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Thermodynamics Question

Shahroze
in Physics

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A piston can freely move inside a horizontal cylinder. Initially thr piston separates the cylinder in two parts of equal volume V and pressure P and temperature T. What work has to be done to increase the volume n times that of other ISOTHERMALLY?

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Well first i calculated the work done by the gas in left compartment which was nRT ln( 2/(1+n)) and then by 2nd compartment which is nRT ln(2n/(1+n)^2) so total work is the sum of two which is nRT ln(4n/(1+n)^2) but the answer is inverse of it that is nRT ln((1+n)^2/4n) plz help

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