The value of γ for helium is 5/3. Calculate the specific heat capacity at constant volume, if it’s molar mass is 4:

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5187.5 J/kg K

3112.5 J/kg K

31.125 J/kg K

3.1125 J/kg K

answer is B.

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Detailed Solution

we know that CV=3R/2=12.45 J/ mol-K for helium which is monoatomic. Therefore, specific heat capacity of gas at constant volume is cv=CvM=12.45 4=3.1125 Jgm-1K-1Cv=molar specific heat of gas at constant volumeM= molecular weightOr cv=3.1125×103 Jkg-1K-1⇒cv=3112.5 Jkg-1K-1

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