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A 2kg block of ice initially at T = -20?C is put in contact with a very large amount of liquid water at T = 0?C (by "very large amount" we imply that by the time ice and water reach thermal equilibrium, there will still be some liquid water left). Ice and water can exchange heat just with each other but not with the environment. The specific heat of water is 4186 J and of ice is 2050 J . kg·K kg·K

(a) What is the final equilibrium temperature of the system?

(b) Draw a complete energy system diagram for the process, clearly showing all the indicators for initial and final state.

(c) Find the amount of heat absorbed by the ice in the process.

(d) Find the final mass of ice in the system at equilibrium.

(e) Find the the change in entropy of the 2kg-block of ice.

(f) Find the the change in entropy of the very large amount of water.

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