Question

A sample of ideal monoatomic gas is taken round the cycle ABCA as shown in the figure. The work done during the cycle is:

• A. $3PV$
• B. Zero
• C. $9PV$
• D. $6PV$

Answer 1

Answer: (A)

$3PV$

The work done in cyclic process is equal to the area enclosed on the P-V graph.

From the graph, $AC=3V-V=2V$

$BC=4P-P=3P$

Work done $W=\frac{1}{2}\left(AC\right)\times \left(BC\right)$

$\therefore$ $W=\frac{1}{2}\times 2V\times 3P=3PV$