Question

Figure shows three paths through which a gas can be taken from the state $A$ to the state $B$. Calculate the work done by the gas in each of the three paths.

• A. $0.15,0.3J,0.45J$.
• B. $0.15,0.2J,0.45J$.
• C. $0.15,0.3J,0.9J$.
• D. $0.15,0.3J,0.6J$.

Answer 1

The correct option is A $0.15,0.3J,0.45J$.

Here the three paths are $ADB$ , $AB$ , $ACB$

$\text{Work done in ADB}$

$=W_{AD}+W_{DB}=10\times 15\times {10}^{-3}+0=0.15J$

$\text{Work done in AB}$

$=\text{Area under AB and V-axis}=\frac{1}{2}\times 15\times 20=0.3J$

$\text{Work done in ACB}$

$=W_{AC}+W_{CB}=0+30\times 15\times {10}^{-3}=0.45J$

Option $\text{A}$ is the correct answer.