An insulated piston–cylinder assembly contains two compartments divided by a partition. As shown in Figure E6.9A, the top compartment initially contains 2 moles of pure liquid 1, whereas the bottom contains a mixture of 4 moles of liquid 2 and 4 moles of liquid 3. The temperature is initially 4°C, and the pressure is 1 bar. The piston–cylinder assembly is well insulated. If the partition is removed and the species are allowed to mix and come to equilibrium, determine the fi nal temperature.

The following data are available. The heat capacity of each of the three species is:

The enthalpy of mixing for a ternary mixture of 1, 2, and 3 is given by:

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J J 55 [mol-K] G4 = 25 [mol-x] a = 20.0 [mol K] Cp.1 = 27.5