Explanation Given Info : Mass of ice cube is 50 g, initial temperature of ice cube is 0 ° C , mass of water is 45 g and initial temperature of water is 0 ° C , and final temperature of water is 100 ° C . Energy supplied must melt the ice to cold water at 0 ° C , then it has to raise the temperature of water to 100 ° C , then transform the water to steam at 100 ° C . Formula to calculate the heat required to melt the ice to cold water is, Q melt = m ice L f (1) Q melt is the energy required to melt the ice to cold water, m ice is the mass of the ice, L f is the latent heat of fusion of ice, Formula to calculate the heat required to raise the temperature of cold water to hot water at 100 ° C is, Q boil = m water c water ( T f − T i , water ) (2) Q boil is the heat required to raise the temperature of cold water to hot water. c water is the specific heat of water, T i , water is the initial temperature of cold water from ice, T f is the boiling temperature of water, Formula to calculate the heat required to transform 5 g of water to steam at 100 ° C is, Q steam = m steam L v (3) Q steam is the energy required to transform 5 g water to steam, m steam is the mass of the steam, L v is the latent heat of vaporization, Formula to calculate the energy required to accomplish the transformation is, Q tran = Q melt + Q boil + Q steam (4) Substitute equation (1), (2), (3) in equation (4) to calculate Q tran . Q tran = m ice L f + m steam L v + m water c water ( T f − T i , water ) Substitute 50 g for m ice , 3

11th Edition

ISBN: 9781337685467

Author: SERWAY

Publisher: CENGAGE L

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Question

Chapter 11, Problem 30P

To determine

The energy required to accomplish the transformation.

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Chapter 11 Solutions

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The energy required to accomplish the transformation.

Solution Summary: The author explains the energy required to accomplish the transformation. The energy supplied must melt the ice to cold water, then raise the temperature of water to steam at 100°C.

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The energy required to accomplish the transformation.

Chapter 11 Solutions