Question

An ideal gas is taken around ABCA as shown in the above P-V diagram. The work done during a cycle is.

• A. $2pV$
• B. $pV$
• C. $\frac{1}{2}pV$
• D. zero

Answer 1

The correct option is A $2pV$

The work done during a cycle is equal to the area under a $P-V$ diagram.

From the given $P-V$ diagram.

$W=\frac{1}{2}\times AC\times BC$

$W=\frac{1}{2}\times (3V-V)\times (3p-p)$

$W=\frac{1}{2}\times 2V\times 2p$

$W=2pV$

The correct option is A.