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Question:

A block of ice at -10c is placed in a 28 kg hot aluminum bowel at a temperature of 300 c.?

If the system is completely insulated from its surroundings and the final temperature of the bowl is 31.1 C, what was the mass of the block of ice? I get 19.6Kg which rounds to answer ABut the professor has the answer At 14KgWhat am I doing wrong?

Answer:

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working in g, J, ?C without your work, have no idea where you went wrong Energy to warm the ice from –10 to 0, E1 2.06 J/gC x M x 10 20.6M Energy to melt the ice, E2 334 J/g x M 334 M Energy to warm the water from 0 to 31.1 E3 4.186 J/gC x M x 31.1 130.18M Energy to cool the aluminum from 300 to 31.1 E4 0.921 J/gC x 28000 x (300–31.1) 6934393 J E4 E1 + E2 + E3 M(20.6+334+ 130.18) 6934393 M 6934393 / 484.78 14300 g 14.3 kg specific heat Aluminum is 921 J/kgC specific heat of water is 4.186 kJ/kgC 4.186 J/gC specific heat of ice is 2.06 kJ/kgC 2.06 J/gC specific heat of steam is 2.1 kJ/kgK 2.1 J/gK heat of fusion of ice is 334 kJ/kg 334 J/g heat of vaporization of water is 2256 kJ/kg 2256 J/g

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