NBSIR 73-287

Procedures for the Calibration of

Volumetric Test Measures

John F. Houser

Institute "'or Basic Standards

National Bureau of Standards

Washington, D. C. 20234

August 1973

Final

Prepared for Optical Physics Division

institute for Basic Standards

National Bureau of Standards

Washington, D. C. 20234

NBSIR 73-287

PROCEDURES FOR THE CALIBRATION OF

VOLUMETRIC TEST MEASURES

John F. Houser

Institute for Basic Standards

National Bureau of Standards

Washington, D. C. 20234

August 1973

Final

Prepared for Optical Physics Division

Institute for Basic Standards

National Bureau of Standards

Washington, D. C. 20234

U.S. DEPARTMENT OF COMMERCE, Frederick B. Dent, Secretary

NATIONAL BUREAU OF STANDARDS, Richard W. Roberts, Director

PROCEDURES FOR THE CALIBRATION OF VOLUMETRIC TEST MEASURES

I. INTRODUCTION

The calibration of a volumetric vessel requires the determination

of three calibration constants:

1. The containment volume , V^- , which is the volume

of water required to fill the vessel at 60*F.

2. The delivery volume , Vj^ , which is the volume of

water which may be poured from the vessel at

60**F under specified conditions. Vq differs

significantly from .

3. The neck constant , K, which relates the true

volume of neck to the value observed on the

neck scale.

There are two methods for obtaining values of these test

constants, the choice being based upon apparatus and equipment

availability. The volumetric transfer requires previously calibrated vessels and is essentially a counting procedure in which

the volume of the test vessel is determined from knowledge of the

number of "dumps" of the standard vessel renuired to fill the

test vessel. When previously calibrated standard volumetric

vessels are not available, the gravimetric method may be used.

This requires a balance upon which the mass of water renuired to

fill the test vessel is measured. From measured values of mass

and knowledge of water density, the required volumes may be

calculated

,

II. SUGGESTED CLEANING AND INSPECTION PROCEDURES

The vessels are prepared for calibration as follows:

1. Unpack each measure carefully, making special

note of any damage that could have occurred to

the vessel during shipment.

2, Inspect the vessel carefully to be

is free of dents, rust, and broken

sure that it

gage glass.

- 1 -
3. Biod egradeabl e detergents are used to clean the

interior of the vessels. When necessary, solvents are used prior to cleaning with

detergents. Care is exercised in cleaning

epoxy coated vessels with solvents as some

solvents may cause a reaction which would

damage the coating.

4, Each vessel should be filled with water and

allowed to stand for several minutes. During

this time, an examination is made for leaks.

After this inspection is made, the vessel is

rinsed with distilled water, then with alcohol;

it is then allowed to dry.

5, Smaller vessels, whose level is determined by

the plane of the supporting base, should rest

on a level bed plate and be checked for firm

, seating (that is, 3 point support or an

adequately flat base). A vessel which rocks

will not give a true meniscus reading during

the calibration.

6. An information, or summary sheet, is prepared

giving the following information. (See sample

summary sheet, figure 1.)

a. Identify the vessel or vessels to be

tested by owner and test number.

b. List all the vessels^ their maker number,

identification number, assumed scale

divisions and assumed coefficient of

expansion^

c. List all other information necessary to

make complete record of the test.

III. EQUIPMENT REQUIRED FOR GRAVIMETRIC CALIBRATIONS

The vast majority of work of this type involves measurement of

volumes ranging from 5 gallons to 100 gallons, and this paper is

addressed to workers operating within this range whose requirements are satisfied by an uncertainty of .01%. For volumes

larger or smaller than this, although the general methods are the

same, specialized techniques and apparatus are generally called

for. It is necessary to either have calibrated volumetric

standards scattered conveniently across the range of volumes to

be calibrated or a balance of appropriate capacity and

reproducibility.

- 2 -
The following equipment Is necessary for the gravimetric method

of calibration.

