The net work done on the gas in the cycle ABCDA is

The net work done on the gas in the cycle ABCDA is
  1. Zero
  2. $276 \mathrm{R}$
  3. $1076 \mathrm{R}$
  4. $1904 \mathrm{R}$

Solution

$ \begin{aligned} \text { Net work done in a cycle } & =W_{A B}+W_{B C}+W_{C B}+W_{B A} \\ & =400 R+2 \times 2.303 \times 500 R \ln 2-400 R-414 R \\ & =1000 R \times \ln 2-600 R \times \ln 2=400 R \times \ln 2=276 R \end{aligned} $

Asked in: JEE Main 2009

Practice more Thermodynamics questions on Aicharya