Explanation Given info: The mass of ceramic coffee cup is 116 g , specific heat capacity is 1090 J / ( kg ⋅ K ) , initial room temperature of the room is 24.0 ° C , mass of coffee is 225 g , temperature of coffee is 80.3 ° C , mass of cream is 5.00 ° C . Explanation: The formula to calculate the heat gained by the mug-cream system is, Q m-cr = m m C m ( T − T m ) + m cr C cr ( T − T cr ) Here, m m is the mass of the mug. C m is the specific heat capacity of mug. T is the equilibrium temperature of the system. T cr is the temperature of cream. T m is the temperature of mug. C cr is the specific heat capacity of cream. The formula to calculate the heat lost by the coffee is, Q c = m c C c ( T − T c ) Here, m c is the mass of coffee. C c is the specific heat capacity of coffee. T is the equilibrium temperature of the system. T c is the temperature of coffee. The formula to calculate the equilibrium temperature of the system is, Q m-cr = Q c Here, Q m-cr is the heat gained by the mug-cream system. Q c is the heat lost by the coffee. Substitute m m C m ( T − T m ) + m cr C cr ( T − T cr ) for Q m-cr and m c C c ( T − T c ) for Q c in the above formula to find T . m m C m ( T − T m ) + m cr C cr ( T − T cr ) = m c C c ( T − T c ) Rearrange the above formula to find T . m m C m ( T − T m ) + m cr C cr ( T − T cr ) = m c C c ( T − T c ) T = m m C m T m + m cr C cr T cr + m c C c T c m m C m + m cr C cr Substitute 116 g for m m , 225 g for m c , 12

Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

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ISBN: 9780134032610

Author: James S. Walker

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Chapter 16, Problem 47PCE

To determine

The equilibrium temperature of the system.

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Chapter 16, Problem 46PCE

Chapter 16, Problem 48PCE

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Physics, Books a la Carte Plus Mastering Physics with Pearson eText -- Access Card Package (5th Edition)

Ch. 16.1 - Prob. 1EYU Ch. 16.2 - Is the size of a degree in the Fahrenheit scale...Ch. 16.3 - The following systems consist of a metal rod with...Ch. 16.4 - Prob. 4EYU Ch. 16.5 - Prob. 5EYU Ch. 16.6 - The following systems consist of a cylindrical...Ch. 16 - Prob. 1CQ Ch. 16 - Prob. 2CQ Ch. 16 - Prob. 3CQ Ch. 16 - If the glass in a glass thermometer had the same...

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Solution Summary: The author explains the formula to calculate the heat gained by the mug-cream system.

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