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Question: Answered & Verified by Expert
A given mass of gas expands from state A to state B by three paths \( 1,2 \) and \( 3 \) as shown in the figure

If \( \mathrm{w}_{1}, \mathrm{w}_{2} \) and \( \mathrm{w}_{3} \) respectively are be the works done by the gas along three paths, then
ChemistryThermodynamics (C)JEE Main
Options:
  • A \( \mathrm{w}_{1}>\mathrm{w}_{2}>\mathrm{w}_{3} \)
  • B \( \mathrm{w}_{1} < \mathrm{w}_{2} < \mathrm{w}_{3} \)
  • C \( \mathrm{w}_{1}=\mathrm{w}_{2}=\mathrm{w}_{3} \)
  • D \( \mathrm{w}_{1} < \mathrm{w}_{2} ; \mathrm{w}_{1}>\mathrm{w}_{3} \)
Solution:
2795 Upvotes Verified Answer
The correct answer is: \( \mathrm{w}_{1} < \mathrm{w}_{2} < \mathrm{w}_{3} \)
Work is equal to area under P-V graph (when P is plotted along y-axis). As area under graph 3 is maximum and area under graph 1 is minimum, so w3 is maximum and w1 is minimum.
So w1<w2<w3

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