This problem examines the effects of mixing water at two different temperatures and/or two different phases, such as dropping ice cubes into warm water. Assume that heat of fusion is 333.55 J/g, that CP for ice is constant at 2.11 J/(g·K), and CP for liquid water is constant at 4.19 J/(g·K). You can assume CP approximately equals CV for solids and liquids. For each of the following cases, assume the mixing is adiabatic and carried out at atmospheric pressure. Find the change in entropy of the universe (total entropy change) resulting from each of these processes.
a. 100 g of liquid water at 50°C is mixed with 50 g of liquid water at 0°C.
b. 100 g of liquid water at 50°C is mixed with 50 g of ice at 0°C.
c. 50 g of liquid water at 0°C is mixed with 50 g of ice at 0°C.
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