General Chemistry (4th Edition)

Published by University Science Books
ISBN 10: 1891389602
ISBN 13: 978-1-89138-960-3

Chapter 15 Liquids and Solids - Problems - Page 562: 4

Answer

Freon-12: $ 1180 \ g$ Tetrafluoroethane: $ 848 \ g$

Work Step by Step

1. Calculate the heat necessary to reduce the temperature to 0. $$16 oz \times \frac{28 \ g}{1 \ oz} \times \frac{1 \ mol}{18.0 \ g}= 24.9 \ mol$$ q = ( 24.9 mol )( 75.3 J/(mol K))( 18 K ) q = $ 3.37 \times 10^{4} $ J 2. Now, find the energy to freeze the water. $q = n \Delta H_{fus} = 24.9 \ mol \times 6010 \ J/mol = 1.496 \times 10^5 \ J$ Total energy required: $3.37 \times 10^4 + 1.496 \times 10^5 = 1.83 \times 10^5 \ J$ 3. Find the amount of mass required of each compound: Freon-12: $$\frac{1.83 \times 10^5 \ J}{155 \ J/g} = 1180 \ g$$ Tetrafluoroethane $$\frac{1.83 \times 10^5 \ J}{215.9 \ J/g} = 848 \ g$$
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