How can I solve Latent Heat Problems with detailed explanations?

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The discussion revolves around solving two latent heat problems involving thermodynamics. The first problem requires calculating the mass of an ice cube that, when placed in a calorimeter with water, reaches a final temperature of 17°C. The second problem involves determining the energy expended by a cyclist who consumes 8.0L of water over four hours, with the assumption that this energy is primarily used for evaporating sweat. Detailed explanations and calculations for both scenarios are requested to aid understanding. The thread emphasizes the need for clear, step-by-step guidance in solving these latent heat problems.
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Latent Heat Problems ! Help

I have 2 questions that I need help on. All help will be very appreciated.

1. A cube of ice is taken from the freezer at -8.5 C and placed in a 95grams aluminum calorimeter filled with 310g of water at toom temperature of 20 C. The final situation is observed to be all water at 17 C. What was the mass of the ice cube?



2. In a hot day's race a bicyclst consumes 8.0L of water over the span of four hourse. Making the approximation that all of the cyclist's energy goes into evaporating this water as sweat, how much energy in kcal did the rider use during the ride? (Since the efficiency of the rider is only about 20%, most of the energy consumed does go to heat so our apporximation is not far off.)


The help is greatly appreciated thanks. If it is at all possible to give a lot of detail that would be awesome.
 
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