Question

Using the given P-V diagram, the work done by an ideal gas along the path ABCD is: \includegraphics[]{43.PNG}

• A. \( 4 P_0 V_0 \)
• B. \( 3 P_0 V_0 \)
• C. \( -4 P_0 V_0 \)
• D. \( -3 P_0 V_0 \)

Hint:

The work done in thermodynamic processes can be calculated by finding the area under the P-V curve or by using the formula \( W = P \Delta V \).

Answer 1

The Correct Option is D

The work done by an ideal gas during a process is the area under the P-V curve. In the case of a process represented by a P-V diagram with a series of straight lines, we can calculate the work done by calculating the area enclosed by the path ABCD. The work done in each segment of the path is calculated using: \[ W = P \Delta V. \] Since the path involves expansion and compression, the total work done is found by adding the work done in each segment, which yields: \[ W = -3 P_0 V_0. \]