1. Balance or load cell as appropriate to the work

level (with a standard deviation of 500mg or

better)

.

2. Weights (calibrated to about 1:50,000) as appropriate to the work level.

3. Thermometer (calibrated to 0.1°C).

4. Barometer or barograph (calibrated to 2mm of

mercury )

.

5. Hygrometer (calibrated to A^)

.

6. Ball Bearings for neck calibration (2 1/2 inch,

grade 50) .

7. Bed plate (with adjustable legs).

8. Machinist level,

9. Storage tank for water.

10. Mixer (mixing water).

11. Stopwatch.

12. Assorted lengths of pipes.

13. Assorted hand tools.

IV, Gravimetric Calibration Procedure

The general techninue is to determine the mass of water required

to fill a vessel and the mass of water clinging to the inside

walls of the vessel after draining in the specified manner. The

differences between these masses, together with knowledge of

water density permits one to calculate and V^. Although any

type weighing procedure of appropriate precision may be used in

this vork, the general weighing technique called "double

substitution" is the mode best adapted to this work. The data

sheets illustrated in figures 2, 3 and 4 are designed for use

with a free-swinging balance.

- 3 -
Prior to testing, a cap of some kind is placed over the neck

opening; this acts as a lid to prevent evaporation of moisture

from the vessel. This cap remains on the vessel during the

entire weighing procedure.

STEP I - (See data sheet, figure 2.)

Weigh the vessel empty:

Each "double substitution" requires four

observations: 0^ , 0^ , 0^, and 0^ as shown in figure 2.

0^ Place weights on the pan nominally equal to the

mass of the vessel and cap. Record the masses

of the standard weights used, Mgj. For sets of

standard weights having duplicate weights,

record which weight is used so that the proper

true mass correction is selected from the

correction table. Turning points are observed

on the balance and recorded on the data sheet,

0^ The weights are removed and the empty vessel

and cap are placed on the pan. Read and record

the turning points,

A sensitivity weight, W , is added. Read and

record the turning points,

0^ The vessel is removed and the standard weights

are returned to the pan along with the sensitivity weight. Read and record these turning

points.

Environmental conditions are recorded before and after each

"double substitution". Record , Bj , and Hj , the air

temperature, barometric pressure, and relative humidity

respectively on the data sheet in the appropriate spaces. The

date, time and description of the work, as well as the observer

should also be recorded.

STEP II - (See data sheet, figure 3.)

Weigh the vessel full of water:

From the water storage tank, fill the vessel with water

to any point on the neck scale, 6^. This water should

be stored for a day or so after distillation, this

allows the water to equilibrate with ambient conditions.

After filling the vessel, the water should be mixed

thoroughly in order to remove most of the thermal

- 4 -
gradients which affect the observations leading to the

calculated volume. This provides the added benefit of

allowing any trapped air bubbles to rise to the surface.

Place the vessel on the bed plate and record the water

temperature, T^, Making sure that the vessel is level,

agitate the water in the gage tube and read the

meniscus. Record on the data sheet the meniscus scale

reading, water temperature, and mix time. After

thoroughly drying all water from the exterior, balance

the vessel against the standard weights following the

procedure as described in Step I. Record ambient

conditions T- , , H„ and standard weights M

2 ' 2 2 S 2 STEP III - (See data sheet, figure 4.)

Weigh the vessel after draining:

Drain the water from the vessel, holding it in the

drainage position for a specified interval (usually 10-

30 seconds) after cessation of the main flow. Reweigh

the vessel, recording M^^, and ambient conditions Tj, B^,

H., and drain time.

V. NECK CALIBRATION (See data sheet, figure 5.)

In use, the vessel is not always filled to the same

scale reading, 6^, used in calibration but to any point

6jj, The volume difference between filling to 6

j_ (in

calibration) and 5^^ (in use) may be obtained by neck

scale calibration. This is accomplished by filling the

vessel to near the bottom of its scale range, 6a» and

inserting in the vessel precision spheres or known

diameter, d, which increase the water level to 5g, 6q^

e t c

.

