(a) Find the expression for the reversible pressure-volume work of an isothermal van der Waals gas with a constant number of moles (integrate the expression fully from Vi to Vf) (b) One mole of a gas at 300 K is compressed isothermally and reversibly from an initial volume of 10 L to 0.2 L. Calculate the work done on the system if the gas is ideal.
(c) Calculate the work done on the system under the identical conditions if the same gas obeys the Van der Waals equation of state, with a= 0.6 Pa m6 mol-2 and b =0.064 dm3 mol-1.