A 15.0-kg block of ice at 0.00 °C falls into Lake Superior, which is a freshwate

Question

A 15.0-kg block of ice at 0.00 °C falls into Lake Superior, which is a freshwater lake. The lake water is at 10.0 °C, and the latent heat of fusion for ice is 3.34 Ý 105 J/kg. Find the various changes in entropy due to the melting of the ice. a. What is the change in entropy, S, of the block of ice? b. What is the change in entropy, S, of the lake? c. What is the change in entropy, S, of the system consisting of the lake and the ice? d. Is your answer to part (c) consistent with the reversibility or irreversibility of the melting process? Explain.

Explanation / Answer

Q = mL = 15*3.34*10^5 = 5.01e+6 J

a) S1 = +Q/T1 = 5.01e+6/273.15 = 18.34*10^3 J/K

b) 21 = -Q/T2 = -(5.013*10^6)/(283.15) = -17.70

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