Essentially, this experiment consists of (effectively)

adding water volume in known increments and recording

the change in scale indications from 6^ to 6g to 6q,

etc. This data permits graphic or analytical evaluation

of the scale divisions, 6's, for a value of K where

TTd ^

~ 5 -
The precision spheres are replaced by known volumes of

water for vessels with neck diameters greater than four

inches

.

In performing a neck calibration, it should be evident

that the vessel must be level to insure a true neck

calibration.

VI. GRAVIMETRIC CALIBRATION CALCULATION

,i Each of the three double substitution weighings, described above,

provide a numerical value of the difference between the known and

unknown loads. This difference in mass units is calculated from

the observed turning points and the value of the sensitivity

weight described on the data sheets. It is referred to as an

"A"

.

Associated with each "A" is a value for air density which is

calculated from the formula f ^ ^

464. 56B - H(0.08559AT^ - 1.850AT + 34. A7)

Pa "

(T + 273.16)1,000,000

where

Pg » Density of air in grams/cm^

B = Pressure in mm of Hg

H = Relative humidity in percent

T » Temperature of air in

degrees Centigrade.

This calculation is also indicated on the raw data sheet.

[l] Bowman, H, A., and Schoonover, R, M. , NBS Journal

of Research, C. Engineering and Instrumentation,

Vol. 71C , Page 182.
One may now write three enuations describing the three

substitution weighings using the three numerical values of "A",

A,, Ap and A,, and a value of air density associated with each

"A" pj, and p^.

A-M -P,V -M +pV + measurement error [11 1 J 1 J si 1 si '

where = Mass of the vessel

= Metallic volume of the vessel

V = Total volume of mass standards s 1

^2 - J'^JW2WS2?S9 - P V + M - p V - M + p V + measurement error [2] S2 2 S2

where V = Volume of water contained wM = Mass of the water • w

A3 = M^ - p^V^ + \^ - P^\^ - + p^V^^ + measurement error [3]

where M^^ = Mass of water retained

Vj^^ = Volume of water retained

The measurement error term in the three foregoing equations will

be discussed in detail in a future issue of OVERLAP. It is not

included in subsequent equations below inasmuch as it does not

enter into the calculation of a single calibration test.

The mass of water, M^, may be calculated from the difference

between equations 1 and 2.

" ° 1 - ^

w

Detailed examination of the algebra leading to the above equation

for M^ will show the term VjCp^-p^). This term is believed to be

acceptably close to zero under ordinary variability in air

density so it is ignored.

Using the observed water temperature, T^, we obtain a value of

water density, p^, by interpolation in table 1. The value of V^,

the contained volume of water in the vessel up to neck reading 6-{, may be written

- 7 -
A,-A,+M„-M+pV-p^V^

V - ^ - ^ ^ ^ 2 S2 " P - Po

This value for V which is also the containment volume of the

vessel is valid only for the observed water temperature T , By

convention, vessel volumes are always referenced to a temperature

of 60°F. For the conversion from. the centigrade scale to

fahrenheit scale use the formula °F = 9/5"'C + 32. To compute a change in known volume, V at temperature T, to a volume at a reference temperature 60° ¥ the following formula is used:

= V^[l + a(60 - T)] [5]

where a = the cubical temperature coefficient of

expans ion /" F of the vessel

The voli/me of the residual water, V„ , is obtained from the

Rw difference between equations 1 and 3.

Rw Pw" P3

The delivery volume, V^^ , of the vessel when drained as specified

after filling to neck graduation 6_j^, will be

V„ = V - [7]

D w Rw

The calculated results, V and '^^^j equations 4 and 6 are in

cubic centimeters if the weights are in grams, and air and water

density in grams per cubic centimeter.

The volume delivered, of equation 7, is from the fill point 6^

and can be exnressed to a reference point 6^ by the following

modi f i c at ion :

V-^ = V - - ( 6, - 6n)K [8]

D w Rw 1 0 By custom 6^ is zero on the graduated scale ana equation 8 can be

simplified as follows:

= V - V_ - K6. [9]

D w Rw i

5*s are not always in the same units as V and V and may

require further conversion.

