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Question

Physics Question on Thermodynamics

An ideal monoatomic gas is taken round the cycle ABCDAABCDA as shown in the P - V diagram (see figure). The work done during the cycle is

A

12PV\frac{1}{2} \,P V

B

PVPV

C

2PV2 \,P V

D

4PV4\, P V

Answer

PVPV

Explanation

Solution

Work done during the cycle
area enclosed by P-V graph
=area of ABCD\square \,A B C D
=AD×CD=A D \times C D
=(2VV)×(2PP)=(2 V-V) \times(2 P-P)
=PV=PV