1. A certain gas can be described by the following equation of state:
(p+a/V2)(V-b)=nRT
p, T and V are resp. the pressure, the temperature and the volume. a and b are the so-called van der Waals parameters.
Compute w, U and q is 1 mol of this gas expands reversible and isothermal from V1 to V2.
Note that: (dU/dV)T=T.(dp/dT)v-p