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
  1. $200 \mathrm{R}$
  2. $300 \mathrm{R}$
  3. $400 \mathrm{R}$
  4. $500 \mathrm{R}$

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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