Period” shall have the meaning given in subsection 3.1.1 of this Agreement.

 

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“Exchange Act”
shall mean the Securities Exchange Act of 1934, as it may be amended from time to time.

 

“Form S-3”
shall mean Form S-3 or any similar short-form registration statement that may be available at such time.

 

“Founder Shares”
shall have the meaning given in the Recitals hereto.

 

“Founder Share
Lock-up Period” shall mean, with respect to the Founder Shares, the period ending on the earliest of (A) one year after
the completion of the Company’s initial Business Combination or (B) subsequent to the Business Combination, (x) the date on which
the closing price of the Class A Ordinary Shares equals or exceeds $12.00 per share (as adjusted for share splits, share capitalizations,
reorganizations, recapitalizations and the like) for any 20 trading days within any 30-trading day period commencing at least 150 days
after the Company’s initial Business Combination or (y) the date on which the Company completes a liquidation, merger, capital share
exchange or other similar transaction that results in all of the Company’s public shareholders having the right to exchange their
Class A Ordinary Shares for cash, securities or other property.

 

“Holder Indemnified
Persons” shall have the meaning given in subsection 4.1.1 of this Agreement.

 

“Holders”
shall have the meaning given in the Preamble.

 

“Insider Letter”
shall mean that certain letter agreement, dated as of [●], 2021, by and among the Company, Opco and the officers and directors of
the Company.

 

“Maximum Number
of Securities” shall have the meaning given in subsection 2.1.4 of this Agreement.

 

“Misstatement”
shall mean an untrue statement of a material fact or an omission to state a material fact required to be stated in a Registration Statement
or Prospectus, or necessary to make the statements in a Registration Statement or Prospectus in the light of the circumstances under which
they were made not misleading.

 

“Opco”
shall have the meaning given in the Recitals hereto.

 

“Permitted Transferees”
means a person or entity to whom a Holder is permitted to transfer Registrable Securities prior to the expiration of the Founder Shares
Lock-up Period or Private Placement Lock-up Period, as the case may be, under the Insider Letter and any other applicable agreement between
such Holder and the Company, and to any transferee thereafter.

 

“Piggyback Registration”
shall have the meaning given in subsection 2.2.1 of this Agreement.

 

“Private Placement
Lock-up Period” shall mean, with respect to the Private Placement Warrants and Class A Ordinary Shares underlying the Private
Placement Warrants, until thirty (30) days after the completion of a Business Combination.

 

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“Private Placement
Warrants” shall have the meaning given in the Recitals hereto.

 

“Pro Rata”
shall have the meaning given in subsection 2.1.4 of this Agreement.

 

“Prospectus”
shall mean the prospectus included in any Registration Statement, as supplemented by any and all prospectus supplements and as amended
by any and all post-effective amendments and including all material incorporated by reference in such prospectus.

 

“Registrable Security”
shall mean (a) the Class A Ordinary Shares issued or issuable upon the exchange of Class A Units (and the corresponding Class B Ordinary
Shares), (b) the Private Placement Warrants (including any Class A Ordinary Shares issued or issuable upon the exercise of any such Private
Placement Warrants or, if applicable, upon exchange of Class A Units issued upon the exercise of any such Private Placement Warrants),
(c) any equity securities (including the Class A Ordinary Shares issued or issuable upon the exercise of any such equity security) of
the Company issuable upon conversion of any working capital loans in an amount up to $1,500,000 made to the Company by a Holder, (d) any
outstanding Class A Ordinary Shares, including Class A Ordinary Shares comprising the Sponsor Shares, or any other equity security (including
the Class A Ordinary Shares issued or issuable upon the exercise of any other equity security) of the Company held by a Holder as of the
date of this Agreement and (e) any other equity security of the Company issued or issuable with respect to any such Class A Ordinary Shares
by way of a share capitalizations or share split or in connection with a combination of shares, recapitalization, merger, consolidation
or reorganization; provided, however, that, as to any particular Registrable Security, such securities shall cease to be Registrable Securities
when: (A) a Registration Statement with respect to the sale of such securities shall have become effective under the Securities Act and
such securities shall have been sold, transferred, disposed of or exchanged in accordance with such Registration Statement; (B) such securities
shall have been otherwise transferred, new certificates for such securities not bearing a legend restricting further transfer shall have
been delivered by the Company and subsequent public distribution of such securities shall not require registration under the Securities
Act; (C) such securities shall have ceased to be outstanding; or (D) such securities may be sold without registration pursuant to Rule
144 promulgated under the Securities Act (or any successor rule promulgated thereafter by the Commission) (but with no volume or other
restrictions or limitations).

 

“Registration”
shall mean a registration effected by preparing and filing a registration statement or similar document in compliance with the requirements
of the Securities Act, and the applicable rules and regulations promulgated thereunder, and any such registration statement having been
declared effective by, or become effective pursuant to rules promulgated by, the Commission.

 

“Registration
Expenses” shall mean the out-of-pocket expenses of a Registration, including, without limitation, the following:

 

		(A)	all registration and filing fees (including fees with respect to filings required to be made with the
Financial Industry Regulatory Authority and any securities exchange on which the Class A Ordinary Shares is then listed);

 

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		(B)	fees and expenses of compliance with securities or blue sky laws (including reasonable fees and disbursements
of counsel for the Underwriters in connection with blue sky qualifications of Registrable Securities);

 

		(C)	printing, messenger, telephone and delivery expenses;

 

		(D)	reasonable fees and disbursements of counsel for the Company;

 

		(E)	reasonable fees and disbursements of all independent registered public accountants of the Company incurred
specifically in connection with such Registration; and

 

		(F)	reasonable fees and expenses of one (1) legal counsel selected by the Demanding Holders initiating a Demand
Registration or Underwritten Demand to be registered for offer and sale in the applicable Registration or Underwritten Offering.

 

“Registration
Statement” shall mean any registration statement under the Securities Act that covers the Registrable Securities pursuant
to the provisions of this Agreement, including the Prospectus included in such registration statement, amendments (including post-effective
amendments) and supplements to such registration statement, and all exhibits to and all material incorporated by reference in such registration
statement.

 

“Requesting Holder”
shall have the meaning given in subsection 2.1.3 of this Agreement.

 

“Securities Act”
shall mean the Securities Act of 1933, as amended from time to time.

 

“Sponsor”
shall have the meaning given in the Preamble.

 

“Sponsor Private
Placement Warrants” shall have the meaning given in the Recitals hereto.

 

“Sponsor Shares”
shall have the meaning given in the Recitals hereto.

 

“Underwriter”
shall mean a securities dealer who purchases any Registrable Securities as principal in an Underwritten Offering and not as part of such
dealer’s market-making activities.

 

“Underwritten
Demand” shall have the meaning given in subsection 2.1.3 of this Agreement.

 

“Underwritten
Offering” shall mean a Registration in which securities of the Company are sold to an Underwriter in a firm commitment underwriting
for distribution to the public.

 

Article
II 

REGISTRATIONS

 

2.1 Demand Registration.

 

2.1.1 Request
for Registration. Subject to the provisions of subsection 2.1.4 and Section 2.3 of this Agreement, at any time and from time to time
on or after the date the Company consummates the Business Combination, any Demanding Holder may make a written demand for Registration
of all of the then-outstanding Registrable Securities and the Company shall file with the Commission, as soon as reasonably practicable,
but in no event later than sixty (60) days following the receipt of such written demand, a Registration Statement covering such Registrable
Securities (a “Demand Registration”). Such written demand will specify the intended methods of distribution.
The Company shall use its reasonable best efforts to cause such Registration Statement to be declared effective by, or become effective
pursuant to rules promulgated by, the Commission as soon as reasonably practicable after the initial filing of the Registration Statement
in accordance with Section 3.1 of this Agreement.

