Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition

14-1: Heat as Energy Transfer
14-3 and 14-4: Specific Heat; Calorimetry
14-5: Latent Heat
14-6 to 14-8: Conduction, Convection, Radiation

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 10

What is the specific heat of a metal substance if 135 kJ of heat is needed to raise 4.1 kg of the metal from 18.0C18.0 ^\circ \textrm{C} to 37.2C37.2 ^\circ \textrm{C}?

1.7×103 J/kg C1.7 \times 10^3 \textrm{ J/kg C}^\circ
Giancoli 7th Edition, Chapter 14, Problem 10 solution video poster

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This is Giancoli Answers with Mr. Dychko. We can solve this formula for heat gain by a substance for c the specific heat capacity by dividing both sides by mass times change in temperature. So, c is Q over m ΔT, and it absorbs 135 times 10 to the 3 joules divided by 4.1 kilograms times 37.2 degrees Celsius, final temperature, minus 18 degrees Celsius, initial temperature. And we get about 1.7 times 10 to the 3 joules per kilogram Celsius degree is the specific heat capacity of this metal.

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