Question

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

• A. 1050 J
• B. 950 J
• C. 600 J
• D. 550 J

Answer 1

Answer: (A)

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