An ideal gas is made to undergo a termodynamic process given by `V prop T^(2)` , find the molar heat capacity of the gas for the above process.A. `(R)/((gamma-1))`B. `(gammaR)/((gamma-1))`C. `((2gamma-1)/(gamma-1))R`D. `((2gamma-1)/(gamma+1))R`

An ideal gas is made to undergo a termodynamic process given by `V pro

1.	An ideal gas is made to undergo a termodynamic process given by `V prop T^(2)` , find the molar heat capacity of the gas for the above process.A. `(R)/((gamma-1))`B. `(gammaR)/((gamma-1))`C. `((2gamma-1)/(gamma-1))R`D. `((2gamma-1)/(gamma+1))R`
Answer» Correct Answer - C Given: `VpropT^(2)` `V=KT^(2)` where `k` is constant. Differentating both sides, of the above equation, we have `dV=2kTdT or P=(nR)/(kT) dW=PdV` `=(nR)/(kT)2kTdT=2nRdT(dW)/(ndT)=2R` The molar heat capacity of the gas for the process will be `C=C_(v)+W=(R)/(gamma-1)+2R=((2gamma-1)/(gamma-1))R`

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An ideal gas is made to undergo a termodynamic process given by `V prop T^(2)` , find the molar heat capacity of the gas for the above process.A. `(R)/((gamma-1))`B. `(gammaR)/((gamma-1))`C. `((2gamma-1)/(gamma-1))R`D. `((2gamma-1)/(gamma+1))R`

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