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Q.

A monatomic gas performs a work of Q4 where Q is the heat supplied to it. The molar heat capacity of the gas will be _______ R during this transformation. Where R is the gas constant.

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answer is 2.

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Detailed Solution

By 1st law of of thermodynamics, 
ΔU=ΔQ−Δw Now, ΔU=32nRΔT ∵ΔU=f2nRΔT⇒3Q4=32RnΔT⇒nΔT=Q2R As, Q=nCΔT⇒Q=Q2R×C∵nΔT=Q2R⇒C=2R

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