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Statement of a problem № 534

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One mole of an ideal gas with heat capacity Cv goes through a process in which its entropy S depends on T as S = α/T, where α is a constant. The gas temperature varies from T1 to T2. Find: (a) the molar heat capacity of the gas as a function of its temperature; (b) the amount of heat transferred to the gas; (c) the work performed by the gas.

Solution:
One mole of an ideal gas with heat capacity Cv goes through a process in which i

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