25. 50 g of ice at 0°C is dropped into 100 g of water at 25°C in an insulating cup whose mass is negligible. Only fraction of ice melts. (1 kg = 1000 g) (a) Calculate the heat given off by the water in cooling it from 10°C to 0°C. (4190 J) (b) What fraction of ice (in %) will melt? (63%) (hint: in this type of problem (when it says only fraction of ice melts), the heat given off by hot object is not enough to melt all volume of ice, so the final temperature of ice + water mixture at equilibrium is still 0°C, so just find the ratio of (3 heat available in the system to melt the ice Heat required to melt the given ice

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25. 50 g of ice at 0°C is dropped into 100 g of water at 25°C in an insulating cup whose mass is
negligible. Only fraction of ice melts.
(1 kg = 1000 g)
(a) Calculate the heat given off by the water in cooling it from 10°C to 0ºC. (4190 J)
(b) What fraction of ice (in %) will melt? (63%)
(hint: in this type of problem (when it says only fraction of ice melts), the heat given off by hot
object is not enough to melt all volume of ice, so the final temperature of ice + water mixture at
equilibrium is still 0°C, so just find the ratio of
heat available in the system to melt the ice
Heat required to melt the given ice
Transcribed Image Text:25. 50 g of ice at 0°C is dropped into 100 g of water at 25°C in an insulating cup whose mass is negligible. Only fraction of ice melts. (1 kg = 1000 g) (a) Calculate the heat given off by the water in cooling it from 10°C to 0ºC. (4190 J) (b) What fraction of ice (in %) will melt? (63%) (hint: in this type of problem (when it says only fraction of ice melts), the heat given off by hot object is not enough to melt all volume of ice, so the final temperature of ice + water mixture at equilibrium is still 0°C, so just find the ratio of heat available in the system to melt the ice Heat required to melt the given ice
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