College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 14 - Problems - Page 535: 42

Answer

46.25 grams of aluminum must be dropped in the hole.

Work Step by Step

The heat required to make the ice melt is equal in magnitude to the loss of heat from the aluminum as it cools: $m_a~c_a~\Delta T = m_i~L$ $m_a = \frac{m_i~L}{c_a~\Delta T}$ $m_a = \frac{(0.010~kg)(333\times 10^3~J/kg)}{(900~J/kg~C^{\circ})(80.0~C^{\circ})}$ $m_a = 0.04625~kg$ $m_a = 46.25~grams$ 46.25 grams of aluminum must be dropped in the hole.
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