One mole of an ideal gas is contained in a vertical cylinder under a massless piston moving without friction. The piston is slowly raised so that the gas expands isothermally at T 0 = 300 K. Find th

Question

One mole of an ideal gas is contained in a vertical cylinder under a massless piston moving without friction. The piston is slowly raised so that the gas expands isothermally at T 0 ​ = 300 K. Find the amount of work done in increasing the volume η = 2 times. The outside pressure is atmospheric.

TestHub · Accepted Answer

The massless piston means the gas starts at p 0 ​ . The agent supplies ( p 0 ​ − p ) A , so W a g e n t ​ = p 0 ​ Δ V − W g a s ​ . p 0 ​ Δ V = p 0 ​ V 1 ​ = R T 0 ​ and W g a s ​ = R T 0 ​ ln 2 . W = R T 0 ​ ( 1 − ln 2 ) = 8.314 × 300 × 0.307 = 765 J.

Physics - Heat & Thermo Question with Solution | TestHub

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