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Questions  

P-V curve of a diatomic gas is shown in the figure. Find the total heat given to the gas in the process A  B C

a
P0V0+2P0V0 ln 2
b
12P0V0+P0V0 ln 2
c
52P0V0+2P0V0 ln 2
d
3P0V0+2 P0V0ln 2

detailed solution

Correct option is C

From first law of thermodynamics∆QABC = ∆UABC + ∆WABC∆WABC = ∆WAB+∆WBC = 0 + nRTBln VCVB                 = nRTB ln 2V0V0               = nRTB ln 2 = 2P0V0 ln 2∆U = nCV∆T = 52(2P0V0-P0V0)⇒∆QABC = 52P0V0+2P0V0 ln 2

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In the P-V diagram shown in figure, ABC is a semicircle. Find the work done in the process ABC.


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