Physics Technology Update (4th Edition)

Published by Pearson
ISBN 10: 0-32190-308-0
ISBN 13: 978-0-32190-308-2

Chapter 17 - Phases and Phase Changes - Problems and Conceptual Exercises - Page 607: 66

Answer

$2.88\times 10^6J$

Work Step by Step

We can find the required heat as follows: $Q_{ice}=mc\Delta T$ We plug in the known values to obtain: $Q_{ice}=(8.50976Kg)(2093J/kg.C^{\circ})(2C^{\circ})$ $Q_{ice}=35621.85536J$ Heat required to melt the ice without temperature is given as $Q_{ice}^{\prime}=m_{ice}L_f$ $\implies Q_{ice}^{\prime}=(8.50976Kg)(33.5\times 10^4J/Kg.C^{\circ})$ $Q_{ice}^{\prime}=2850769.6J$ Now $Q=Q_{ice}+Q_{ice}^{\prime}$ We plug in the known values to obtain: $Q=35621.85536J+2850769.6J$ $Q=2.88\times 10^6J$
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