Posted: March 24th, 2017

1) An ideal monatomic gas (Cv =3/2 R, Cp=5/2R) is subject to the following steps: (A) The gas is heated reversibly at a constant pressure of 1 atm from 25 C to 100 0C. (In a reversible heating process direct heat flow must occur between vanishingly small temperature differences, just as reversible expansion and compression must involve infinitesimal differences in pressure between the opposing pressure and the pressure of the gas.) (B) The gas is expanded reversibly and isothermally to double its volume. (C) Finally the gas is cooled reversible and adiabatically to 35 C. Calculate ?delta U, ?delta H, q, and w for the whole process (A+B+C). 2) (a) 10 g of ice at –10 0C are dropped into 25 g of water at 15 C, and the system is allowed to reach equilibrium adiabatically. What is the final state of affairs? Cv(water) = 1.0 cal g-1 K-1 , Cv (ice) = 0.5 cal g-1 K-1, and the ?Hfusion=80 cal g-1. (b) Suppose that 10 g of ice at -10 C were dropped into 100 g of water at 15 C and the system is allowed to reach equilibrium adiabatically. What would be the final state of affairs?

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