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Question

An ideal gas undergoes the process 1 2 as shown in the figure, the heat supplied and work done in the process is Q and W respectively. The ratio Q:W is(1) γ:γ-1(2) γ(3) γ-1(4) γ-1:γ

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Solution

Dear Student,


from the graph V α T.PV=nRTas the volume increases temp increases.means pressure is constant .iso baric process.coordinate at 1 P,V,Tcoordinate at 2 P,V',T'V'>V , T'>T.Q=W+UU=nCVT'-T.W=PV'-VQ=PV'-V+nCVT'-T=PV'-V+CVPV'R-PVRQW=V'-V+CVV'R-VRV'-V=1+CvR=1+CvCP-Cv=CPCP-Cv=CPCvCPCv-1=γγ-1option 1Regards

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