Question

Indicator diagram of an ideal gas is as shown in figure. Find the workdone by the gas in the process $ABCD$.

• A. $3000\text{J}$
• B. $3800\text{J}$
• C. $2200\text{J}$
• D. $2400\text{J}$

Answer 1

The correct option is C $2200\text{J}$

Work done by the gas in the process $ABCD$ is $W_{ABCD}=W_{AB}+W_{BC}+W_{CD}$
Area under process $AB$$W_{AB}=4\times {10}^5(1\times {10}^{-3}-3\times {10}^{-3})$
= $-800\text{J}$
Area under process $BC,W_{BC}=0$
Area under process $CD$ $W_{CD}=6\times {10}^5(6\times {10}^{-3}-1\times {10}^{-3})$
$=3000\text{J}$
$\therefore$ Net workdone $W_{ABCD}=2200\text{J}$