Solve the following problem:
(a) Calculate the work done upon expansion of 1mol of gas quasi-statically and isothermally from volume Vi to a volume vf, when the equation of state is
(P + a/v2)(v - b) = RT
Where a and b are the van der Waals constants.
(b) If a = 1.4 x 109 N . m4 /mol and b = 3.2 X 10-5 m3/mol, how much work is done when the gas expands from a volume of 10 liters to a volume of 22.4 liters at 20°C?