Ideal gas law is a law relating the pressure, temperature and volume of an ideal gas.
Ideal gas equation is combination of three laws (Boyle’s Law, Charles’ Law and Avogadro Law) and gives a single equation (PV = nRT) called as Ideal gas equation.
Mathematically,
According to Boyle’s law; at constant T and n,
V ∝ 1/P …(1)
According to Charle’s law; at constant P and n,
V ∝ T …(2)
According to Avogadro law; at constant T and n,
V ∝ n …(3)
From equation 1, 2 and 3; we get,
V ∝ nT/P …(4)
Or, V = RnT/P …(5)
or, PV = nRT …(6)
Then, R = PV/nT …(7)
Where, R is a gas constant which is same for all gases and known as Universal gas constant and equation (6), PV = nRT is known as ideal gas equation.