Answer
Yes
Work Step by Step
Yes, they are consistent with the second law of thermodynamics. The change in entropy of the water-ice system is zero even though part of the cycle is irreversible throughout the whole cycle. Even, the system is not closed. To consider a closed system, we must include whatever exchanges energy with the ice and water. Suppose it is a constant temperature heat reservoir during the freezing portion of the cycle and a Bunsen burner during the melting portion. During freezing the entropy of the reservoir increases by 943 J/K. As far as the reservoir-water-ice system is concerned, the process is adiabatic and reversible, so its total entropy does not change. The melting process is irreversible, so the total entropy of the burner-water-ice system increases. The entropy of the burner either increases or else decreases by less than 943 J/K.
