Question

The relation between P, V and T for a real gas which is not considered as an ideal gas, is given by the following relation:
                          (P + a / V 2) (V-b) = RT, 
 where a and b are constants.

Derive the expression of the work carried out by the gas when the volume varies from V1 to V2 isothermally.

Answer 1

There are many relations among P, V, and T for real gases but one of the simplest equation which gives the relations among them is Vander wall Equation

(P+ (an2/V) ) (V- nb) = nRT

where a nd b are constants

P is pressure
V is volume of container
n is number of moles of gas
R gas constant
T is temperature

And here the term " an2/V " gives the equivalant to pressure

and nb gives the equivalnt ot volume