An ideal monatomic gas undergoes a process where its pressure is inversely proportional to its temperature. (a) Calculate the molar specific heat of the process. (b) Find the work done by two moles of gas if the temperature change from `T_1` to `T_2`.

An ideal monatomic gas undergoes a process where its pressure is inver

1.	An ideal monatomic gas undergoes a process where its pressure is inversely proportional to its temperature. (a) Calculate the molar specific heat of the process. (b) Find the work done by two moles of gas if the temperature change from `T_1` to `T_2`.
Answer» Correct Answer - A::B::D (a) `pprop1/T` or `pT=const ant` `:.` `p(pV))=const ant` or `pV^(1//2)=const ant` In the process, `pV^x=const ant`, Molar heat capacity is `C=C_V+(R)/(1-x)` or `C=3/2R+(R)/(1-1/2)` `=3/2R+2R=7/2R` (b) `W=Q-DeltaU=nCDeltaT-nC_VDeltaT` `=n(C-C_V)DeltaT` `=2[7/2R-3/2R](T_2-T_1)` `=4R(T_2-T_1)`

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An ideal monatomic gas undergoes a process where its pressure is inversely proportional to its temperature. (a) Calculate the molar specific heat of the process. (b) Find the work done by two moles of gas if the temperature change from `T_1` to `T_2`.

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