Your 200-g cup of tea is boiling-hot. About how much ice

Chapter 1, Problem 47P

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QUESTION:

Problem 47P

Your 200-g cup of tea is boiling-hot. About how much ice should you add to bring it down to a comfortable sipping temperature of 65°C? (Assume that the ice is initially at −15°C. The specific heat capacity of ice is 0.5 cal/g∙°C.)

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QUESTION:

Problem 47P

Your 200-g cup of tea is boiling-hot. About how much ice should you add to bring it down to a comfortable sipping temperature of 65°C? (Assume that the ice is initially at −15°C. The specific heat capacity of ice is 0.5 cal/g∙°C.)

ANSWER:

Solution

Step 1

The equation for latent heat is L=Q/m

Now we need to find the heat lost by the water

 

There is no heat lost

The ice cube gains heat lost by the water 7000 calories.

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