Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 17 - Work, Heat, and the First Law of Thermodynamics - Exercises and Problems - Page 498: 19


The sphere is made of iron.

Work Step by Step

The heat energy lost by the metal sphere will be equal to the heat energy gained by the mercury. We can find the specific heat $c_s$ of the sphere: $m_s~c_s~\Delta T_s = m_m~c_m~\Delta T_m$ $c_s = \frac{m_m~c_m~\Delta T_m}{m_s~\Delta T_s}$ $c_s = \frac{(4.08~kg)(140~J/kg~C^{\circ})(99.0^{\circ}C-20.0^{\circ}C)}{(0.500~kg)(300^{\circ}C-99.0^{\circ}C)}$ $c_s = 449~J/kg~C^{\circ}$ Since this specific heat is close to the specific heat of iron, we can conclude that the sphere is made of iron.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.