 

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2.1.2 Effective
Registration. Notwithstanding the provisions of subsection 2.1.1 of this Agreement or any other part of this Agreement, a Registration
pursuant to a Demand Registration shall not count as a Registration unless and until (i) the Registration Statement filed with the Commission
with respect to a Registration pursuant to a Demand Registration has been declared effective by, or become effective pursuant to rules
promulgated by, the Commission and (ii) the Company has complied with all of its obligations under this Agreement with respect thereto.
The Company shall not be obligated or required to file another Registration Statement until the Registration Statement that has been previously
filed with respect to a Registration pursuant to a Demand Registration is subsequently terminated. Subject to the limitations contained
in this Agreement, the Company shall effect any Demand Registration on such appropriate registration form of the Commission (x) as shall
be selected by the Company and (y) as shall permit the disposition of the Registrable Securities in accordance with the intended method
or methods of disposition specified in the Demand Registration. If at any time a Registration Statement on Form S-3 filed with the Commission
pursuant to Section 2.1.1 of this Agreement is effective and a Holder provides written notice to the Company that it intends to effect
an offering of all or part of the Registrable Securities included on such Registration Statement, the Company will amend or supplement
such Registration Statement as may be necessary in order to enable such offering to take place in accordance with the terms of this Agreement.

 

2.1.3 Underwritten
Offering. Subject to the provisions of subsection 2.1.4 and Section 2.3 of this Agreement, any Demanding Holder may make a written
demand for an Underwritten Offering pursuant to a Registration Statement filed with the Commission in accordance with Section 2.1.1 of
this Agreement (an “Underwritten Demand”). The Company shall, within ten (10) days of the Company’s receipt
of the Underwritten Demand, notify, in writing, all other Holders of such demand, and each Holder who thereafter wishes to include all
or a portion of such Holder’s Registrable Securities in such Underwritten Offering pursuant to an Underwritten Demand (each such
Holder that includes all or a portion of such Holder’s Registrable Securities in such Underwritten Offering, a “Requesting
Holder”) shall so notify the Company, in writing, within two (2) days (one (1) day if such offering is an overnight or bought
Underwritten Offering) after the receipt by the Holder of the notice from the Company. Upon receipt by the Company of any such written
notification from a Requesting Holder(s), such Requesting Holder(s) shall be entitled to have their Registrable Securities included in
the Underwritten Offering pursuant to an Underwritten Demand. All such Holders proposing to distribute their Registrable Securities through
an Underwritten Offering under this subsection 2.1.3 shall enter into an underwriting agreement in customary form with the Underwriter(s)
selected for such Underwritten Offering by the Demanding Holders initiating the Underwritten Offering. Notwithstanding the foregoing,
the Company is not obligated to effect more than an aggregate of three (3) Underwritten Offerings pursuant to this subsection 2.1.3 and
is not obligated to effect an Underwritten Offering pursuant to this subsection 2.1.3 within ninety (90) days after the closing of an
Underwritten Offering.

 

2.1.4 Reduction
of Underwritten Offering. If the managing Underwriter or Underwriters in an Underwritten Offering pursuant to a Underwritten Demand,
in good faith, advises or advise the Company, the Demanding Holders, the Requesting Holders and other persons or entities holding Class
A Ordinary Shares or other equity securities of the Company that the Company is obligated to include pursuant to separate written contractual
arrangements with such persons or entities (if any) in writing that the dollar amount or number of Registrable Securities or other equity
securities of the Company requested to be included in such Underwritten Offering exceeds the maximum dollar amount or maximum number of
equity securities of the Company that can be sold in the Underwritten Offering without adversely affecting the proposed offering price,
the timing, the distribution method or the probability of success of such offering (such maximum dollar amount or maximum number of such
securities, as applicable, the “Maximum Number of Securities”), then the Company shall include in such Underwritten
Offering, as follows: (i) first, the Registrable Securities of the Demanding Holders and the Requesting Holders (if any) (pro rata based
on the respective number of Registrable Securities that each Demanding Holder and Requesting Holder (if any) has requested be included
in such Underwritten Offering and the aggregate number of Registrable Securities that the Demanding Holders and Requesting Holders have
requested be included in such Underwritten Offering (such proportion is referred to herein as “Pro Rata”)) that
can be sold without exceeding the Maximum Number of Securities; (ii) second, to the extent that the Maximum Number of Securities has not
been reached under the foregoing clause (i), Class A Ordinary Shares or other equity securities of the Company that the Company desires
to sell and that can be sold without exceeding the Maximum Number of Securities; and (iii) third, to the extent that the Maximum Number
of Securities has not been reached under the foregoing clauses (i) and (ii), Class A Ordinary Shares or other equity securities of the
Company held by other persons or entities that the Company is obligated to include pursuant to separate written contractual arrangements
with such persons or entities and that can be sold without exceeding the Maximum Number of Securities.

 

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2.1.5 Demand
Registration Withdrawal. The Demanding Holders initiating a Demand Registration pursuant to a Registration under subsection 2.1.1
of this Agreement shall have the right to withdraw from such Registration pursuant to such Demand Registration for any or no reason whatsoever
upon written notification to the Company of their intention to withdraw from such Registration prior to the effectiveness of the Registration
Statement filed with the Commission with respect to the Registration of their Registrable Securities pursuant to such Demand Registration.
Notwithstanding anything to the contrary in this Agreement, the Company shall be responsible for the Registration Expenses incurred in
connection with a Registration pursuant to a Demand Registration prior to its withdrawal under this subsection 2.1.5.

 

2.2 Piggyback Registration.

 

2.2.1 Piggyback
Rights. If, at any time on or after the date the Company consummates a Business Combination, the Company proposes to (i) file a Registration
Statement under the Securities Act with respect to an offering of equity securities of the Company, or securities or other obligations
exercisable or exchangeable for, or convertible into equity securities of the Company, for its own account or for the account of shareholders
of the Company, other than a Registration Statement (A) filed in connection with any employee share option or other benefit plan, (B)
for an exchange offer or offering of securities solely to the Company’s existing shareholders, (C) for an offering of debt that
is convertible into equity securities of the Company or (D) for a dividend reinvestment plan, or (ii) consummate an Underwritten Offering
for its own account or for the account of shareholders of the Company, then the Company shall give written notice of such proposed action
to all of the Holders of Registrable Securities as soon as practicable (but in the case of filing a Registration Statement, not less than
ten (10) days before the anticipated filing date of such Registration Statement), which notice shall (x) describe the amount and type
of securities to be included, the intended method(s) of distribution and the name of the proposed managing Underwriter or Underwriters,
if any, and (y) offer to all of the Holders of Registrable Securities the opportunity to register the sale of such number of Registrable
Securities as such Holders may request in writing within (a) five (5) days in the case of filing a Registration Statement and (b) two
(2) days in the case of an Underwritten Offering (unless such offering is an overnight or bought Underwritten Offering, then one (1) day),
in each case after receipt of such written notice (such Registration a “Piggyback Registration”). The Company
shall, in good faith, cause such Registrable Securities to be included in such Piggyback Registration and shall use its best efforts to
cause the managing Underwriter or Underwriters of a proposed Underwritten Offering to permit the Registrable Securities requested by the
Holders pursuant to this subsection 2.2.1 to be included in a Piggyback Registration on the same terms and conditions as any similar securities
of the Company included in such Piggyback Registration and to permit the sale or other disposition of such Registrable Securities in accordance
with the intended method(s) of distribution thereof. All such Holders proposing to include Registrable Securities in an Underwritten Offering
under this subsection 2.2.1 shall enter into an underwriting agreement in customary form with the Underwriter(s) selected for such Underwritten
Offering by the Company.

