n mole of a perfect gas undergoes a cyclic process A B C A (see figure) consisting of the following processes. A → B : Isothermal expansion at temperature T so that the volume is doubled from V 1 to V

Question

n mole of a perfect gas undergoes a cyclic process A B C A (see figure) consisting of the following processes. A → B : Isothermal expansion at temperature T so that the volume is doubled from V 1 to V 2 = 2 V 1 and pressure changes from P 1 to P 2 B → C : Isobaric compression at pressure P 2 to initial volume V 1 . C → A : Isochoric change leading to change of pressure from P 2 to P 1 Total work done in the complete cycle A B C A is:

TestHub · Accepted Answer

W isothermal = nRT ln V 2 V 1 \ W isobaric = P Δ V = n R Δ T W isochoric = 0 W 1 = n R T ln 2 V V = n R T ln 2 W 2 = n R T 2 - T = - n R T 2 W 3 = 0 ⇒ W net = W 1 + W 2 + W 3 W net = n R T ln 2 - 1 2

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