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Your 300 mL cup of coffee is too hot to drink when served at 90°C. An...

Your 300 mL cup of coffee is too hot to drink when served at 90°C. An ice cube, taken from a −20°C freezer is used to cool your coffee to a pleasant 60°C. Assume that you have a well-insulated cup.

a. Provide the statement of energy conservation for this closed “coffee-ice” system.

b. What is the heat lost by coffee in bringing down the temperature to 60°C?

c. How much heat is consumed in converting ice to water at 0°C? (Write your answer in terms of the mass of the ice cube)

d. How much heat is used up in raising the temperature of this water to 60°C? (Write your answer in terms of the mass of the ice cube.)

e. What is the mass of the ice cube?

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