 

2.2.2 Reduction
of Piggyback Registration. If the managing Underwriter or Underwriters in an Underwritten Offering that is to be a Piggyback Registration,
in good faith, advises the Company and the Holders of Registrable Securities participating in the Piggyback Registration in writing that
the dollar amount or number of shares of the equity securities of the Company that the Company desires to sell, taken together with (i)
the shares of equity securities of the Company, if any, as to which Registration or Underwritten Offering has been demanded pursuant to
separate written contractual arrangements with persons or entities other than the Holders of Registrable Securities hereunder, (ii) the
Registrable Securities as to which Registration or Underwritten Offering has been requested pursuant to Section 2.2 of this Agreement
and (iii) the shares of equity securities of the Company, if any, as to which Registration or Underwritten Offering has been requested
pursuant to separate written contractual piggyback registration rights of other shareholders of the Company, exceeds the Maximum Number
of Securities, then:

 

(a) If
the Registration or Underwritten Offering is undertaken for the Company’s account, the Company shall include in any such Registration
or Underwritten Offering (A) first, the Class A Ordinary Shares or other equity securities of the Company that the Company desires to
sell, which can be sold without exceeding the Maximum Number of Securities; (B) second, to the extent that the Maximum Number of Securities
has not been reached under the foregoing clause (A), the Registrable Securities of Holders exercising their rights to register their Registrable
Securities pursuant to subsection 2.2.1 of this Agreement, Pro Rata, which can be sold without exceeding the Maximum Number of Securities;
and (C) third, to the extent that the Maximum Number of Securities has not been reached under the foregoing clauses (A) and (B), Class
A Ordinary Shares or other equity securities of the Company, if any, as to which Registration or Underwritten Offering has been requested
pursuant to written contractual piggyback registration rights of other shareholders of the Company, which can be sold without exceeding
the Maximum Number of Securities; or

 

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(b) If
the Registration or Underwritten Offering is pursuant to a request by persons or entities other than the Holders of Registrable Securities,
then the Company shall include in any such Registration or Underwritten Offering (A) first, Class A Ordinary Shares or other equity securities
of the Company, if any, of such requesting persons or entities, other than the Holders of Registrable Securities, which can be sold without
exceeding the Maximum Number of Securities; (B) second, to the extent that the Maximum Number of Securities has not been reached under
the foregoing clause (A), the Registrable Securities of Holders exercising their rights to register their Registrable Securities pursuant
to subsection 2.2.1 of this Agreement, Pro Rata, which can be sold without exceeding the Maximum Number of Securities; (C) third, to the
extent that the Maximum Number of Securities has not been reached under the foregoing clauses (A) and (B), Class A Ordinary Shares or
other equity securities of the Company that the Company desires to sell, which can be sold without exceeding the Maximum Number of Securities;
and (D) fourth, to the extent that the Maximum Number of Securities has not been reached under the foregoing clauses (A), (B) and (C),
Class A Ordinary Shares or other equity securities of the Company for the account of other persons or entities that the Company is obligated
to register pursuant to separate written contractual arrangements with such persons or entities, which can be sold without exceeding the
Maximum Number of Securities.

 

2.2.3 Piggyback
Registration Withdrawal. Any Holder of Registrable Securities shall have the right to withdraw from a Piggyback Registration for any
or no reason whatsoever upon written notification to the Company and the Underwriter or Underwriters (if any) of his, her or its intention
to withdraw from such Piggyback Registration prior to the effectiveness of the Registration Statement filed with the Commission with respect
to such Piggyback Registration. The Company (whether on its own good faith determination or as the result of a request for withdrawal
by persons pursuant to separate written contractual obligations) may withdraw a Registration Statement filed with the Commission in connection
with a Piggyback Registration at any time prior to the effectiveness of such Registration Statement. Notwithstanding anything to the contrary
in this Agreement, the Company shall be responsible for the Registration Expenses incurred in connection with the Piggyback Registration
prior to its withdrawal under this subsection 2.2.3.

 

2.2.4 Unlimited
Piggyback Registration Rights. For purposes of clarity, any Registration or Underwritten Offering effected pursuant to Section 2.2
of this Agreement shall not be counted as an Underwritten Offering pursuant to an Underwritten Demand effected under Section 2.1 of this
Agreement.

 

2.3 Restrictions on
Registration Rights. If (A) the Holders have requested an Underwritten Offering pursuant to an Underwritten Demand and the
Company and the Holders are unable to obtain the commitment of underwriters to firmly underwrite the offer; or (B) the Holders have
requested a Demand Registration or an Underwritten Offering pursuant to an Underwritten Demand and in the good faith judgment of the
Board such Registration or Underwritten Offering would be seriously detrimental to the Company and the Board concludes as a result
that it is essential to defer the filing of such Registration Statement or the undertaking of such Underwritten Offering at such
time, then in each case the Company shall furnish to such Holders a certificate signed by the Chairman of the Board stating that in
the good faith judgment of the Board it would be seriously detrimental to the Company for such Registration Statement to be filed or
to undertake such Underwritten Offering in the near future and that it is therefore essential to defer the filing of such
Registration Statement or undertaking of such Underwritten Offering. In such event, the Company shall have the right to defer such
filing or offering for a period of not more than thirty (30) days; provided, however, that the Company shall not defer its
obligation in this manner more than once in any twelve (12)-month period.

 

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Article
III 

COMPANY PROCEDURES

 

3.1 General Procedures.
If at any time on or after the date the Company consummates a Business Combination the Company is required to effect the Registration
of Registrable Securities pursuant to this Agreement, the Company shall use its best efforts to effect such Registration to permit the
sale of such Registrable Securities in accordance with the intended plan of distribution thereof, and pursuant thereto the Company shall,
as expeditiously as possible and to the extent applicable:

 

3.1.1 prepare
and file with the Commission as soon as practicable a Registration Statement with respect to such Registrable Securities and use its reasonable
best efforts to cause such Registration Statement to become effective and remain effective until all Registrable Securities covered by
such Registration Statement have been sold or are no longer outstanding (such period, the “Effectiveness Period”);

 

3.1.2 prepare
and file with the Commission such amendments and post-effective amendments to the Registration Statement, and such supplements to the
Prospectus, as may be reasonably requested by the Demanding Holders or any Underwriter or as may be required by the rules, regulations
or instructions applicable to the registration form used by the Company or by the Securities Act or rules and regulations thereunder to
keep the Registration Statement effective until all Registrable Securities covered by such Registration Statement are sold in accordance
with the intended plan of distribution set forth in such Registration Statement or supplement to the Prospectus or are no longer outstanding;

 

3.1.3 prior
to filing a Registration Statement or Prospectus, or any amendment or supplement thereto, furnish without charge to the Underwriters,
if any, and the Holders of Registrable Securities included in such Registration or Underwritten Offering, and such Holders’ legal
counsel, copies of such Registration Statement as proposed to be filed, each amendment and supplement to such Registration Statement (in
each case including all exhibits thereto and documents incorporated by reference therein), the Prospectus (including each preliminary
Prospectus) and such other documents as the Underwriters and the Holders of Registrable Securities included in such Registration or the
legal counsel for any such Holders may reasonably request in order to facilitate the disposition of the Registrable Securities owned by
such Holders; provided, that the Company will not have any obligation to provide any document pursuant to this clause that is available
on the Commission’s EDGAR system;

 

3.1.4 prior
to any public offering of Registrable Securities, use its best efforts to (i) register or qualify the Registrable Securities covered by
the Registration Statement under such securities or “blue sky” laws of such jurisdictions in the United States as the Holders
of Registrable Securities included in such Registration Statement (in light of their intended plan of distribution) may request and (ii)
take such action necessary to cause such Registrable Securities covered by the Registration Statement to be registered with or approved
by such other governmental authorities as may be necessary by virtue of the business and operations of the Company and do any and all
other acts and things that may be necessary or advisable to enable the Holders of Registrable Securities included in such Registration
Statement to consummate the disposition of such Registrable Securities in such jurisdictions; provided, however, that the Company shall
not be required to qualify generally to do business in any jurisdiction where it would not otherwise be required to qualify or take any
action to which it would be subject to general service of process or taxation in any such jurisdiction where it is not then otherwise
so subject;

 

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3.1.5 cause
all such Registrable Securities to be listed on each securities exchange or automated quotation system on which similar securities issued
by the Company are then listed;

 

3.1.6 provide
a transfer agent or warrant agent, as applicable, and registrar for all such Registrable Securities no later than the effective date of
such Registration Statement;

 

