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Question

An ideal gas is undergoing a cyclic thermodynamic process in different ways as shown in the corresponding PV 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) W12=1γ1(P2V2P1V1)

(i) Isothermal

(II) W12=PV2+PV1

(ii) Isochoric

(III) W12=0

(iii) Isobaric

(IV) W12=nRTln(V2V1)

(iv) Adiabatic



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

The correct option is A (III) (ii) (S)
Work done in Adiabatic process =1γ1[P2V2P1V1]
Work done in Isobaric process =PV2+PV1
Work done in Isochoric process =0
Work done in Isothermal process =nRTln(V2V1)


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