Question

A sample of ideal monoatomic gas is taken around 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

The correct option is A $3pV$

Work done in a process is equal to $\int pdV=$ the area under the p-V curve.

Thus for the cyclic process shown, the area of the triangle enclosed is the work done in one complete cycle.

Thus $W=\frac{1}{2}\times 2V\times 3p=3pV$