Assuming the gas to be ideal the work done on the gas in taking it from $A$ to $B$ is
Assuming the gas to be ideal the work done on the gas in taking it from $A$ to $B$ is
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$200 \mathrm{R}$
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$300 \mathrm{R}$
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$400 \mathrm{R}$
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$500 \mathrm{R}$
Solution
$
\begin{aligned}
& W_{A B}=\Delta Q-\Delta U={ }^{\prime} C_p d T-n C_v d T \text { (at } \\
& \text { constant pressure }) \\
& =n\left(C_p-C_v\right) d t \\
& =n R d T=2 \times R \times(500-300)=400 \mathrm{R}
\end{aligned}
$

Asked in: JEE Main 2009
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