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…

Question

n mole of a perfect gas undergoes a cyclic process A B C A (see figure) consisting of the following processes. A &#8594; 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 &#8594; C : Isobaric compression at pressure P 2 to initial volume V 1 . C &#8594; 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:

Aicharya · Accepted Answer

W isothermal = nRT ln V 2 V 1 \ W isobaric = P &#916; V = n R &#916; T W isochoric = 0 W 1 = n R T ln 2 &#160; V &#160; V = n R T ln 2 W 2 = n R T 2 - T = - n R T 2 W 3 = 0 &#8658; W net = W 1 + W 2 + W 3 W net = n R T ln 2 - 1 2

n mole of a perfect gas undergoes a cyclic process A B C A (see figure) consisting of the following…

Solution