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  4. A diatomic gas (γ=1.4) does 300 J work when it is expanded isobarically. The heat given to the gas in this process is

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

AP EAMCETAP EAMCET 2016

Solution:

Given,
For diatomic gas $(\gamma)=1.4$
Work done $(d W)=300 \,J$
For isobarically expansion,
$\Rightarrow \frac{d W}{d Q}=1-\frac{1}{\gamma}$
$\Rightarrow \frac{300}{d Q}=1-\frac{1}{1.4}$
$\Rightarrow \frac{300}{d Q}=\frac{1.4-1}{1.4}$
$\Rightarrow \frac{300}{d Q}=\frac{0.4}{1.4}$
$\Rightarrow d Q=\frac{300 \times 1.4}{0.4}$
$\Rightarrow d Q=1050\, J$