Two moles of an ideal gas are in a vertical cylinder under a massless frictionless piston, with the outside at atmospheric pressure. The piston is slowly raised so the gas expands isothermally at 350

Question

Two moles of an ideal gas are in a vertical cylinder under a massless frictionless piston, with the outside at atmospheric pressure. The piston is slowly raised so the gas expands isothermally at 350 K to three times its volume. Find the work done by the external agent, in joules (nearest integer).

TestHub · Accepted Answer

W a g e n t ​ = p 0 ​ Δ V − W g a s ​ . The gas starts at p 0 ​ , so p 0 ​ Δ V = p 0 ​ × 2 V 1 ​ = 2 n RT , and W g a s ​ = n RT ln 3 . W = n RT ( 2 − ln 3 ) = 2 × 8.314 × 350 × 0.9014 = 5246 J.

Physics - Heat & Thermo Question with Solution | TestHub

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