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Q.

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

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a

P0V0+2P0V0 ln 2

b

12P0V0+P0V0 ln 2

c

52P0V0+2P0V0 ln 2

d

3P0V0+2 P0V0ln 2

answer is C.

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Detailed Solution

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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