Q137 / 160 · AP EAMCET 2016 · Physics

A diatomic gas $(\gamma=1.4)$ does $300 \mathrm{~J}$ work w expanded isobarically. The heat given to the ga process is

  • Correct answer
    A
    $1050\ J$
  • B
    $950\ J$
  • C
    $600\ J$
  • D
    $550\ J$

Solution

For isobarically expansion, $\frac{d W}{d Q}=1-\frac{1}{\gamma}$ $\begin{aligned} & \frac{300}{d Q}=1-\frac{1}{14}[\because \text { For diatomic gas } \gamma=1.4 \& \mathrm{dw}=300 \mathrm{~J}] \\ & \Rightarrow \frac{300}{d Q}=\frac{14-1}{14}=\frac{0.4}{14} \\ & \therefore \quad d Q=\frac{300 \times 14}{0.4}=1050 \mathrm{~J} \end{aligned}$

Hence, the correct answer is option: 'A'.

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