Jun
Ice Buckets
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How much ice was in the bucket before the copper block was added?
A 3 kg block of copper at a temperature of 80 degrees Celsius is dropped into a bucket containing a mixture of ice and water whose total mass is 5 kg. When thermal equilibrium is reached the temperature of the water is 10°C. How much ice was in the bucket before the copper block was placed in it?
specific heat of water is 4.186 kJ/kgC
specific heat of ice is 2.06 kJ/kgC
heat of fusion of ice is 334 kJ/kg
specific heat of Copper is 386 J/kgC
Call amount of ice X
heat loss in cooling the Cu is equal to heat needed to melt ice and warm water from 0 to 10C
0.386 kJ/kgC x 3 kg x (80-10) = 334 kJ/kg x X + 4.186 kJ/kgC x 5 kg x (10-0)
0.386 x 3 x 70 = 334X + 4.186 x 5 x 10
810.6 = 334X + 209.3
334X = 601.3
X = 1.8 kg
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Ice Bucket
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