A gas undergoes a thermodynamic process from state (P1 V1 T1) to state (P2, V2, T2). For the given process if PV3/2 = constant, find the work done by the gas.
(1) \(\frac {(P_2V_2 - P_1 V_1)}{2}\)
(2) \(\frac {(P_1V_1 - P_2 V_2)}{2}\)
(3) \(\frac {3}{2}(P_1V_1 - P_2V _ 2)\)
(4) \(2(P_1V_1 - P_2 V_ 2)\)