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Statement of a problem № 527

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One mole of an ideal gas goes through a process in which the entropy of the gas changes with temperature T as S = aT + Cv ln T, where a is a positive constant, Cv is the molar heat capacity of this gas at constant volume. Find the volume dependence of the gas temperature in this process if T = T0 at V = V0.

Solution:
One mole of an ideal gas goes through a process in which the entropy of the gas

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