100 moles of water at 70 degrees celsius is brought into thermal contact with 10

Question

100 moles of water at 70 degrees celsius is brought into thermal contact with 100 moles of a monatomic gas at 20 degrees celsius, and the two substances exchange heat until they reach the same temperature. Assuming that no heat is lost to the surroundings, there is no volume change, and that the heat capacity of liquid water is Cv=Cp=75.2 J/mole-K. What is the equilibrium temperature of the water/gas system? How much heat is exchanged between the gas and the water? What is the change in the total internal energy of the water/gas system? What is the change in the total enthalpy of the water/gas system?

Explanation / Answer

First, water goes through thermal expansion when it is heated and thus since it has the same mass but requires a larger volume it's density goes down slightly. Next, if water was 1mg/mL that would make a liter of water 1 gram... about the same mass/weight of a packet of sugar. Finally, water is water no matter what state it is in so it could be a trick question ;-p But I'd go with the liquid state density... I would go with the guy with the reference since I'm not going to look up the exact number myself ;-p

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