Consider the cyclic process ABCA, shown in figure, performed on a sample of `2.0 mol` of an ideal gas. A total of `1200 J` of heat is withdrawn from the sample in the process. Find the work done by the gas during the part BC.

Options

A. `-2520J`
B. `-3250J`
C. `-4520J`
D. `-5520J`

Answer

C

Explanation

`n=2,DeltaQ_(cyclic)=-1200J`
`AB:` isobaric process
`DeltaW_(AB)=nRDeltaT=nR(T_B-T_A)`
`=2xx8.3(500-300)=3320J`
CA: isochoric process
`DeltaW_(CA)=0`
`DeltaW_("cyclic")=DeltaW_(AB)+DeltaW_(BC)+DeltaW_(CA)=DeltaW_("cyclic")`
`3320+DeltaW_(BC)+0=-1200`
`DeltaW_(BC)=-4520J`