A substance for which k is a constant undergoes an isothermal, mechanically reversible process from initial state(P1-->V1) to (P2-->V2), where V is a molar volume.
a) Starting with the definition of k, show that the path of the process is described by
V=A exp(-kP), where A depends on T only.
b) Determine an exact expression which gives the isothermal work done on 1 mol of this constant-k when k and the initial and final pressures and molar volumes are known.