Halliday, Resnick & Walker — Temperature, Heat, and the First Law of Thermodynamics: Problem 44

44 A 0.485 kg sample of liquid water and a sample of ice are placed in a thermally insulated container. The container also contains a device that transfers energy as heat from the liquid water to the ice at a constant rate \(P\), until thermal equilibrium is reached. The temperatures \(T\) of the liquid water and the ice are given in Fig. 18-39 as functions of time \(t\); the horizontal scale is set by \(t_s = 80.0 \text{ min}\). (a) What is rate \(P\)? (b) What is the initial mass of the ice in the container? (c) When thermal equilibrium is reached, what is the mass of the ice produced in this process?