Question

A thermodynamic system is taken through the cycle abcda. The work done by the gas along the path bc is :

• A. Zero
• B. 30 J
• C. –90 J
• D. –60 J

Answer 1

The Correct Option is A

Concept Clarification

The work performed by a gas during a thermodynamic process is quantified by the integral of pressure relative to volume:

\[ W = \int P \, dV \]

On a P-V graph, this work is depicted as the area encompassed beneath the process curve.

Analysis of Path bc

Path bc on the P-V diagram is depicted as a vertical line, signifying that volume remains invariant throughout this process. This type of process is termed isochoric or isovolumetric.

As volume does not change (dV = 0), the work performed along this path is:

\[ W = \int P \, dV = 0 \]

Consequently, the work executed by the gas along path bc is zero.