General, Organic, and Biological Chemistry: Structures of Life (5th Edition)

Published by Pearson
ISBN 10: 0321967461
ISBN 13: 978-0-32196-746-6

Chapter 8 - Gases - 8.3 Temperature and Volume (Charles's Law) - Questions and Problems - Page 299: 8.26

Answer

a. $-171 ^{\circ}C$ b. $-191 ^{\circ}C$ c. $410 ^{\circ}C$ d. $-270 ^{\circ}C$

Work Step by Step

$$\frac{T_1}{V_1} = \frac{T_2}{V_2} \longrightarrow \frac{T_1}{V_1}V_2 = T_2$$ $$T_2 = V_2\frac{T_1}{V_1}$$ $T_1/K = 0 + 273 = 273$ a. $$T_2 = (1.50 \space L)\frac{273 \space K}{4.00 \space L} = 102 \space K$$ $T_2/^{\circ}C = 102 - 273 = -171$ $T_2 = -171 ^{\circ} C$ b. $$T_2 = (1.2 \space L)\frac{273 \space K}{4.00 \space L} = 82 \space K$$ $T_2/^{\circ}C = 82 - 273 = -191$ $T_2 = -191 ^{\circ} C$ c. $$T_2 = (10.0 \space L)\frac{273 \space K}{4.00 \space L} = 683 \space K$$ $T_2/^{\circ}C = 683 - 273 = 410$ $T_2 = 410 ^{\circ} C$ d. $$T_2 = (0.0500 \space L)\frac{273 \space K}{4.00 \space L} = 3.41 \space K$$ $T_2/^{\circ}C = 3.41 - 273 = -270$ $T_2 = -270 ^{\circ} C$
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