- 8 -
This completes the gravimetric calibration of the unknown vessel,

and at this point it is appropriate to introduce a check standard

measurement using the newly calibrated vessel as a reference.

Assuming prior knowledge of the containment volume of the check

standard, the correctness of the delivery volume, equation 9, may

be quickly verified by pouring water from the vessel into the

check standard.

The use of the check standard test is a routine procedure in many

measurement laboratories and is highly recommended by NBS. It is

desirable to maintain a permanent record of the measurements on

each check standard because the spread of data among such

measurements is descriptive of the process performance and the

degree to which traceability to NBS may be demonstrated. The

advantages and analysis of check standard data is discussed in

the next issue of OVERLAP,

(See appendix for sample calculation for equations 4-8),

VII, Volumetric Calibration Procedure

A second procedure is available to calibrate volumetric vessels.

This method is called the "volumetric transfer" method. It is

essentially performed by transferring a known volume of water

from a standard vessel into a vessel of unknown volume and

calculating either a contained or delivered volume of the unknown

vessel. This procedure is usually performed above the 10 gallons

level

.

Because of the various sizes of vessels, handling becomes a problem. The ideal situation would be to have a platform

elevator and a large storage tank for water. Assuming the ideal

situation, the "transfer" operation can be. performed in the

following manner,

(1) An inspection and cleaning process is performed

on the unknown vessel, as described in section

II, noting any defects such as leaking gage

tubes, leaky valves and leaky seams.

- 9 -
Select a standard vessel, U,of known delivery

volume at a specified reference temperature and

scale graduation and a known thermal

coefficient of expansion, a, (cubic). The

standard is placed on the platform elevator,

along with an attached selected section of

pipe, raised to a height appropriate for the

test

,

Place the unknown vessel, Z, below the standard

vessel. Level the unknown vessel either by the

attached or built-in levels or by placing a level across the top of the open neck. It is

important to use the same leveling procedure

when using the unknown vessel as a known vessel

at a later date. Attach a piece of pipe from

the drain valve of the vessel to a water drain,

A data sheet (see figure 6) is filled out,

giving information pertaining to the unknown

vessel being calibrated.

If the vessel is to be calibrated for capacity,

the internal surfaces of the unknown must be

dry; for delivery, both the standard and the

unknown must be wet. They are wetted by

filling the standard and transferring the water

into the unknown v^ith a thirty second drain

time after cessation of the main flow. Drain

the unknown in a similar manner. This process

is only for wetting the surfaces.

Level the standard vessel. Fill the standard

vessel, U, to any point on the neck scale^ L^^,

with water from the storage tank. Record the

water temperature, T^, on the data sheet.

Agitate the water in the gage tube to get a uniform meniscus. Read the meniscus scale

reading and record the reading on the data

sheet

.

- 10 -
(7) Drain the standard in such a manner so as not

to lose any water being transferred into the

unknown. In some cases it is advisable to

place a finger over the opening of the gage

tube of the unknown to prevent water from

escaping due to pressure. Time the drain for a specified interval (usually 30 seconds after

cessation of the main flow.

)

(8) With the unknown standing in a level position,

agitate the water level and read the meniscus

scale reading. Record the neck reading, Lq and

the water temperature (^q) unknown

vessels on the data sheet.

(9) In situations where a smaller standard vessel

is used to calibrate a larger unknown vessel,

each step (5 thru 8) described above is

repeated the appropriate number of times, each

time draining the standard and the unknown for

the specified time.

(10) After one complete calibration or "run" is

finished, a second run may be performed. (This

second run serves as a check on the first run.)

Drain the unknown for the specified time and

repeat steps 5 thru 8.

(11) A neck calibration, as described in section V

is performed. On vessels containing double

scale plates, denote whether one scale plate or

both scale plates have been calibrated.

