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3. a) Calculate an expression for entropy of mixing of two ideal gases having n1 and n2 moles respectively at constant temperature T and pressure p. Does it hold for liquids also? Justify. (5) b) State Kelvin-Planck and Clausius statements of the second law of thermodynamics. Establish the equivalence of these two statements. (5) c) Derive the Ehrenfest’s equation for a second order phase transition. How second order phase transition is different from lambda transition? Plot Cp versus T for second order and lambda transitions.
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