Question

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 I to state 2. W denotes the corresponding work done on the system. The equation 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 is n.   Column 1 Column 2 Column 3 (I) W1→2=1γ−1(P2V2−P1V1) (i) Isothermal (II) W1→2=−PV2+PV1 (ii) Isochoric (III) W1→2=0 (iii) Isobaric (IV) W1→2=−nRTln(V2V1) (iv) Adiabatic

A
(III) (ii) (S)
B
(IV)(ii)(S)
C
(II) (iv) (R)
D
(II) (iv) (P)

Solution

The correct option is A (III) (ii) (S)Work done in Adiabatic process =1γ−1[P2V2−P1V1] Work done in Isobaric process =−PV2+PV1 Work done in Isochoric process =0 Work done in Isothermal process =−nRTln(V2V1) Co-Curriculars

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