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Six moles of an ideal gas performs a cyc...


Six moles of an ideal gas performs a cycle shown in figure, the temperature are `T_A=600K,T_B=800K`,`T_C=2200K` and `T_D=1200K`, the work done per cycle is

A

20 kJ

B

30 kJ

C

40 kJ

D

60 kJ

Text Solution

Verified by Experts

The correct Answer is:
C
`n=6`
AB: isochoric process, `DeltaW_(AB)=0`
BC: isobaric process, `DeltaW_(AB)=nRDeltaT=nR(T_C-T_B)`
`=6R(2200-800)`
`=8400R`
CD: isochoric process, `DeltaW_(CD)=0`
DA: isobaric process, `DeltaW_(BC)=nRDeltaT=nR(T_A-T_D)`
`=6R(600-1200)`
`=-3600R`
`DeltaW_(cyclic)=DeltaW_(AB)+DeltaW_(BC)+DeltaW_(CD)+DeltaW_(DA)`
`=8400R-3600R=4800R=4800xx8.3`
`=39,840Jcong40kJ`
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