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I place an ice cube with a mass of 0.223 kg and a temperature of −35°C...

I place an ice cube with a mass of 0.223 kg and a temperature of −35°C is placed into an insulated aluminum container with a mass of 0.553 kg containing 0.452 kg of water. The water and the container are initially in thermal equilibrium at a temperature of 27°C. Assuming that no heat enters or leaves the system, what will the final temperature of the system be when it reaches equilibrium, and how much ice will be in the container when it reaches equilibrium? The specific heat of water is 4186 J/K, the specific heat of aluminum is 902 J/K, and the specific heat of ice is 2108 J/K, and the latent heat of fusion for ice/water is 3.34×10^5 J/kg.

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