3.1.7 advise
each seller of such Registrable Securities, promptly after it shall receive notice or obtain knowledge thereof, of the issuance of any
stop order by the Commission suspending the effectiveness of such Registration Statement or the initiation or threatening of any proceeding
for such purpose and promptly use its reasonable best efforts to prevent the issuance of any stop order or to obtain its withdrawal if
such stop order should be issued;

 

3.1.8 during
the Effectiveness Period, furnish a conformed copy of each filing of any Registration Statement or Prospectus or any amendment or supplement
to such Registration Statement or Prospectus or any document that is to be incorporated by reference into such Registration Statement
or Prospectus, promptly after such filing of such documents with the Commission to each seller of such Registrable Securities or its counsel;
provided, that the Company will not have any obligation to provide any document pursuant to this clause that is available on the Commission’s
EDGAR system;

 

3.1.9 notify
the Holders at any time when a Prospectus relating to such Registration Statement is required to be delivered under the Securities Act,
of the happening of any event as a result of which the Prospectus included in such Registration Statement, as then in effect, includes
a Misstatement, and then to correct such Misstatement as set forth in Section 3.4 of this Agreement;

 

3.1.10 permit
a representative of the Holders, the Underwriters, if any, and any attorney or accountant retained by such Holders or Underwriter to participate,
at each such person’s own expense, in the preparation of the Registration Statement or the Prospectus, and cause the Company’s
officers, directors and employees to supply all information reasonably requested by any such representative, Underwriter, attorney or
accountant in connection with the Registration; provided, however, that such representatives or Underwriters enter into a confidentiality
agreement, in form and substance reasonably satisfactory to the Company, prior to the release or disclosure of any such information;

 

3.1.11 obtain
a comfort letter from the Company’s independent registered public accountants in the event of an Underwritten Offering, in customary
form and covering such matters of the type customarily covered by comfort letters as the managing Underwriter may reasonably request,
and reasonably satisfactory to a majority in-interest of the participating Holders;

 

3.1.12 on
the date the Registrable Securities are delivered for sale pursuant to such Registration, obtain an opinion, dated such date, of counsel
representing the Company for the purposes of such Registration, addressed to the placement agent or sales agent, if any, and the Underwriters,
if any, covering such legal matters with respect to the Registration in respect of which such opinion is being given as the placement
agent, sales agent, or Underwriter may reasonably request and as are customarily included in such opinions and negative assurance letters,
and reasonably satisfactory to such placement agent, sales agent or Underwriter;

 

3.1.13 in
the event of any Underwritten Offering, enter into and perform its obligations under an underwriting agreement, in usual and customary
form, with the managing Underwriter of such offering;

 

3.1.14 make
available to its security holders, as soon as reasonably practicable, an earnings statement covering the period of at least twelve (12)
months beginning with the first day of the Company’s first full calendar quarter after the effective date of the Registration Statement
which satisfies the provisions of Section 11(a) of the Securities Act and Rule 158 thereunder (or any successor rule promulgated thereafter
by the Commission);

 

3.1.15 use
its reasonable efforts to make available senior executives of the Company to participate in customary “road show” presentations
that may be reasonably requested by the Underwriter in any Underwritten Offering; and

 

3.1.16 otherwise,
in good faith, cooperate reasonably with, and take such customary actions as may reasonably be requested by the Holders, in connection
with such Registration.

 

    10

     

    

 

3.2 Registration Expenses.
The Registration Expenses in respect of all Registrations shall be borne by the Company. It is acknowledged by the Holders that the Holders
shall bear all incremental selling expenses relating to the sale of Registrable Securities, such as Underwriters’ commissions and
discounts, brokerage fees, Underwriter marketing costs and, other than as set forth in the definition of “Registration Expenses,”
all reasonable fees and expenses of any legal counsel representing the Holders.

 

3.3 Requirements for Participation
in Underwritten Offerings. No person may participate in any Underwritten Offering for equity securities of the Company pursuant to
a Registration initiated by the Company hereunder unless such person (i) agrees to sell such person’s securities on the basis provided
in any underwriting arrangements approved by the Company and (ii) completes and executes all customary questionnaires, powers of attorney,
indemnities, lock-up agreements, underwriting agreements and other customary documents as may be reasonably required under the terms
of such underwriting arrangements.

 

3.4 Suspension of Sales;
Adverse Disclosure. Upon receipt of written notice from the Company that a Registration Statement or Prospectus contains a Misstatement,
each of the Holders shall forthwith discontinue disposition of Registrable Securities until he, she or it has received copies of a supplemented
or amended Prospectus correcting the Misstatement (it being understood that the Company hereby covenants to prepare and file such supplement
or amendment as soon as practicable after the time of such notice), or until he, she or it is advised in writing by the Company that
the use of the Prospectus may be resumed. If the filing, initial effectiveness or continued use of a Registration Statement in respect
of any Registration or Underwritten Offering at any time would require the Company to make an Adverse Disclosure or would require the
inclusion in such Registration Statement of financial statements that are unavailable to the Company for reasons beyond the Company’s
control, the Company may, upon giving prompt written notice of such action to the Holders, delay the filing or initial effectiveness
of, or suspend use of, such Registration Statement for the shortest period of time, but in no event more than thirty (30) days, determined
in good faith by the Company to be necessary for such purpose. In the event the Company exercises its rights under the preceding sentences
in this Section 3.4, the Holders agree to suspend, immediately upon their receipt of the notices referred to in this Section 3.4, their
use of the Prospectus relating to any Registration in connection with any sale or offer to sell Registrable Securities. The Company shall
immediately notify the Holders of the expiration of any period during which it exercised its rights under this Section 3.4.

 

3.5 Reporting Obligations.
As long as any Holder shall own Registrable Securities, the Company, at all times while it shall be a reporting company under the Exchange
Act, covenants to file timely (or obtain extensions in respect thereof and file within the applicable grace period) all reports required
to be filed by the Company after the date hereof pursuant to Section 13(a) or 15(d) of the Exchange Act. The Company further covenants
that it shall take such further action as any Holder may reasonably request, all to the extent required from time to time to enable such
Holder to sell shares of Registrable Securities held by such Holder without registration under the Securities Act within the limitation
of the exemptions provided by Rule 144 promulgated under the Securities Act (or any successor rule promulgated thereafter by the Commission),
including providing any legal opinions. Upon the request of any Holder, the Company shall deliver to such Holder a written certification
of a duly authorized officer as to whether it has complied with such requirements.

 

Article
IV 

INDEMNIFICATION AND CONTRIBUTION

 

4.1 Indemnification.

 

4.1.1 The
Company agrees to indemnify, to the extent permitted by law, each Holder of Registrable Securities, its officers and directors and each
person who controls such Holder (within the meaning of the Securities Act) (collectively, the “Holder Indemnified Persons”)
against all losses, claims, damages, liabilities and expenses (including reasonable attorneys’ fees and inclusive of all reasonable
attorneys’ fees arising out of the enforcement of each such persons’ rights under this Section 4.1) resulting from any untrue
or alleged untrue statement of material fact contained in any Registration Statement, Prospectus or preliminary Prospectus or any amendment
thereof or supplement thereto or any omission or alleged omission of a material fact required to be stated therein or necessary to make
the statements therein, in the light of the circumstances under which they were made, not misleading, except insofar as the same are caused
by or contained in any information furnished in writing to the Company by or on behalf of such Holder Indemnified Person specifically
for use therein.

 

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4.1.2 In
connection with any Registration Statement in which a Holder of Registrable Securities is participating, such Holder shall furnish to
the Company in writing such information and affidavits as the Company reasonably requests for use in connection with any such Registration
Statement or Prospectus and, to the extent permitted by law, shall, severally and not jointly, indemnify the Company, its directors and
officers and agents and each person who controls the Company (within the meaning of the Securities Act) against any losses, claims, damages,
liabilities and expenses (including reasonable attorneys’ fees and inclusive of all reasonable attorneys’ fees arising out
of the enforcement of each such persons’ rights under this Section 4.1) resulting from any untrue or alleged untrue statement of
material fact contained in any Registration Statement, Prospectus or preliminary Prospectus or any amendment thereof or supplement thereto
or any omission or alleged omission of a material fact required to be stated therein or necessary to make the statements therein, in the
light of the circumstances under which they were made, not misleading, but only to the extent that the same are made in reliance on and
in conformity with information relating to the Holder so furnished in writing to the Company by or on behalf of such Holder specifically
for use therein. In no event shall the liability of any selling Holder hereunder be greater in amount than the net proceeds received by
such Holder from the sale of Registrable Securities pursuant to such Registration Statement giving rise to such indemnification obligation.

