Problem 17:  Two amounts of salt water at different temperatures are brought into thermal contact with each other and mixed thoroughly. The first amount of water has mass m1 = 0.302 kg and its initial temperature is T1 = 7.31 °C. The second has a mass of m2 = 0.823 kg and an initial temperature of T2 = 30.5 °C. Assume that the system is isolated. Let the specific heat of the water at this salinity to be CW = 0.83 kcal / kg / K. Part (a)  After both amounts of water are mixed and reach thermal equilibrium, what is the total change in the amount of internal energy, in joules, of the system? Part (b)  Find an expression for the final temperature of the water after thermal equilibrium has been reached. Part (c)  Find the change in entropy of the first amount of water alone as it moves from its initial temperature T1 to its final temperature Tf in kcal/K. Part (d)  Find the total change in entropy of the system, in kcal / K

Physics for Scientists and Engineers: Foundations and Connections
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ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter21: Heat And The First Law Of Thermodynamics
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Problem 17:  Two amounts of salt water at different temperatures are brought into thermal contact with each other and mixed thoroughly. The first amount of water has mass m1 = 0.302 kg and its initial temperature is T1 = 7.31 °C. The second has a mass of m2 = 0.823 kg and an initial temperature of T2 = 30.5 °C. Assume that the system is isolated. Let the specific heat of the water at this salinity to be CW = 0.83 kcal / kg / K.

Part (a)  After both amounts of water are mixed and reach thermal equilibrium, what is the total change in the amount of internal energy, in joules, of the system?

Part (b)  Find an expression for the final temperature of the water after thermal equilibrium has been reached.
Part (c)  Find the change in entropy of the first amount of water alone as it moves from its initial temperature T1 to its final temperature Tf in kcal/K.

Part (d)  Find the total change in entropy of the system, in kcal / K.
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