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An ideal monatomic gas undergoes a proce...

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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The correct Answer is:
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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