Conceptual Physics (12th Edition)

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

Chapter 17 - Think and Solve: 39


80 grams of ice.

Work Step by Step

We start by finding the heat released when 10 g of $100^{\circ}C$ steam changes to 10 g of $0^{\circ}C$ water. This is discussed in the Check Point on page 331, items 1 and 2, using 10 grams instead of 1 gram. 10 g of steam condensing to 10 g of boiling water at $100^{\circ}C$ gives up 5400 calories. 10 g of $100^{\circ}C$ water cooling to $0^{\circ}C$ gives up 1000 calories. The total, 6400 calories, is used to melt ice. Since 1 g of $0^{\circ}C$ ice requires 80 calories to melt to 1 g of $0^{\circ}C$ water, we can melt (6400/80) = 80 grams of ice.
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