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Thermodynamic processes

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 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 ration of heat capacities at constant pressure and constant volume. The number of moles in the gas is n.
 
Column 1Column 2Column 3
(I) W12=1γ1P2V2P1V1(i) Isothermal

(P) 

(II) W12=PV2+PV1(ii) Isochoric

(Q) 

(III) W12=0(iii) Isobaric

(R) 

(IV) W12=nRTln(V2V1)(iv) Adiabatic

(S) 

Which one of the following options is the correct combination?

Moderate
Solution

Work done in isochoric process is zero 
 W12=0   as  ΔV=0
Graph ‘S’ represents isochoric processes
 



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