(B) For a gas expanding at constant pressure,the heat supplied is $dQ = n C_p dT$.The work done is $dW = P dV = n R dT$.The fraction of heat converted

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$\left(1 - \frac{1}{\gamma}\right)$

(B) For a gas expanding at constant pressure,the heat supplied is $dQ = n C_p dT$.The work done is $dW = P dV = n R dT$.The fraction of heat converted into work is $\eta = \frac{dW}{dQ} = \frac{n R dT}{n C_p dT} = \frac{R}{C_p}$.Since $C_p = \frac{\gamma R}{\gamma - 1}$,we have $\eta = \frac{R}{\frac{\gamma R}{\gamma - 1}} = \frac{\gamma - 1}{\gamma} = 1 - \frac{1}{\gamma}$.

Class 11 Physics Thermodynamics Isobaric and Isochoric Processes

Difficult

When heat is supplied to a monoatomic gas,it expands at constant pressure. What fraction of the heat supplied is converted into work?

A
$\frac{1}{\gamma}$
B
$\left(1 - \frac{1}{\gamma}\right)$
C
$\gamma - 1$
D
$\left(1 - \frac{1}{\gamma^2}\right)$

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When heat is supplied to a monoatomic gas,it expands at constant pressure. What fraction of the heat supplied is converted into work?

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