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0.7 kg of ice at 0 â—¦C and 3 kg of water at Ti are...

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Physics

0.7 kg of ice at 0 â—¦C and 3 kg of water at Ti are brought intothermal contact in an iso- lated container. All the ice melts, andthe mixture reaches an equilibrium temperature of 10 â—¦C.

(a) (5 points) Determine the initial temperature Ti of theliquid water.

(b) (1 point) Determine the entropy change ∆S_melt associatedwith this amount of ice melting.

(c) (3 points) Determine the entropy change ∆S_coolwaterassociated with the decreasing temperature of the water. (Hint:find an expression for dQ in terms of dT.)

(d) (2 points) Determine the entropy change ∆S_warmwaterassociated with the increasing temperature of the melted ice.

(e) (2 points) Determine the net entropy change associated withthis thermal process. Explain whether your result obeys the SecondLaw of Thermodynamics.

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