Question

An ideal gas is taken from point $A$ to the point $B$ , as shown in the $p-V$ diagram, keeping the temperature constant. The work done in the process is :

• A. $\left(p_{A}-p_{B}\right)\,\left(V_{B}-V_{A}\right)$
• B. $\frac{1}{2}\left(p_{B}-p_{A}\right)\,\left(V_{B}+V_{A}\right)$
• C. $\frac{1}{2}\left(p_{B}-p_{A}\right)\,\left(V_{B}-V_{A}\right)$
• D. $\frac{1}{2}\left(p_{A}+p_{B}\right)\,\left(V_{B}+V_{A}\right)$

Answer 1

Answer: (D)

$\frac{1}{2}\left(p_{A}+p_{B}\right)\,\left(V_{B}+V_{A}\right)$

Answer 2

The $p-V$ diagram is shown below