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. \( 3P \Delta V \)
• B. \( 3P V \)
• C. \( 9P \Delta V \)
• D. \( 6P \Delta V \)

Hint:

The work done in a thermodynamic cycle is equal to the area enclosed by the cycle on a PV diagram.

Answer 1

The Correct Option is A

Step 1: Work done in a cycle.
For a thermodynamic cycle, the work done is the area enclosed by the cycle on the PV diagram. For the cycle ABCA, the work done is given by: \[ W = P \Delta V \] where \( \Delta V \) is the change in volume.
Thus, the correct answer is (1).