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JEE Advanced 2017 Paper 1

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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 processes. Here γ is the ratio of heat capacities at constant pressure and constant volume. The number of moles in the gas in n.

Column 1	Column 2	Column 3
(I) $W_{1\rightarrow2}\frac{1}{\gamma-1}(P_2V_2-P_1V_1)$	(i) Isothermal	(P)
(II) $W_{1\rightarrow2}=-P_2V_2+PV_1$	(ii) Isochoric	(Q)
(III) $W_{1\rightarrow2}=0$	(iii) Isobaric	(R)
(IV) $W_{1\rightarrow2}=-nRT\ln\left(\frac{V_2}{V_1}\right)$	(iv) Adiabatic	(S)