Question

Derive wonderwall equation of states of real gases

Answer 1

For real gas, using Van der Waals equation, the volume of a real gas is given as (Vm – b), where b is volume occupied by per mole.

Therefore, ideal gas law when substituted with V = Vm – b is given as:

P(Vm−b)=nRT

Because of intermolecular attraction P was modified as below

(P+aV2m)(Vm−b)=RT (P+an2V2)(V−nb)=nRT

Where,

Vm: molar volume of the gas

R: universal gas constant

T: temperature

P: pressure

V: volume

Thus, Van der Waals equation can be reduced to ideal gas law as PVm = RT.