# IB Chemistry/Acids and Bases

This is chapter 9, and this space will hopefully house an introduction to the chapter.

## Properties of acids and bases
### Properties of acids and bases in aqueous solution

A reaction between a strong acid and a strong base produces water and a salt. For a reaction between a weak acid with a strong base, or between a strong acid with a weak base, only a salt is produced. For example:
$^{\rm {{HCl}+{\rm {{NaOH}\to {\rm {{H}_{2}{\rm {{O}+{\rm {NaCl}}}}}}}}}}$
$^{\rm {{HCl}+{\rm {{NH}_{3}\to {\rm {{NH}_{4}{\rm {Cl}}}}}}}}$
Acids reacting with metals will produce hydrogen gas, e.g. $^{2{\rm {{HCl}+{\rm {{Mg}\to {\rm {{MgCl}_{2}+{\rm {{H}_{2}}}}}}}}}}$.
Acids reacting with carbonates will produce water and carbon dioxide, e.g. $^{2{\rm {{HCl}+{\rm {{CaCO}_{3}\to {\rm {{CO}_{2}+{\rm {{H}_{2}{\rm {{O}+{\rm {{CaCl}_{2}}}}}}}}}}}}}}$.

### Experimental properties of acids and bases

When acids and bases neutralize, the reaction is noticeably exothermic (i.e., heat can be felt coming from the reaction). Obviously, they will have an effect on the color of indicators as described below. The hydrogen produced in the reaction of acids with metal will produce a 'pop' sound if a match is held to it, and the CO$_2$ from the carbonate reaction will turn limewater a milky white when bubbled through it.
Examples of some acids: $^{\rm {HCl}}$, $^{\rm {{CH}_{3}{\rm {COOH}}}}$, $^{\rm {{H}_{2}{\rm {{SO}_{4}}}}}$, $^{{\rm {{NH}_{4}}}^{+}}$.
Examples of bases: $^{\rm {NaOH}}$, NH$_3$, CH$_3$COO$^-$.

## Brønsted-Lowry acids and bases
### 8.1.1: Define acids and bases according to Brønsted Lowry theory

According to the Brønsted-Lowry theory, acids are defined as proton (H$^+$ ion) donors and bases are defined as proton acceptors.
For a compound to act as a B-L acid, it must have a hydrogen atom in it, which it is capable of losing while remaining fairly stable. A BL base must be capable of accepting a hydrogen ion while remaining relatively stable (or reacting to form a stable compound, e.g. water and a salt). Some compounds (such as water) may act as both, e.g. (H$_2$O-> OH$^-$ or H$_3$O$^+$). These substances are called "amphoteric".
Acid base reactions always involve an acid-base conjugate pair. If the reactant is an acid, the matching product is its conjugate base, e.g. HCl/Cl$^-$, CH$_3$COOH/CH$_3$COO$^-$, NH$_4$$^+$/NH$_3$.
The conjugate base will always have one less H atom than the acid (or the acid one more than the base). In compounds where there are many hydrogen atoms, the one which is held the weakest is generally the one which is lost, and this must be reflected in the writing of the compound, as in the CH$_3$COOH example above.

## Lewis theory

Lewis defined acids as electron pair acceptors and bases as electron pair donors.
A simple proton-hydroxide reaction shows that this is equivalent to Brønsted-Lowry theory:
H$^+$ + :OH$^-$ --> H-OH
The proton is accepted because the hydroxide has a pair of electrons with which it forms a covalent bond to the proton.
Lewis theory goes beyond Brønsted-Lowry theory to describe non-proton acid-base reactions:
F$_3$B + :NH$_3$ --> F$_3$B-NH$_3$
Ligands and nucleophiles can be classed as Lewis bases. Lewis acids include metal ions and electrophiles.
Ag$^+$ + 2 :NH$_3$ --> [Ag(NH$_3$)$_2$]$^+$

## 8.3 - Strong and weak acids and bases
### 8.3.1 Distinguish between strong and weak acids and bases in terms of the extent of dissociation, reaction with water and electrical conductivity.