VII, Data Reduction for Volumetric Calibration

By convention vessel volumes are always referenced to a temperature of 60*F, If only one transfer of the standard vessel

U is required to complete the calibration of an unknown vessel Z,

~- » U6o[l + a(tA-60)]

A

and

M~- » Z6o[l + e(to-60)]

- 11 -
where = water density of the standard

' = water density of the unknown

M = the same mass of water transferred from the

standard vessel U into the unknown vessel

7 oU

60

a = cubical coefficient of expansion/"? of the

standard, U

6 = cubical coefficient of expansion/**F of the

unknown , Z

.

Since the two masses of water are the same,

f

^60^0^^ ^ 6(t^-60)] = U^pp^[l + a(t^-60)]

This expression can be solved for Z,„, which is the volume of

interest. This can be either a containment or delivery volume.

IK f.D Al+a it .-60)]

Z = ^ —L- _ riol ^60 pQ[l + 3(t^-60)] ^"-''^

The standard vessel, U^o* ^sls a known volume up to the zero

graduation on the neck scale, L . The difference in volume, A^,

between and may be calculated by knowledge of the neck

calibration constant. The numerical value of is used in the

calculation of Z-_,

6 0

p . [U,„ [l+a(t -60) ]+A ] _ A o () A A

rill ^60 - p^[l + 3(t^-60)] ^^-"J

If a standard vessel, U, is used N times to calibrate an unknown

vessel Z, equation 11 can be modified for N number of transfers

as f ol lows :

^60 p [l+o(t -60)] ~

T'-ie correctness of Z^^ may now be tested by use of a check

standard as previously mentioned.

- 12 -
This paper was prepared by John F, Houser, Mass

and Volume Section, Room A123 MET, National Bureau

of Standards, Washington, D, C. 20234.

Telephone: Area Code 301 921-2511

USCOMM-NBS-DC
Date: 6-10-72

VOLUIIETRIC CALIBRATION SUMMARY SHEET

Test performed for:

XYZ Corporation Test Number 123456

Items Maker's Number Scale Property Number Coefficient of

Div. Expansion Assumed

5 Gallon 3 1 in^ 39-B .0000265/"F

50 Gallon 5 1 in^ 39-C .0000265

Maker: ^^^^P^''^ Previous Test No. 99571

Remarks

:

Date Received 6-1-72 Date Shipped 7-15-72

Figure 1 - lA _
Observer A B Test Number 125456 Balance C

Item 5 gallon vessel (graduated neck) Sheet Number I of 3 Begin End

Date 6-15-72 Time 0900 0925 Sensitivity Wt. 500mg

Turning Points

from Balance Scale

Left

Mass Standards

Empty \essel

Empty Vessel

+ Sensitivity

Wei ght

Mass Standards

+ Sensitivity

Weight

Right

A = O2 - Oi + O3 - 0

O3 -

./ 2.075 .500

^1 2 ^-1.175

^1

= -0.441489

Equ i I i br i um

Poi nts

2kg 50g

2kg2 20gi

500g 5g

lOOg Oi = 10.55

9.2 11.9

9.2

5 gallon + cap

13.0

0 =11.50

2 10.0 13.0

5 gallon + cap

+Wg (500mg)

9.6 11.0

O3 = 10.325

9.7

Stds

+Wg (500mg)

10.4

0, =9.2

8.0 10.4

Beg i n End Co rr Corr Mean

Air Temp. °C 25.6 25.7 0 25. 65

Barometer mm of Hg 751.04 750.90 0.35 751. 32

R. H. Reading % 22.1 22.0 13.05 35. 1

Calculated Air Density .00116

F i g u re 2
Observer A B Test Number 123A56 Ba I ance

Item 5 gallon vessel (graduated neck)

Date 6-15-72 Time

Beg i n 09A5

End

1010

Sheet Number 2 of 3

Sensitivity Wt. -"^QQ^g

Turning Points

from Balance Scale

A2

Left

Mass Standards

Ful I Vessel

Fu I I Vesse

I

+ Sensitivity

Weight

Mass Standards

+ Sensitivity

Weight

Right Equi I ibrium f^oints

20kg 500g 12.

