You mix mI = 1.2 kg of ice at TI = -19°C with mW = 3.4 kg of water at TW = 86°C in an insulated container. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34 × 105 J/kg. Enter an expression for the final equilibrium temperature of the mixture in terms of the defined quantities. Solve for Tf

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Chapter10: Thermal Physics
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You mix mI = 1.2 kg of ice at TI = -19°C with mW = 3.4 kg of water at TW = 86°C in an insulated container. The specific heats of ice and water are cI = 2.10×103 J/(kg⋅°C) and cW = 4.19×103 J/(kg⋅°C), respectively, and the latent heat of fusion for water is Lf = 3.34 × 105 J/kg.

Enter an expression for the final equilibrium temperature of the mixture in terms of the defined quantities. Solve for Tf 

Please give all the detailed work 

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