A diatomic gas (gamma = 1.4) does 300 J of w | vedclass

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(A) For an isobaric process,the work done is $dW = P dV$ and the heat supplied is $dQ = n C_p dT$.Using the relation $C_p = \frac{\gamma R}{\gamma - 1

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$1050$

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(A) For an isobaric process,the work done is $dW = P dV$ and the heat supplied is $dQ = n C_p dT$.Using the relation $C_p = \frac{\gamma R}{\gamma - 1}$ and $dW = n R dT$,we have:$\frac{dW}{dQ} = \frac{nR dT}{n C_p dT} = \frac{R}{C_p} = \frac{R}{\frac{\gamma R}{\gamma - 1}} = \frac{\gamma - 1}{\gamma}$.Given $\gamma = 1.4$ and $dW = 300 \ J$,we substitute these values:$\frac{300}{dQ} = \frac{1.4 - 1}{1.4} = \frac{0.4}{1.4} = \frac{4}{14} = \frac{2}{7}$.Therefore,$dQ = 300 	imes \frac{7}{2} = 150 	imes 7 = 1050 \ J$.

$A$ diatomic gas $(\gamma = 1.4)$ does $300 \ J$ of work when expanded isobarically. The heat given to the gas in this process is: (in $J$)

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