University Physics with Modern Physics (14th Edition)

Published by Pearson
ISBN 10: 0321973615
ISBN 13: 978-0-32197-361-0

Chapter 18 - Thermal Properties of Matter - Problems - Exercises - Page 610: 18.2

Answer

(a) $983^{\circ}C$ (b) $0.0894 g$

Work Step by Step

For (a): From the ideal gas law, $pV = nRT$. Here, $n$ and $R$ are constant, so $\frac{p_1 V_1}{T_1} = \frac{p_2 V_2}{T_2}$. Note that $T_1 = 41^{\circ}C = 314 K$. $T_2 = T_1 (\frac{p_2}{p_1})(\frac{V_2}{V_1}) = (314)(2)(2) = 1256 K = 983^{\circ}C$. For (b): $n = \frac{pV}{RT} = \frac{(0.180)(3.2)}{(0.082)(314)} = 0.02235\ mol$. Mass $m = (0.02235)(4) = 0.0894 g$.
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