A substance for which K $($isothermal compressibility$)$ is constant, undergoes an

isothermal, mechanically reversible process from the initial state of P$1,$ V$1$ to a final state

of P$2,$ V$2,$ where V is the molar volume. Use the definition of K and show that the path of

the process is described by: V$=$Ce$^-$kp where C is some constant with units of molar volume. Also find an exact

expression which gives the isothermal work done on $2$ moles of this substance. Again, use

the definition of K and W $=$PdV