The equation of state of an ideal gas is given by,

PV = nRT

Where, n is the number of moles of the gas and R is the gas constant for one mole of the gas.

### The gas law

#### Boyle’s law

If \(\mu\) and T are constant then idael gas equation becomes, $$PV = Constant $$ or $$ P \propto \frac{1}{V} $$ This is the Boyle’s law.

#### Charle’s law

If \(\mu\) and P are constant then idael gas equation becomes,

$$ V \propto T $$ This is the Charle’s law.

#### Gay lussac’s law

If \(\mu\) and V are constant then idael gas equation becomes,

$$ P \propto T $$

This is the Gay lussac’s law.