Strong and weak acids are defined by their ease of losing (or donating) a proton. A strong acid, when placed in water, will almost fully ionise/dissociate straight away, producing H$_3$O$^+$ ions from water. a weak acid will, however, only partially do this, leaving some unreacted acid remaining. This is set up as an equilibrium, and so when some of the H$_3$O$^+$ ions produced by a weak acid are reacted, LCP means that more of the acid will react to form H$_3$O$^+$ ions. This means that, given an equal number of moles of acid, they will be neutralized by the same amount of strong base, but their solutions will have different pH values. A weak base is the same as this, only it accepts protons and so produces OH$^-$ ions from water rather than H$_3$O$^+$. Any solution's ability to conduct electricity is defined by its ionic charges. As a result, a strong acid will produce more charged ions than a weak one, and so its solution will be a better electrical conductor than a weak acid. The same goes for strong/weak bases.

### Examples of strong and weak acids and bases

Strong acids : HCl, HNO$_3$, H$_2$SO$_4$, HClO$_3$, HBr .
Weak acids : CH$_3$COOH, H$_2$CO$_3$.
Strong bases : group 1 hydroxides (e.g. NaOH, etc.), BaOH.
Weak bases : NH$_3$, CH$_3$CH$_2$NH$_2$.

### 8.3.3 - Distinguish between strong and weak acids and bases and determine the relative strengths of acids and bases using experimental data.

The strength of an acid or base can obviously be measured with a universal indicator or a pH meter, and also the rate of reaction. Hydrogen production with metals or CO$_2$ with CaCO$_3$ will reveal the strength of an acid. The relative acidities can also be found by neutralizing two acids with a strong base in the presence of an indicator.

## The pH scale

pH values range up and down from 7 (being the neutral value of pure water at 25°C and 1 atmosphere). Lower pH value are acidic; higher values are basic. pH can be measured with a pH meter, or with pH paper (paper containing a mixture of indicators to cause a continuous color change). pH is a measure of the concentration of H$_3$O$^+$ ions.
If we have two solutions with their pH values, the lower one will be more acidic and the higher one will be more basic (though they could both still be basic/acidic with respect to water – pH 7).
9.4.3 : a change of 1 in the pH scale represents a 10 times change in the acidity or basicity of the solution (because it is a logarithmic scale). Concentration is equal to 10$^{-pH}$ or pH=-log$_{10}$[H$_3$O$^+$] where [H$_3$O$^+$] is the concentration of hydrogen ions in solution.

## HL Material

Topic 18 is the additional HL material for Topic 9.
Brønsted-Lowry acids and bases
An acid is a substance that can donate a proton, or hydrogen ion A base is a substance that can accept a proton, or hydrogen ion
Lewis theory
A Lewis acid is a lone pair acceptor and a Lewis base is a lone pair donor.

### Calculations involving acids and bases

This HL Sub-topic is Sub-topic 5 of SL Option A, with one difference: The SL Option does not require knowledge of K$_a$ x K$_b$ = K$_w$.

### Indicators

Indicators change colour depending in the presence of acid or base. Here is a table of common indicators:
| Indicator | pK$_a$ | pH range | Acid colour | Alkali colour |
| methyl orange | 3.7 | 3.1-4.4 | red | yellow |
| bromophenol blue | 4.0 | 3.0-4.6 | yellow | blue |
| bromophenol green | 4.7 | 3.8-5.4 | yellow | blue |
| methyl red | 5.1 | 4.2-6.3 | red | yellow |
| bromothymol blue | 7.0 | 6.0-7.6 | yellow | blue |
| phenol red | 7.9 | 6.8-8.4 | yellow | red |
| phenolphthalein | 9.3 | 8.3-10.0 | colourless | red |
Table adapted from: Stark JG & Wallace, HG (1982) Chemistry Data Book p103 2nd ed, John Murray, London.