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Q.

Three moles of an ideal gas CP=7R2at pressure PAand temperature TA is isothermally expanded to twice its initial volume. It is then compressed at constant pressure to its original volume. Finally the gas is compressed at constant volume to its original pressure PA.  The correct P-V  diagram indicating the processes  are

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a

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b

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c

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d

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answer is A.

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Detailed Solution

Let the process start from initial pressurePA , volume VA  and temperatureTA .
 

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(i)     Isothermal expansion (PV=constant)  at temperature TA  to twice the initial volume  VA
(ii)    Compression at constant pressure PA2to original volume  VA (i.e.VT)
(iii)    Isochoric process (at volume VA) to initial condition  (i.e. PT)

 

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