Last night John prepared a bath for his son, but it was too hot. The original vo

Question

Last night John prepared a bath for his son, but it was too hot. The original volume of water 21.0 L had a measured temperature of 47.0 Celsius.

A. Determine the mass of ice at a temperature of -13.0 Celsius Dr. Kit had to add to the bath to bring the equilibrium temperature to 38.0 Celsius. Assume the bath is well insulated and no heat was lost to the surroundings.

B. Determine the total entropy change when the water and ice were mixed and they came to the equilibrium temperature of 38.0 Celsius.

Explanation / Answer

A)Heat gained = Heat lost

Mice Lf + SMice (Tfinal - 0degree C) = SMwater (T initial - Tfinal )

Mice (334000 + 2090 (38 + 13) = 4186 x 0.021 x 1000 (47 - 38)

Mice = 791154/440590 = 1.8 kg

Hence, Mice = 1.8 kg

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