An ideal gas is undergoing a cyclic thermodynamic process in...

An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding P-V diagrams in column 3 of the table. Consider only the path from state 1 to state 2. W denotes the corresponding work done on the system. The equations and plots in the table have standard notations as used in thermodynamic process. Here $\gamma$ is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas is n.
 

Column – 1	Column – 2	Column – 3
(I) ${W}_{1 \to 2} = \dfrac{1}{\gamma - 1}\left({P}_{2}{V}_{2} - {P}_{1}{V}_{1}\right)$	(i) Isothermal	(P)
(II) ${W}_{1 \to 2} = - P{V}_{2} + P{V}_{1}$	(ii) Isochoric	(Q)
(III) ${W}_{1 \to 2} = 0$	(iii) Isobaric	(R)
(IV) ${W}_{1 \to 2} = - nRTln \left(\dfrac{{V}_{2}}{{V}_{1}}\right)$	(iv) Adiabatic	(S)

Which of the following options is the only correct representation of the process $∆ U = ∆ Q - P ∆ V$ ?