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 m_(l)=
0.302 kg and its initial temperature is T_(1)=7.91\deg C. The second has a mass of m_(2)=0.923kg and an initial temperature of T_(2)=32.5\deg C. Assume that the system is
solated. Let the specific heat of the water at this salinity to be C_(W)=0.99kca(l)/(k)(g)/(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?
\Delta U=â—»
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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 T_(l) to its final temperature T_(f) in kca(l)/(K).
Part (d)
Find the total change in entropy of the system, in kcal / K.