(14%) Problem 7: A mass m = 250 kg of lava at TH=945° C emerges from a volcano deep in the ocean. At this depth, the ocean water is at a temperature of Tc = 2.5° 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 L = 4.0 × 105 J/kg. Assume that the temperature of the ocean does not change in this process. A 20% Part (a) The lava cools to 700.0° C before solidifying. What is the change in entropy AS, of the lava in joules per kelvin during this process? A 20% Part (b) Calculate the change in entropy of the ocean waters AS2 in joules per kelvin during the cooling of the molten lava. A 20% Part (c) Calculate the change in entropy of the lava AS3 in joules per kelvin when it solidifies. A 20% Part (d) Calculate the entropy change of the ocean AS4 in joules per kelvin due to the solidification of the lava. 20% Part (e) Does this process obey the second law of thermodynamics? No, because the total entropy change was greater than zero: (-AS₁ + AS2 - AS3 + AS4) > 0 No, because the total entropy change of the lava was less than zero: (AS₁ + AS3) <0 Yes, because the total entropy change was greater than zero: (AS₁ + AS2 + AS3 + AS4) ≥ 0 Yes, because the total entropy change of the ocean was greater than zero: (AS2 + AS4) > 0 No, because the total entropy change was greater than zero: (AS₁ + AS2 + AS3 + AS4) > 0 Yes, because following entropy change was greater than zero: (-AS₁ + AS2 - AS3 + AS4) > 0 Grade Summary Deductions Potential 0% 100% Submissions Attempts remaining: 5 (20% per attempt) detailed view