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A glass tumbler of 200 g mass and 5 cm inside diameter is filled to a depth of 10 cm with tap water whose temperature is 10 degrees C, and at 50 g of ice 0 degrees C are then added

A glass tumbler of 200 g mass and 5 cm inside diameter is filled to a depth of 10 cm with tap water whose temperature is 10 degrees C, and at 50 g of ice 0 degrees C are then added. At the end of an hour, it is noticed that the ice has just finished melting. What was the average rate, in calories per second, at which heat flowed into the glass from its surroundings?
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Answer #1

Mass of water=πr2hρ=196.35g

Total heat provided by water to ice=mCpΔT=8219J

Total heat needed to melt ice=mL=16700J

Extra heat required=8481J=2026Cal

Heat flow rate=2026/3600Cal/s=0.5628Cal/s

source: chegg
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