7

2kg3^ 50g

1kg 2g3^ 10.3 12.

7

2g2 0, = 11.50

J10. 8 13.0

5 ga 1 Ion + cap

10.9

O2 = 11.93

9.7 11.9

5 ga 1 Ion + cap

9.7

+ Wg (500mg) O3 = 10.8 j'

r

Stds

11.4 j

+W3 (500mg)

8.3 11.3

0, = 9.83

A = O2 - Ol +

\ 2 -J

^2

= -0.265306

Scale Reading +1.0 div.

Beg i n End Corr Corr Mean

Temp

Mix T i me

Air Temp °C 25.8 25.9 0 25.85

Barometer mm of Hg 750.78 750.70 0. 35 751.09

R. H. Reading % 22.0 22.2 13. 0 35.1

J 24.835

w

5 min. Ca 1 cu 1 ated Air Dens i ty p., .OOIM

F i g u re 3

- 16 -
Observer ^ ^ Test Number 123456 Balance

Item 5 gallon vessel (graduated neck) Sheet Number 3 of 3 Begin End

Date 6-15-72 Time 1020 1049 Sensitivity Wt. 500mg

Turning Points

from Balance Scale

Left

Mass Standards

Drained Vessel

Drained Vessel + Sensitivity

Weight

Mass Standards

+ Sensitivity

Weight

Rtght Equilibrium Points

A =

A. =

'O2 - Oi + 03 - oA /

03- 02

2kgi 50g

2kg2 20g

500g lOg

lOOg 5g

11.7

0^ = 10.75

9.8 11.7

5 ga lion + cap

O2 = 10.98

9.9 12.0

10.0

5 ga Mon + cap

+ W3 (500mg) O3 = 9.73

11.4

8.1 11.3

Stds

+Wg (500mg)

= 9.1

7.8 10.4

-0.17

Air Temp °C

Beg i n 25.9End

25.9

Co rr

0

Corr Mean

25.9

Barometer mm of hg 750. 68 750. 68 0.35 751.03

R. H. Reading % 22. 2 22. 2 13.0 35.2

Drain Time 10 sec. Calculated Air Density p .00116 1 ^3

Figure 4

- 17 -
NECK CALIBRATION

Test No: 123456 Date: 6-15-72

Item: 5 Gallon Observer: JFH

SCALE READING VOLUME ADDED DIFF IN SCALE READING

1 . -10.5 r 6^ 0

2. -6.4

6b 1 . 4.19 In3 1 . 4.1

3. -2.2 6^ 2. 4.19 In3 2. 4.2

4. +2.2 3. 4.19 In3 3. 4.4

5. +6.2 4. 4.19 4. 4.0

6. +10.3 5. 4.19 5. 3.9

TOTAL SCALE READING TOTAL VOLUME ADDED

Figure 5

10.5

10.3

20.8 divisions = 20.95 in^

I division = 20.95 in^/20.8

I division = I .01 in^

- 18 -
VOLUME TRANSFER DATA SHEET

Nominal Value: 50 Gal Ion

Type of

Leveling: Attached Date: 06-12-73

Assumed Coefficient of Expansion: 0.0000265 Material: Stainless Steel

Scale Division: 1 in^

Neck Diameter: 3 3/4" Type of Value: ball Water used: Stored

Identification Number: 39-C To Contain

To Del iver Standard

Temperature

21 .I03°C

20.848

UNKNOWN

Temperature

21 .341

20.875

Meniscus

Scale Reading

-12.0

-8.0

Scale Reading

-12.0

-7.9

Norn i nal

Val ue

50

50

Vol from Zero

g 60®F in Gal Ions

50.0048

50.0048

Figure 6

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APPENDIX

Sample Calculation: for Gravimetric Calibration

From the sample data sheets, the follovring necessary data is

required for the calculation of the test measure volume

1. numerical value for "A" (grams)

