Acids and Bases can be defined many ways the most common being Brønsted-Lowry acids and bases and Lewis acids and bases
In aqueous solution an acid will form the hydronium ion H3O+ and a base will form OH- ions.
Common acids include;
Common bases include;
pka is defined as
with the derivation of ka here
pkb is defined as
with the derivation of kb here
pka and pkb are realated by pkw which is the acidity constant of pure water. It is defined as follows 
pkw relates pka and pkb as follows 
pkb values are not usually tabluated, instead as a result of this easy relationship pka values are usually the ones noted.
In order for a acid and base reaction to work the pka forthe acid must be lower. The greater the difference in pka values the faster the reaction will proceed.
A table of pka values can be found here
Common reactions include the following examples

Indicators
Indicators are weak acids in which the acid and conjugate base has different colours. They provide a useful indicator for the end points of reactions, where the pH at the end is known. A table of selected indicators follows
| Indicator | pka | Colour of acid | Colour of base | pH range |
|---|---|---|---|---|
| Phenolphthalein | 9.50 | Colourless | Pink | 8.0-10.0 |
| Phenol red | 8.00 | Yellow | Red | 9.2-8.2 |
| Bromocresol purple | 6.40 | Yellow | Purple | 5.2-6.8 |
| Bromocresol green | 4.90 | Yellow | Blue | 3.8-5.4 |
| Methyl orange | 3.46 | Red | Yellow | 3.2-4.4 |
| Thymol blue | 1.65 | Red | Yellow | 1.2-2.8 |
| Thymol blue | 9.20 | Yellow | Blue | 8.0-9.8 |