If for an ideal gas, the ratio of pressure and volume is constant and is equal to 1 atm `L^(-1)` , the molar heat capacity at constant pressure would beA. `(3)/(2)R`B. `2R`C. `(5)/(2)R`D. zero

If for an ideal gas, the ratio of pressure and volume is constant and

1.	If for an ideal gas, the ratio of pressure and volume is constant and is equal to 1 atm `L^(-1)` , the molar heat capacity at constant pressure would beA. `(3)/(2)R`B. `2R`C. `(5)/(2)R`D. zero
Answer» Correct Answer - C By definition, `H=E+PV` `((dH)/(dT))_(P)=((dE)/(dT))_(P)+P((dV)/(dT))_(p)=C_(p),m` For the given ideal gas, we will have `PV=RT` or `V^(2)=RT` or `2V((dV)/(dT))_(P)=R` or `((dV)/(dT))_(P)=(R)/(2V)` `E=(3RT)/(2)` or `((dE)/(dT))_(P)=(3)/(2)R=C_(v),m` `C_(P),m=(3)/(2)R+Pxx(R)/(2V)=((3)/(2)+(1)/(2))R=2R`

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If for an ideal gas, the ratio of pressure and volume is constant and is equal to 1 atm `L^(-1)` , the molar heat capacity at constant pressure would beA. `(3)/(2)R`B. `2R`C. `(5)/(2)R`D. zero

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