An ideal gas expands isothermally from volume $V_1$ to volume $V_2$. It is then compressed to the original…

An ideal gas expands isothermally from volume $V_1$ to volume $V_2$. It is then compressed to the original volume $V_1$ adiabatically. If $p_1, p_2$ and $W$ represent the initial pressure, final pressure and the net work done by the gas respectively during the entire process, then
  1. $p_1>p_2, W=0$
  2. $p_1>p_2, W>0$
  3. $p_2>p_1, W>0$
  4. $p_2>p_1, W < 0$

Solution


From graph it is clear that, $p_2>p_1$. Since, area under adiabatic process (BCED) is greater than that of isothermal process ( $A B D E)$. Therefore, net work done $\because \quad W_A>W_1$ $\Rightarrow \quad W < 0$ Hence option (d) is correct.

Asked in: AP EAMCET 2010

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