College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 13 - Problems - Page 498: 50

Answer

The pressure at the higher temperature is $135~kPa$

Work Step by Step

We can find an expression for the original pressure: $P_1V = nRT_1$ $P_1 = \frac{nRT_1}{V}$ We can find an expression for the new pressure: $P_2V = nRT_2$ $P_2 = \frac{nRT_2}{V}$ We can divide $P_2$ by $P_1$ to find the new pressure $P_2$: $\frac{P_2}{P_1} = \frac{\frac{nRT_2}{V}}{\frac{nRT_1}{V}}$ $P_2 = \frac{T_2}{T_1}~P_1$ $P_2 = \left(\frac{343~K}{293~K}\right)~(115~kPa)$ $P_2 = 135~kPa$ The pressure at the higher temperature is $135~kPa$
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