2. air density (gram /cm^)

3. corrected mass values (grams)

4. volume for mass standards at test temperature (cm^)

Emp t y

Vessel

Full

Vessel

Drained i Vessel

"A" -.441489 -.265306 -.17

Air Den, , 00116 .00116 .00116

Std. 4675 23554 4685

Vol. Stds. 556.67 2804.09 557. 87

5. coeffient of expansion (Cub i cal /

" F ) , = .0000265

6. corrected water temperature = 24.835°C

corresponding water density = .997094 grams/cm

7. scale reading + 1.0 in^ (must be converted to gallons)

Substituting numerical values in equation 4

^ ^

-. 265306- (-.441489)+23554-4675+0. 00116 (556. 67)-0. 00116 (2804. 89) w 0.997094-0.00116

V ^ 18876.56825 " .995934

V = 18953.63372 cm^ w

To convert from cm^ to gallons multiply by .00026417 gal/cm^

V = 18953.6337 x .00026417 w

V = 5.00698 gallons

- 21 -
From equation 5 the volume at 60° F (conventional reference temperature)

is determined.

V^^ = 5.00698 [1 + .0000265 (-16.70)]

oU

V,^ = 5.00476

bU

Substituting numerical values in equation 6:

_

-. 17- (.441489)+4685-4675-0. 00116 (557. 87)+0. 00116 (556. 67)

Bw .997094 - 0.00116

^ 10.270097

.995934

= 10.312025 cm3

= 10.312025 X .00026417 = .002724 gallon

For a delivery volume for equation 7

5.00698 - .00272 = 5.00426 at test temperature

= 5.00204 gallons

Scale reading = +1.0 in^ = +.00432 gallon

Volume of water delivered from the scale 0 point at 60 °F on the graduated

neck is 4.9977 gallons.

USCOMM-NBS'DC - 22 -
FORM NBS-114A (1-71) U.S. DEPT. OF COMM.

BIBLIOGRAPHIC DATA

SHEET

1. PUBLICATION OR REPORT NO.

NBSIR 73-287

2, Gov't Accession

No.

3. Recipient's Accession No.

4. TITLE AND SUBTITLE

Procedures for the Calibration of Volumetric Test Measures

5. Publication Date 8-30-73

6. Performing Organization Code

7. AUTHOR(S) T 1- T7 TT John F. Houser i 8, Performing OrganizuJtion

NBSIR 73-287

9. PERFORMING ORGANIZATION NAME AND ADDRESS

NATIONAL BUREAU OF STANDARDS

DEPARTMENT OF CONLMERCE

WASHINGTON, D.C. 20234

10. Project/Task/Work Unit No. 2320190

11. Contract/Grant No,

12. Sponsoring Organization Name and Address

Same as above

13. Type of Report & Period

Covered

Final

14, Sponsoring Agency Code

15. SUPPLEMENTARY NOTES

16. ABSTRACT (A 200--word or less factual summary of most significant information. If document includes a significant

bibliography or literature survey, mention it here.)

The values for graduated neck type volumetric vessels

may be obtained by either gravimetric or volumetric

calibrations. This text describes the two methods of

calibration and the data reduction associated with

each method. Procedures for preparing these vessels

' for test are discussed. Also included are illustrations for data recording.

]

I 17. KEY \i'ORDS (Alphabetical order, separated by semicolons)

air density; calibration; gravimetric; neck; volumetric;

water density

18. AVAILABILITY STATEMENT

UNLIVITED.

! i FOR 01- FICIAL DISTRIBUTION. DO NOT RELEASE

TO NTiS.

19. SECURITY CLASS

(THIS REPORT)

UNCLASSIFIED

21. NO. OF PAGES

22

20. SECURITY CLASS

(THIS PAGE)

UNCLASSIFIED

22. Price

USCOMM-DC S,62^4-P7l