Question

Which of the following graphs between pressure 'p' versus volume 'V' represents the maximum work done?

• A.
• B.
• C.
• D.

Hint:

\(W = \int P dV\). Max area \(\rightarrow\) Max work.

Answer 1

The Correct Option is D

Step 1: Concept:
Work done is the area under the P-V curve for a process. For a cycle, it is the enclosed area. For an open process (expansion), it is the area between the curve and the Volume axis. Step 2: Analysis:
Graph 4 shows an expansion from \(V\) to \(2V\) with pressure dropping. The area under this curve includes the entire rectangular region below it down to the axis. Graphs 2 and 3 are cycles enclosing smaller areas. Graph 1 has zero area. Visually, the area under the curve in Graph 4 is the largest. Step 4: Final Answer:
Graph 4.