 

4.1.3 Any
person entitled to indemnification herein shall (i) give prompt written notice to the indemnifying party of any claim with respect to
which it seeks indemnification (provided that the failure to give prompt notice shall not impair any person’s right to indemnification
hereunder to the extent such failure has not materially prejudiced the indemnifying party) and (ii) unless in such indemnified party’s
reasonable judgment a conflict of interest between such indemnified and indemnifying parties may exist with respect to such claim or there
may be reasonable defenses available to the indemnified party that are different from or additional to those available to the indemnifying
party, permit such indemnifying party to assume the defense of such claim with counsel reasonably satisfactory to the indemnified party.
If such defense is assumed, the indemnifying party shall not be subject to any liability for any settlement made by the indemnified party
without its consent (but such consent shall not be unreasonably withheld). An indemnifying party who is not entitled to, or elects not
to, assume the defense of a claim shall not be obligated to pay the fees and expenses of more than one counsel for all parties indemnified
by such indemnifying party with respect to such claim, unless in the reasonable judgment of any indemnified party a conflict of interest
may exist between such indemnified party and any other of such indemnified parties with respect to such claim. No indemnifying party shall,
without the consent of the indemnified party, consent to the entry of any judgment or enter into any settlement which cannot be settled
in all respects by the payment of money (and such money is so paid by the indemnifying party pursuant to the terms of such settlement)
or which settlement does not include as an unconditional term thereof the giving by the claimant or plaintiff to such indemnified party
of a release from all liability in respect to such claim or litigation.

 

4.1.4 The
indemnification provided for under this Agreement shall remain in full force and effect regardless of any investigation made by or on
behalf of the indemnified party or any officer, director or controlling person of such indemnified party and shall survive the transfer
of securities.

 

4.1.5 If
the indemnification provided under Section 4.1 of this Agreement is held by a court of competent jurisdiction to be unavailable to an
indemnified party in respect of any losses, claims, damages, liabilities and expenses referred to herein, then the indemnifying party,
in lieu of indemnifying the indemnified party, shall to the extent permitted by law contribute to the amount paid or payable by the indemnified
party as a result of such losses, claims, damages, liabilities and expenses in such proportion as is appropriate to reflect the relative
fault of the indemnifying party and the indemnified party, as well as any other relevant equitable considerations. The relative fault
of the indemnifying party and indemnified party shall be determined by a court of law by reference to, among other things, whether the
untrue or alleged untrue statement of a material fact or the omission or alleged omission to state a material fact relates to information
supplied by such indemnifying party or such indemnified party and the indemnifying party’s and indemnified party’s relative
intent, knowledge, access to information and opportunity to correct or prevent such action; provided, however, that the liability of any
Holder under this subsection 4.1.5 shall be limited to the amount of the net proceeds received by such Holder in such offering giving
rise to such liability. The amount paid or payable by a party as a result of the losses or other liabilities referred to above shall be
deemed to include, subject to the limitations set forth in subsections 4.1.1, 4.1.2 and 4.1.3 of this Agreement, any legal or other fees,
charges or expenses reasonably incurred by such party in connection with any investigation or proceeding. The parties hereto agree that
it would not be just and equitable if contribution pursuant to this subsection 4.1.5 were determined by pro rata allocation or by any
other method of allocation, which does not take account of the equitable considerations referred to in this subsection 4.1.5. No person
guilty of fraudulent misrepresentation (within the meaning of Section 11(f) of the Securities Act) shall be entitled to contribution pursuant
to this subsection 4.1.5 from any person who was not guilty of such fraudulent misrepresentation.

 

    12

     

    

 

Article
V 

MISCELLANEOUS

 

5.1 Notices. Any notice
or communication under this Agreement must be in writing and given by (i) deposit in the United States mail, addressed to the party to
be notified, postage prepaid and registered or certified with return receipt requested, (ii) delivery in person or by courier service
providing evidence of delivery or (iii) transmission by hand delivery, telecopy, telegram, facsimile or email. Each notice or communication
that is mailed, delivered or transmitted in the manner described above shall be deemed sufficiently given, served, sent, and received,
in the case of mailed notices, on the third (3rd) business day following the date on which it is mailed, in the case of notices delivered
by courier service, hand delivery, telecopy or telegram, at such time as it is delivered to the addressee (with the delivery receipt
or the affidavit of messenger) or at such time as delivery is refused by the addressee upon presentation, and in the case of notices
delivered by facsimile or email, at such time as it is successfully transmitted to the addressee. Any notice or communication under this
Agreement must be addressed, if to the Company or the Sponsor, to: 102 East Main Street, Second Story, Carnegie, Pennsylvania 15106,
or by email at: kyle@riceinvestmentgroup.com, and, if to any Holder, to the address of such Holder as it appears in the applicable register
for the Registrable Securities or such other address as may be designated in writing by such Holder (including on the signature pages
hereto). Any party may change its address for notice at any time and from time to time by written notice to the other parties hereto,
and such change of address shall become effective thirty (30) days after delivery of such notice as provided in this Section 5.1.

 

5.2 Assignment; No Third
Party Beneficiaries.

 

5.2.1 This
Agreement and the rights, duties and obligations of the Company hereunder may not be assigned or delegated by the Company in whole or
in part.

 

5.2.2 This
Agreement and the provisions hereof shall be binding upon and shall inure to the benefit of each of the parties and its successors.

 

5.2.3 This
Agreement shall not confer any rights or benefits on any persons that are not parties hereto, other than as expressly set forth in this
Agreement and Section 5.2 of this Agreement.

 

5.2.4 No
assignment by any party hereto of such party’s rights, duties and obligations hereunder shall be binding upon or obligate the Company
unless and until the Company shall have received (i) written notice of such assignment as provided in Section 5.1 of this Agreement and
(ii) the written agreement of the assignee, in a form reasonably satisfactory to the Company, to be bound by the terms and provisions
of this Agreement (which may be accomplished by an addendum or certificate of joinder to this Agreement). Any transfer or assignment made
other than as provided in this Section 5.2 shall be null and void.

 

5.2.5 Prior
to the expiration of the Founder Shares Lock-up Period or the Private Placement Lock-up Period, as the case may be, no Holder may assign
or delegate such Holder’s rights, duties or obligations under this Agreement, in whole or in part, except in connection with a transfer
of Registrable Securities by such Holder to a Permitted Transferee and in accordance with the requirements of Section 5.2.4.

 

5.3 Counterparts. This
Agreement may be executed in multiple counterparts (including facsimile or PDF counterparts), each of which shall be deemed an original,
and all of which together shall constitute the same instrument, but only one of which need be produced.

 

5.4 Governing Law; Venue.
NOTWITHSTANDING THE PLACE WHERE THIS AGREEMENT MAY BE EXECUTED BY ANY OF THE PARTIES HERETO, THE PARTIES EXPRESSLY AGREE THAT THIS AGREEMENT
SHALL BE GOVERNED BY AND CONSTRUED UNDER THE LAWS OF THE STATE OF NEW YORK AS APPLIED TO AGREEMENTS AMONG NEW YORK RESIDENTS ENTERED
INTO AND TO BE PERFORMED ENTIRELY WITHIN NEW YORK, WITHOUT REGARD TO THE CONFLICT OF LAW PROVISIONS OF SUCH JURISDICTION.

