# How would you derive the ideal gas equation?

##### 1 Answer

Refer to the explanation.

#### Explanation:

Boyle's law states that the volume of a fixed mass of a gas is inversely proportional to the pressure.

Charles' law states that the volume of a fixed mass of a gas held at constant pressure is directly proportional to its absolute temperature (Kelvins).

Avogadro's law states that If the amount (moles) of gas in a container is directly proportional to the volume.

From these three laws we get:

A gas constant,

The units of the gas constant depend on the units used for volume, pressure, moles, and temperature. It can be calculated using the molar volume, pressure, and temperature of a gas at STP: