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1 mole of rigid diatomic gas performs a work of Q5 when heat Q is supplied to it. The molar heat capacity of the gas during this transformation is xR8 .The value of x is _____ [R=universal gas constant]

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answer is 25.

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Detailed Solution

For Diatomic gas, γ=75△U=Q−W=Q−Q5=4Q5⇒ΔU=4Q5 Also, △U=nCVΔT⇒4Q5=1×5R2ΔT⇒45×1×C×ΔT=1×5R2ΔT∵ΔQ=nCpΔT⇒C=25R8Comparing with xR8we getSo, x=25

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