A mass m = 125 kg of lava at TH = 1155° C emerges from a volcano deep in the ocean. At this depth, the ocean water is at a temperature of TC = 2.1° C, and the lava cools and solidifies. The specific heat capacity of the lava for this process is c = 840 J/kg⋅°C and the latent heat of fusion of the lava is Lf = 4.0 × 105 J/kg. Assume that the temperature of the ocean does not change in this process. Part (a) The lava cools to 700.0° C before solidifying. What is the change in entropy ΔS1 of the lava in joules per kelvin during this process? Part (b) Calculate the change in entropy of the ocean waters ΔS2 in joules per kelvin during the cooling of the molten lava. Part (c) Calculate the change in entropy of the lava ΔS3 in joules per kelvin when it solidifies. Part (d) Calculate the entropy change of the ocean ΔS4 in joules per kelvin due to the solidification of the lava.
Problem 11: A mass m = 125 kg of lava at TH = 1155° C emerges from a volcano deep in the ocean. At this depth, the ocean water is at a temperature of TC = 2.1° C, and the lava cools and solidifies.
The specific heat capacity of the lava for this process is c = 840 J/kg⋅°C and the latent heat of fusion of the lava is Lf = 4.0 × 105 J/kg.
Assume that the temperature of the ocean does not change in this process.
Part (a) The lava cools to 700.0° C before solidifying. What is the change in entropy ΔS1 of the lava in joules per kelvin during this process?
Part (b) Calculate the change in entropy of the ocean waters ΔS2 in joules per kelvin during the cooling of the molten lava.
Part (c) Calculate the change in entropy of the lava ΔS3 in joules per kelvin when it solidifies.
Part (d) Calculate the entropy change of the ocean ΔS4 in joules per kelvin due to the solidification of the lava.
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