A thermos contains m1 = 0.96 kg of tea at T1 = 32° C. Ice (m2 = 0.095 kg, T2 = 0° C) is added to it. The heat capacity of both water and tea is c = 4186 J/(kg⋅K), and the latent heat of fusion for water is Lf = 33.5 × 104 J/kg.  Part (a)  Input an expression for the final temperature after the ice has melted and the system has reached thermal equilibrium.   Part (b)  What is the final temperature in Kelvin?

Physics for Scientists and Engineers: Foundations and Connections
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Author:Katz, Debora M.
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Chapter21: Heat And The First Law Of Thermodynamics
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A thermos contains m1 = 0.96 kg of tea at T1 = 32° C. Ice (m2 = 0.095 kg, T2 = 0° C) is added to it. The heat capacity of both water and tea is c = 4186 J/(kg⋅K), and the latent heat of fusion for water is Lf = 33.5 × 104 J/kg. 

Part (a)  Input an expression for the final temperature after the ice has melted and the system has reached thermal equilibrium. 

 Part (b)  What is the final temperature in Kelvin? 

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