 

    13

     

    

 

5.5 Amendments and Modifications.
Upon the written consent of the Company and the Holders of at least a majority in interest of the Registrable Securities at the time
in question, compliance with any of the provisions, covenants and conditions set forth in this Agreement may be waived, or any of such
provisions, covenants or conditions may be amended or modified; provided, however, that notwithstanding the foregoing, any amendment
hereto or waiver hereof that adversely affects one Holder, solely in his, her or its capacity as a holder of the capital shares of the
Company, in a manner that is materially different from the other Holders (in such capacity) shall require the consent of the Holder so
affected. No course of dealing between any Holder or the Company and any other party hereto or any failure or delay on the part of a
Holder or the Company in exercising any rights or remedies under this Agreement shall operate as a waiver of any rights or remedies of
any Holder or the Company. No single or partial exercise of any rights or remedies under this Agreement by a party shall operate as a
waiver or preclude the exercise of any other rights or remedies hereunder or thereunder by such party.

 

5.6 Other Registration Rights.
The Company represents and warrants that no person, other than a Holder of Registrable Securities and other than the holders of warrants
issued to public investors pursuant to the Warrant Agreement, between the Company, OpCo and Continental Stock Transfer & Trust Company,
as warrant agent, has any right to require the Company to register any securities of the Company for sale or to include such securities
of the Company in any Registration filed by the Company for the sale of securities for its own account or for the account of any other
person. Further, the Company represents and warrants that this Agreement supersedes any other registration rights agreement or agreement
with similar terms and conditions and in the event of a conflict between any such agreement or agreements and this Agreement, the terms
of this Agreement shall prevail.

 

5.7 Term. This Agreement
shall terminate upon the earlier of (i) the tenth (10th) anniversary of the date of this Agreement and (ii) with respect to any Holder,
the date as of which such Holder ceases to hold any Registrable Securities. The provisions of Article IV shall survive any termination.

 

[SIGNATURE PAGES FOLLOW]

 

    14

     

    

 

IN WITNESS WHEREOF, the undersigned
have caused this Agreement to be executed as of the date first written above.

 

	 	COMPANY:
	 	RICE ACQUISITION CORP. II, 
	 	a Cayman Islands exempt company
	 	 
	 	By:	 
	 	Name: 	Daniel Joseph Rice, IV
	 	Title:	Chief Executive Officer

 

	 	HOLDERS:
	 	RICE ACQUISITION SPONSOR II LLC
	 	 
	 	By:	 
	 	Name: 	Daniel Joseph Rice, IV
	 	Title:	Chief Executive Officer

 

	 	 
	 	Jide Famuagun
	 	 
	 	 
	 	Carrie M. Fox
	 	 
	 	 
	 	James Lytal

 

[Signature Page to Registration Rights Agreement]Exhibit 10.3

 

PRIVATE PLACEMENT WARRANTS AND WARRANT RIGHTS
PURCHASE AGREEMENT

 

THIS PRIVATE PLACEMENT WARRANTS AND WARRANT RIGHTS
PURCHASE AGREEMENT, dated as of [●], 2021 (as it may from time to time be amended, this “Agreement”), is entered into
by and among Rice Acquisition Corp. II, a Cayman Islands exempted company (the “Company”), Rice Acquisition Holdings II LLC,
a Cayman Islands limited liability company (“Opco” and, together with the Company, each a “SPAC Party,” and collectively
the “SPAC Parties”) and Rice Acquisition Sponsor II LLC, a Delaware limited liability company (the “Purchaser”
and together with the SPAC Parties, the “Parties”).

 

WHEREAS, the Company intends to consummate an initial
public offering of the Company’s units (the “Public Offering”), each unit consisting of one Class A ordinary share of
the Company, par value $0.0001 per share (the “Class A Ordinary Shares”), and one-fourth of one redeemable warrant (the “Public
Warrants”) as set forth in the Company’s Registration Statement on Form S-1, filed with the Securities and Exchange Commission
(the “SEC”), File Number 333-254080 (the “Registration Statement”), under the Securities Act of 1933, as amended
(the “Securities Act”), and each whole Public Warrant entitles the holder to purchase one Class A Ordinary Share at an exercise
price of $11.50 per share; and

 

WHEREAS, the Purchaser has agreed to purchase an
aggregate of 9,000,000 warrants (or up to 9,750,000 warrants if the over-allotment option in connection with the Public Offering is exercised
in full) (the “Private Placement Warrants”) and Warrant Rights (as defined below) with respect to an equal number of Opco
Warrants (as defined below), with each whole Private Placement Warrant entitling the holder to purchase one Class A Ordinary Share at
an exercise price of $11.50 per share; and

 

WHEREAS, pursuant to the Warrant Agreement (as
defined below) the Company will hold warrants of Opco (“Opco Warrants”), each of which entitles the holder to acquire one
Class A Unit of Opco (and a corresponding Class B ordinary share, par value $0.0001 per share of the Company (the “Class B Ordinary
Shares”)), and the Company will have the right to transfer to any person certain non-exclusive rights in the Opco Warrants as described
in the Warrant Agreement (the “Warrant Rights”).

 

NOW THEREFORE, in consideration of the mutual promises
contained in this Agreement and other good and valuable consideration, the receipt and sufficiency of which are hereby acknowledged, the
parties to this Agreement hereby, intending legally to be bound, agree as follows:

 

AGREEMENT

 

Section 1. Authorization, Purchase and
Sale; Terms of the Private Placement Warrants.

 

A. Authorization
of the Private Placement Warrants and Warrant Rights. The SPAC Parties have duly authorized the issuance and sale of the Private Placement
Warrants and Warrant Rights to the Purchaser.

 

     

     

    

 

B. Purchase
and Sale of the Private Placement Warrants and Warrant Rights.

 

(i) On
the date of the consummation of the Public Offering or on such earlier time and date as may be mutually agreed by the Parties (the “Initial
Closing Date”), the Company shall issue and sell to the Purchaser, and the Purchaser shall purchase from the Company, 9,000,000
Private Placement Warrants and Warrant Rights with respect to an equal number of Opco Warrants at a price of $1.00 per warrant and Warrant
Right, for an aggregate purchase price of $9,000,000 (the “Purchase Price”). The Purchaser shall pay the Purchase Price by
wire transfer of immediately available funds to Opco (which Opco will receive on behalf of the Company and in consideration for the issuance
by Opco to the Company of an equal number of Opco Warrants) at least one (1) business day prior to the Initial Closing Date. On the Initial
Closing Date, upon the payment by the Purchaser of the Purchase Price, the SPAC Parties shall, at their option, deliver a certificate
evidencing the Private Placement Warrants and Warrant Rights purchased on such date duly registered in the Purchaser’s name to the
Purchaser, or effect such delivery in book-entry form.

 

(ii) On the date of the closing of the
over-allotment option in connection with the Public Offering or on such earlier time and date as may be mutually agreed by the
Parties (each such date, an “Over-allotment Closing Date”, and each Over-allotment Closing Date (if any) and the Initial
Closing Date being sometimes referred to herein as a “Closing Date”), the Company shall issue and sell to the Purchaser,
and the Purchaser shall purchase from the Company, up to 500,000 Private Placement Warrants and Warrant Rights with respect to an
equal number of Opco Warrants (or, to the extent the option to purchase additional units is not exercised in full, a lesser number
of Private Placement Warrants in proportion to the portion of the option that is exercised) at a price of $1.00 per warrant and
Warrant Right, for an aggregate purchase price of up to $750,000 (if the over-allotment option in connection with the Public
Offering is exercised in full) (the “Over-allotment Purchase Price”). The Purchaser shall pay the Over allotment
Purchase Price by wire transfer of immediately available funds to Opco (which Opco will receive on behalf of the Company and in
consideration for the issuance by Opco to the Company of an equal number of Opco Warrants) at least one (1) business day prior to
the Over-Allotment Closing Date. On the Over-allotment Closing Date, upon the payment by the Purchaser of the Over-allotment
Purchase Price, the SPAC Parties shall, at their option, deliver a certificate evidencing the Private Placement Warrants and Warrant
Rights purchased on such date duly registered in the Purchaser’s name to the Purchaser, or effect such delivery in book-entry
form.

