n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.A $ \to $ B : Isothermal expansion at temperature T so that the volume is doubled from V1 to V2 = 2V1 and pressure charges from P1 to P2B $ \to $ C : Isobaric compression at pressure P2 to initial volume V1.C $ \to $ A : Isochoric change leading to change of pressure from P2 to P1.Total workdone in the complete cycle ABCA is :

Question

n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.

A $ \to $ B : Isothermal expansion at temperature T so that the volume is doubled from V₁ to V₂ = 2V₁ and pressure charges from P₁ to P₂

B $ \to $ C : Isobaric compression at pressure P₂ to initial volume V₁.

C $ \to $ A : Isochoric change leading to change of pressure from P₂ to P₁.

Total workdone in the complete cycle ABCA is :

nRTln 2

$nRT\left( {\ln 2 - {1 \over 2}} \right)$

$nRT\left( {\ln 2 + {1 \over 2}} \right)$

Solution

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