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Q.

The molar heat capacity for an ideal gas at constant pressure is 20.785 J K-1 mol-1. The change in internal energy is 5000 J upon heating it from 300K to 500K. The number of moles of the gas at constant volume is ___ [Nearest integer]

(Given: R = 8.314 J K-1 mol-1)

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answer is 2.

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Detailed Solution

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Cp,m=Cv,m+R⇒Cv,m=20.785−8.314=12.471Jk−1ml−1ΔU=nCv,mΔT⇒n=500012.471×200=2512.471≈2

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