 

C. Terms
of the Private Placement Warrants and Warrant Rights.

 

(i) Each
Private Placement Warrant and Warrant Right shall have the terms set forth in a Warrant Agreement to be entered into by the Company and
a warrant agent, in connection with the Public Offering (the “Warrant Agreement”).

 

(ii) At
the time of the closing of the Public Offering, the Company and the Purchaser shall enter into a registration rights agreement (the “Registration
Rights Agreement”) pursuant to which the Company will grant certain registration rights to the Purchaser relating to the Private
Placement Warrants and the Class A Ordinary Shares underlying the Private Placement Warrants and, if applicable, the Class A Ordinary
Shares issuable upon exchange of the Class A Units of Opco (and corresponding Class B Ordinary Shares) underlying the Warrant Rights.

 

    2

     

    

 

Section 2. Representations and Warranties
of the SPAC Parties. As a material inducement to the Purchaser to enter into this Agreement and purchase
the Private Placement Warrants and Warrant Rights, each SPAC Party, jointly and severally, hereby represents and warrants to the Purchaser
(which representations and warranties shall survive each Closing Date) that:

 

A. Incorporation
and Corporate Power. Each SPAC Party is, as applicable, a corporation or limited liability company duly incorporated, validly existing
and in good standing under the laws of the Cayman Islands and is qualified to do business in every jurisdiction in which the failure to
so qualify would reasonably be expected to have a material adverse effect on the financial condition, operating results or assets of such
SPAC Party. Each SPAC Party possesses all requisite corporate or limited liability company power and authority necessary to carry out
the transactions contemplated by this Agreement and the Warrant Agreement.

 

B. Authorization;
No Breach.

 

(i) The
execution, delivery and performance of this Agreement, the Private Placement Warrants and the Warrant Rights have been duly authorized
by the SPAC Parties as of the Closing Date. This Agreement constitutes the valid and binding obligation of each SPAC Party, enforceable
in accordance with its terms, subject to bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general
applicability relating to or affecting creditors’ rights and to general equitable principles (whether considered in a proceeding
in equity or law). Upon issuance in accordance with, and payment pursuant to, the terms of the Warrant Agreement and this Agreement, the
Private Placement Warrants and Warrant Rights will constitute valid and binding obligations of the SPAC Parties, enforceable in accordance
with their terms as of the Closing Date, subject to bankruptcy, insolvency, fraudulent conveyance, reorganization, moratorium and other
laws of general applicability relating to or affecting creditors’ rights and to general equitable principles (whether considered
in a proceeding in equity or law).

 

(ii) The
execution and delivery by the SPAC Parties of this Agreement, the Private Placement Warrants, and the Warrant Rights, the issuance and
sale of the Private Placement Warrants and the Warrant Rights, the issuance of the Class A Ordinary Shares or Class A Units of Opco (and
corresponding Class B Ordinary Shares) upon exercise of the Private Placement Warrants or Warrant Rights, as applicable, and the fulfillment
of and compliance with the respective terms hereof and thereof by the SPAC Parties, as applicable, do not and will not as of the Closing
Date (a) conflict with or result in a breach of the terms, conditions or provisions of, (b) constitute a default under, (c) result in
the creation of any lien, security interest, charge or encumbrance upon the any SPAC Party’s capital shares, membership interests
or assets under, (d) result in a violation of, or (e) require any authorization, consent, approval, exemption or other action by or notice
or declaration to, or filing with, any court or administrative or governmental body or agency pursuant to any organizational document
of the SPAC Parties (including any memorandum, and articles of association or limited liability company agreement), or any material law,
statute, rule or regulation to which a SPAC Party is subject, or any agreement, order, judgment or decree to which any SPAC Party is subject,
except for any filings required after the date hereof under federal or state securities laws.

 

    3

     

    

 

C. Title
to Securities. Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement, the Class A
Ordinary Shares issuable upon exercise of the Private Placement Warrants will be duly and validly issued, fully paid and non-assessable.
On the date of issuance of the Private Placement Warrants, the Class A Common Shares issuable upon exercise of the Private Placement Warrants
shall have been reserved for issuance. Upon issuance in accordance with, and payment pursuant to, the terms hereof and the Warrant Agreement,
and upon registration in the Company’s register of members, the Purchaser will have good title to the Private Placement Warrants,
Warrant Rights and the Class A Ordinary Shares or Class A Units of Opco (and the corresponding Class B Ordinary Shares), as applicable,
issuable upon exercise of such Private Placement Warrants or Warrant Rights, as applicable, free and clear of all liens, claims and encumbrances
of any kind, other than (i) transfer restrictions hereunder, the Warrant Agreement, the governing documents of the Company and Opco, as
applicable, and under the other agreements contemplated hereby, (ii) transfer restrictions under federal and state securities laws, and
(iii) liens, claims or encumbrances imposed due to the actions of the Purchaser.

 

D. Governmental
Consents. No permit, consent, approval or authorization of, or declaration to or filing with, any governmental authority is required
in connection with the execution, delivery and performance by the SPAC Parties of this Agreement or the consummation by the SPAC Parties
of any other transactions contemplated hereby.

 

E. Regulation
D Qualification. None of the SPAC Parties, to their actual knowledge, any of their affiliates, members, officers, directors or beneficial
shareholders of 20% or more of their outstanding securities, has experienced a disqualifying event as enumerated pursuant to Rule 506(d)
of Regulation D under the Securities Act.

 

Section 3. Representations and Warranties
of the Purchaser. As a material inducement to the SPAC Parties to enter into this Agreement and issue
and sell the Private Placement Warrants and Warrant Rights to the Purchaser, the Purchaser hereby represents and warrants to the SPAC
Parties (which representations and warranties shall survive each Closing Date) that:

 

A. Organization
and Requisite Authority. The Purchaser possesses all requisite power and authority necessary to carry out the transactions contemplated
by this Agreement.

 

B. Authorization;
No Breach.

 

(i) This
Agreement constitutes a valid and binding obligation of the Purchaser, enforceable in accordance with its terms, subject to bankruptcy,
insolvency, fraudulent conveyance, reorganization, moratorium and other laws of general applicability relating to or affecting creditors’
rights and to general equitable principles (whether considered in a proceeding in equity or law).

 

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(ii) The
execution and delivery by the Purchaser of this Agreement and the fulfillment of and compliance with the terms hereof by the Purchaser
does not and shall not as of each Closing Date (a) conflict with or result in a breach by the Purchaser of the terms, conditions or provisions
of, (b) constitute a default under, (c) result in the creation of any lien, security interest, charge or encumbrance upon the Purchaser’s
equity or assets under, (d) result in a violation of, or (e) require authorization, consent, approval, exemption or other action by or
notice or declaration to, or filing with, any court or administrative or governmental body or agency pursuant to the Purchaser’s
organizational documents in effect on the date hereof or as may be amended prior to completion of the contemplated Public Offering, or
any material law, statute, rule or regulation to which the Purchaser is subject, or any agreement, instrument, order, judgment or decree
to which the Purchaser is subject, except for any filings required after the date hereof under federal or state securities laws.

 

C. Investment
Representations.

 

(i) The
Purchaser is acquiring the Private Placement Warrants and Warrant Rights and, upon exercise of the Private Placement Warrants or Warrant
Rights, the Class A Ordinary Shares or Class A Units of Opco (and the corresponding Class B Ordinary Shares), as applicable, issuable
upon such exercise (collectively, the “Securities”), for the Purchaser’s own account, for investment purposes only and
not with a view towards, or for resale in connection with, any public sale or distribution thereof.

 

(ii) The
Purchaser is an “accredited investor” as such term is defined in Rule 501(a)(3) of Regulation D, and the Purchaser has not
experienced a disqualifying event as enumerated pursuant to Rule 506(d) of Regulation D under the Securities Act.

