Relating Boyle, Charles Gay-Lussac and Charles Laws it is possible to establish an equation that relates the state variables: pressure (p), volume (V) and absolute temperature (T) of a gas.

This equation is called the Clapeyron Equation, named after the French physicist Paul Emile Clapeyron who established it.

Where:

p = pressure;

V = volume;

n = number of moles of gas;

R = universal constant of perfect gases;

T = absolute temperature.

Example:

(1) What is the volume occupied by one mole of perfect gas under pressure of 5000 N / m² at a temperature of 50 ° C?

Given: 1atm = 100000N / m² and

Replacing the values in the Clapeyron equation: