Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 13 - Temperature and Kinetic Theory - Problems: 24

Answer

1000 degrees C.

Work Step by Step

Use the ideal gas model. The amount of air, n, is constant. The value of PV/T remains constant. $$\frac{P_1V_1}{T_1}=\frac{P_2V_2}{T_2}$$ $$T_2=T_1\frac{P_2}{P_1}\frac{V_2}{V_1}$$ $$T_2=(293K)\frac{40atm}{1atm}\frac{1}{9}=1302K\approx1000^{\circ}C$$
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