 

(iii) The
Purchaser understands that the Securities are being offered and will be sold to it in reliance on specific exemptions from the registration
requirements of the United States federal and state securities laws and that the SPAC Parties are relying upon the truth and accuracy
of, and the Purchaser’s compliance with, the representations and warranties of the Purchaser set forth herein in order to determine
the availability of such exemptions and the eligibility of the Purchaser to acquire such Securities.

 

(iv) The
Purchaser did not decide to enter into this Agreement as a result of any general solicitation or general advertising within the meaning
of Rule 502(c) under the Securities Act.

 

(v) The
Purchaser has been furnished with all materials relating to the business, finances and operations of the SPAC Parties and materials relating
to the offer and sale of the Securities which have been requested by the Purchaser. The Purchaser has been afforded the opportunity to
ask questions of the executive officers and directors of the SPAC Parties. The Purchaser understands that its investment in the Securities
involves a high degree of risk and it has sought such accounting, legal and tax advice as it has considered necessary to make an informed
investment decision with respect to the acquisition of the Securities.

 

(vi) The
Purchaser understands that no United States federal or state agency or any other government or governmental agency has passed on or made
any recommendation or endorsement of the Securities or the fairness or suitability of the investment in the Securities by the Purchaser
nor have such authorities passed upon or endorsed the merits of the offering of the Securities.

 

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(vii) The
Purchaser understands that: (a) the Securities have not been and are not being registered under the Securities Act or any state securities
laws, and may not be offered for sale, sold, assigned or transferred unless (1) subsequently registered thereunder or (2) sold in reliance
on an exemption therefrom; and (b) except as specifically set forth in the Registration Rights Agreement, neither the Company nor any
other person is under any obligation to register the Securities under the Securities Act or any state securities laws or to comply with
the terms and conditions of any exemption thereunder. In this regard, the Purchaser understands that the SEC has taken the position that
promoters or affiliates of a blank check company and their transferees, both before and after an initial Business Combination (as defined
in the Registration Rights Agreement), are deemed to be “underwriters” under the Securities Act when reselling the securities
of a blank check company. Based on that position, Rule 144 adopted pursuant to the Securities Act would not be available for resale transactions
of the Securities despite technical compliance with the requirements of such Rule, and the Securities can be resold only through a registered
offering or in reliance upon another exemption from the registration requirements of the Securities Act.

 

(viii) The
Purchaser has such knowledge and experience in financial and business matters, knowledge of the high degree of risk associated with investments
in the securities of companies in the development stage such as the SPAC Parties, is capable of evaluating the merits and risks of an
investment in the Securities and is able to bear the economic risk of an investment in the Securities in the amount contemplated hereunder
for an indefinite period of time. The Purchaser has adequate means of providing for its current financial needs and contingencies and
will have no current or anticipated future needs for liquidity which would be jeopardized by the investment in the Securities. The Purchaser
can afford a complete loss of its investment in the Securities.

 

(ix) The
Purchaser understands that the Private Placement Warrants shall bear the legend substantially in the form set forth in the Warrant Agreement.

 

Section 4. Conditions of the Purchaser’s
Obligations. The obligations of the Purchaser to purchase and pay for the Private Placement Warrants
and Warrant Rights are subject to the fulfillment, on or before each Closing Date, of each of the following conditions:

 

A. Representations
and Warranties. The representations and warranties of the SPAC Parties contained in Section 2 shall be true and correct at and as
of such Closing Date as though then made.

 

B. Performance.
Each SPAC Party shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are
required to be performed or complied with by it on or before such Closing Date.

 

C. No
Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered,
promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having
authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement
or the Warrant Agreement.

 

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D. Warrant Agreement and Registration Rights
Agreement. The SPAC Parties shall have entered into the Warrant Agreement, in the form of Exhibit A hereto, and the Registration
Rights Agreement, in the form of Exhibit B hereto, in each case with a warrant agent on terms satisfactory to the Purchaser.

 

Section 5. Conditions of the SPAC Parties’
Obligations. The obligations of the SPAC Parties to the Purchaser under this Agreement are subject to
the fulfillment, on or before each Closing Date, of each of the following conditions:

 

A. Representations
and Warranties. The representations and warranties of the Purchaser contained in Section 3 shall be true and correct at and as of
such Closing Date as though then made.

 

B. Performance.
The Purchaser shall have performed and complied with all agreements, obligations and conditions contained in this Agreement that are required
to be performed or complied with by the Purchaser on or before such Closing Date.

 

C. Consents.
The SPAC Parties shall have obtained the consent of its Board of Directors or Managing Member, as applicable, authorizing the execution,
delivery and performance of this Agreement and the Warrant Agreement and the issuance and sale of the Private Placement Warrants hereunder
and Warrant Rights.

 

D. No
Injunction. No litigation, statute, rule, regulation, executive order, decree, ruling or injunction shall have been enacted, entered,
promulgated or endorsed by or in any court or governmental authority of competent jurisdiction or any self-regulatory organization having
authority over the matters contemplated hereby, which prohibits the consummation of any of the transactions contemplated by this Agreement
or the Warrant Agreement.

 

E. Warrant
Agreement. The SPAC Parties shall have entered into the Warrant Agreement with a warrant agent on terms satisfactory to the SPAC Parties.

 

Section 6. Miscellaneous.

 

A. Successors
and Assigns. Except as otherwise expressly provided herein, all covenants and agreements contained in this Agreement by or on behalf
of any of the parties hereto shall bind and inure to the benefit of the respective successors of the parties hereto whether so expressed
or not. Notwithstanding the foregoing or anything to the contrary herein, the parties may not assign this Agreement, other than assignments
by the Purchaser to affiliates thereof (including, without limitation, one or more of its members).

 

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B. Severability.
Whenever possible, each provision of this Agreement shall be interpreted in such manner as to be effective and valid under applicable
law, but if any provision of this Agreement is held to be prohibited by or invalid under applicable law, such provision shall be ineffective
only to the extent of such prohibition or invalidity, without invalidating the remainder of this Agreement.

 

C. Counterparts.
This Agreement may be executed simultaneously in two or more counterparts, none of which need contain the signatures of more than one
party, but all such counterparts taken together shall constitute one and the same agreement. Signatures to this Agreement transmitted
via facsimile or e-mail shall be valid and effective to bind the party so signing (including any electronic signature covered by the U.S.
federal ESIGN Act of 2000, Uniform Electronic Transactions Act, the Electronic Signatures and Records Act or other applicable law, e.g., www.docusign.com).

 

D. Descriptive
Headings; Interpretation. The descriptive headings of this Agreement are inserted for convenience only and do not constitute a substantive
part of this Agreement. The use of the word “including” in this Agreement shall be by way of example rather than by limitation.

 

E. Governing
Law. This Agreement shall be deemed to be a contract made under the laws of the State of New York and for all purposes shall be construed
in accordance with the internal laws of the State of New York, without giving effect to conflicts of law principles that would result
in the application of the laws of another jurisdiction.

 

F. Amendments.
This Agreement may not be amended, modified or waived as to any particular provision, except by a written instrument executed by all parties
hereto.

 

[Signature page follows]

 

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IN WITNESS WHEREOF, the parties hereto have
executed this Agreement to be effective as of the date first set forth above.

 

	   	SPAC PARTIES
	 	 
	 	COMPANY:
	 	 
	 	RICE ACQUISITION CORP. II
	 	 
	 	By:	                    
	 	Name:  	Daniel Joseph Rice, IV
	 	Title: 	Chief Executive Officer
	 	 
	 	OPCO:
	 	 
	 	RICE ACQUISITION HOLDINGS II LLC
	 	 
	 	By:	 
	 	Name: 	Daniel Joseph Rice, IV
	 	Title: 	Chief Executive Officer
	 	 
	 	PURCHASER:
	 	 
	 	RICE ACQUISITION SPONSOR II LLC
	 	 
	 	By:	 
	 	Name: 	Daniel Joseph Rice, IV
	 	Title: 	Chief Executive Officer

 

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EXHIBIT A

 

Warrant Agreement

 

     

     

    

 

EXHIBIT B

 

Registration Rights Agreement

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