Explanation Given data: Consider the steel as warmer body and water as cooler body. The warmer body (steel) loses its heat and the cooler body (water) gains the heat from warmer body. Weight of the warmer body ( w l ) is 42.0 lb. Weight of the cooler body ( w g ) is 100 lb. Initial temperature of the warmer body ( T l ) is 670 ° F . Initial temperature of the cooler body ( T g ) is 75.0 ° F . Formula used: Write the expression for equilibrium condition for a method of mixtures as follows. Q lost = Q gained (1) Here, Q lost is the heat lost by the warmer body, and Q gained is the heat gained by the cooler body. Write the expression for heat lost by the warmer body as follows. Q lost = c l w l ( T l − T f ) (2) Here, c l is the specific heat of the warmer body, w l is the weight of the warmer body, T l is the initial temperature of the warmer body, and T f is the final temperature of the mixture. Write the expression for heat gained by the cooler body as follows. Q gained = c g w g ( T f − T g ) (3) Here, c g is the specific heat of the cooler body, w g is the weight of the cooler body, and T g is the initial temperature of the cooler body. Calculation of final temperature of the mixture ( T f ) : From equation (2), and (3), substitute [ c l w l ( T l − T f ) ] for Q lost , and [ c g w g ( T f − T g ) ] for Q gained in equation (1). c l w l ( T l − T f ) = c g w g ( T f − T g ) Rearrange the expression for final temperature of the mixture as follows. c l w l ( T l − T f ) = c g w g ( T f − T g ) c l w l T l − c l w l T f = c g w g T f − c g w g T g c g w g T f + c l w l T f = c l w l T l + c g w g T g T f ( c g w g + c l w l ) = c g w g T g + c l w l T l Rewrite the expression as follows

11th Edition

ISBN: 9780134159386

Author: Dale Ewen, Neill Schurter, Erik Gundersen

Publisher: PEARSON

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Calorimetry

Measuring the heat transferred during chemical reactions or other physical processes is known as calorimetry. It comes under the branch of thermochemistry.

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Chapter 14.5, Problem 6P

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Calculate the final temperature of the mixture.

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Chapter 14.5, Problem 5P

Chapter 14.5, Problem 7P

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Chapter 14 Solutions

Applied Physics (11th Edition)

Ch. 14.1 - Find each temperature as indicated. 1. TF=77F,...Ch. 14.1 - Find each temperature as indicated. 2. TF=113F,...Ch. 14.1 - Find each temperature as indicated. 3. TF=257F,...Ch. 14.1 - Find each temperature as indicated. 4. TC=15C,...Ch. 14.1 - Find each temperature as indicated. 5. TC=145C,...Ch. 14.1 - Find each temperature as indicated. 6. TC=35C,...Ch. 14.1 - Prob. 7P Ch. 14.1 - Prob. 8P Ch. 14.1 - Find each temperature as indicated. 9. TC=95C,...Ch. 14.1 - Prob. 10P

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