Question:
Which from following process involves zero work done?
Which from following process involves zero work done?
Show Hint
Free Expansion = Expansion in Vacuum $\rightarrow P_{ext} = 0 \rightarrow W = 0$. No resistance, no work!
Updated On: May 14, 2026
- Isobaric expansion of gas.
- Adiabatic compression of gas.
- Isothermal expansion of gas.
- Free expansion of gas.
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The Correct Option is D
Solution and Explanation
Step 1: Concept
Work done by a gas during expansion is given by $W = -P_{ext}\Delta V$.
Step 2: Meaning
"Free expansion" refers to the expansion of a gas into a vacuum.
Step 3: Analysis
In a vacuum, the external pressure ($P_{ext}$) is zero. Since $W = -P_{ext} \times \Delta V$, if $P_{ext} = 0$, then $W = 0 \times \Delta V = 0$. In isobaric, adiabatic, and isothermal processes (unless in a vacuum), $P_{ext}$ is non-zero, resulting in non-zero work.
Step 4: Conclusion
Free expansion always involves zero work done. Final Answer: (D)
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