A mass m_i, of ice at temperature T_i = 0degree C is immersed in a glass contain

Question

A mass m_i, of ice at temperature T_i = 0degree C is immersed in a glass containing a mass m_w of water at temperature T_w > T_i. Assuming that the system is insulated and that all the ice melts: Find the equilibrium temperature of the ice-water system. Find the change in entropy of the water. Find the change in entropy of the ice. Find the change in entropy of the universe. How much heat Q is transferred from the water to the ice? Assume that the Latent heat of fusion of water is L, the specific heat of water is C_w and the specific heat of ice is C_i.

Explanation / Answer

a) Equilibrium temperature = Ti = Tw = 0 C

b) Change in entropy of water = mw*cw*ln(Tw/Ti)

c) Change in entropy of ice = miL/Ti

d) Change in entropy of universe = mw*cw*ln(Tw/Ti) + miL/Ti

e) Heat transferred = Q = mw*cw*(Tw - Ti)

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