(a) You have a styrofoam container with 933 g of milk (specific heat of 3,930 J/(kg · °C)) at 39.0° and you add an 86 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C). 0 X Since the mixture is thermally isolated, the heat gained by the ice and the associated ice water is equal to the heat lost by the liquid. Write expressions for the heat gained by the ice as it changes from a solid to a liquid, gained by the ice water as it warms to the final temperature, and lost by the liquid as it cools to the final temperature. °C (b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C? g

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Chapter1: Units, Trigonometry. And Vectors
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(a) You have a styrofoam container with 933 g of milk (specific heat of 3,930 J/(kg• °C)) at 39.0° and you add an 86 g
chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature
of the mixture (in °C).
0
X
Since the mixture is thermally isolated, the heat gained by the ice and the associated ice water is equal to the heat
lost by the liquid. Write expressions for the heat gained by the ice as it changes from a solid to a liquid, gained by the
ice water as it warms to the final temperature, and lost by the liquid as it cools to the final temperature. °C
(b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C?
g
Transcribed Image Text:(a) You have a styrofoam container with 933 g of milk (specific heat of 3,930 J/(kg• °C)) at 39.0° and you add an 86 g chunk of ice at 0°C. Assume the liquid and water mix uniformly as the ice melts and determine the final temperature of the mixture (in °C). 0 X Since the mixture is thermally isolated, the heat gained by the ice and the associated ice water is equal to the heat lost by the liquid. Write expressions for the heat gained by the ice as it changes from a solid to a liquid, gained by the ice water as it warms to the final temperature, and lost by the liquid as it cools to the final temperature. °C (b) What If? What is the minimum mass of the ice cube (in g) that will result in a final mixture at exactly 0°C? g
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