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A sample of an ideal gas in a cylinder of volume 2.82 L at 298 K and 2.63 atm expands to 8.40 L by two different pathways. Pa
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Answer #1

Path A:

Work done in isothermal process = nRT* ln(Vi / Vf), where n is number of moles, Vi is initail volume and Vf is final volume

From ideal gas equation: pV = nRT. Using this we get: w = PV * ln(Vi / Vf)

Using the given values: 2.63 * 2.82 * ln(2.82 / 8.40) = -8.095 lit-atm = -8.095 * 101.325 = -820.23 J

Path B:

Work done = -P * Change in Volume = -1.40 * (8.40 - 2.82) = -7.812 lit-atm = -791.55 J

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