n mole of a perfect gas undergoes a cyclic process A B C A (see figure) consisting of the following processes. A \to 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 \to C: Isobaric compression at pressure p_{2} to initial volume V_{1}. C \to 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 24 Feb 2021 Shift1

Correct Answer is : nRT(ln2−12)

JEE Main 24 Feb 2021 Shift 1 Solved Paper

Section: Physics

Question : 9 of 90

Marks: +1, -0

n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.
A→B : Isothermal expansion at temperature T, so that the volume is doubled from V1 to V2=2V1 and pressure changes from p1 to p2.
B→C: Isobaric compression at pressure p2 to initial volume V1.
C→A : Isochoric change leading to change of pressure from p2 to p1.
Total work done in the complete cycle ABCA is

24 Feb 2021 Shift1

0
nRT(ln‌2+‌
1
2
)
nRT‌ln‌2
nRT(ln‌2−‌
1
2
)

Validate

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