InterviewSolution
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InterviewSolution
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One mole of an ideal gas with heat capacity `C_V` goes through a process in which its entropy `S` depends on `T` as `S = alpha//T`, where `alpha` is a constant. The gas temperature varies from `T_1` to `T_2` Find : (a) the molar heat capacity of the gas as function of its temperature , (b) the amount of heat transferred to the gas , ( c) the work performed by the gas. |
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Answer» (a) `C = T (dS)/(dT) = - (alpha)/(T)` (b) `Q = int_(T_1)^(T_2) CdT = alpha 1n (T_1)/(T_2)` ( c) `W = Delta Q - Delta U = alpha 1n (T_1)/(T_2) + C_V (T_1 - T_2)` Since for an ideal gas `C_V` is constant and `Delta U = C_v(T_2 - T_1)` (`U` does not depend on `V`). |
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