A gas expands from A (300 kPa, 2 L) to B (100 kPa, 5 L) along three paths: path 1 goes first at constant volume to 100 kPa and then at constant pressure to 5 L; path 3 goes first at constant pressure

Question

A gas expands from A (300 kPa, 2 L) to B (100 kPa, 5 L) along three paths: path 1 goes first at constant volume to 100 kPa and then at constant pressure to 5 L; path 3 goes first at constant pressure to 5 L and then at constant volume to 100 kPa; path 2 is the straight line A B . With W 1 ​ , W 2 ​ , W 3 ​ the work done by the gas (here 300 J, 600 J and 900 J):

TestHub · Accepted Answer

Path 1: W = 100 kPa × 3 L = 300 J. Path 3: 300 kPa × 3 L = 900 J. Path 2: trapezoid, 2 300 + 100 ​ kPa × 3 L = 600 J. So W 1 ​ < W 2 ​ < W 3 ​ . B.

Physics - Heat & Thermo Question with Solution | TestHub

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