# What is the ideal gas equation?

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.