Conceptual Physics (12th Edition)

Published by Addison-Wesley
ISBN 10: 0321909100
ISBN 13: 978-0-32190-910-7

Chapter 17 - Think and Solve: 40

Answer

The final temperature of the water will be the same as that of the very large block of ice, $0^{\circ}C$.

Work Step by Step

We start by finding the heat released when 50 g of $80^{\circ}C$ water cools to 50 g of $0^{\circ}C$ water. This is discussed in the Check Point on page 331, item 2, using 50 grams instead of 1 gram. 50 g of $80^{\circ}C$ water cooling to $0^{\circ}C$ gives up 4000 calories. The 4000 calories, is used to melt ice. We know that 1 g of $0^{\circ}C$ ice requires 80 calories to melt to 1 g of $0^{\circ}C$ water, so we can melt (4000/80) = 50 grams of ice, the same mass of $80^{\circ}C$ water that we started with.
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