Change in temperature is ,ΔT=4T−T=3T
Given, gas obeys the law
P=aT−1
Now, from ideal gas law, PV=nRT
and solving the above equation we get,
PV21=constant
Thus, process is poly-tropic.
We, know that molar heat capacity is
C=Cv+1−xR
Hence,
C=Cv+2RNow, we also know that, heat absorbed is
ΔQ=nCΔT=ΔU+ΔW=nCvΔT+ΔW
Therefore, we get, work done is
ΔW=nΔT(C−Cv)=6nRTNote: R is universal gas constant.
Comments
Leave a comment