Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 19 - The Kinetic Theory of Gases - Problems - Page 577: 6

Answer

$1.25\ atm$

Work Step by Step

Given; Initial temperature $T_1 =5^{\circ} C$ We then convert initial temperatures degree to kelvins: $T_1 = 5+273 = 278\ k$ Also, Final temperate $T_2 =75^{\circ} C$ We convert final temperature degree to kelvins: $T_2 =75+273 =348\ K$ From ideal gas equation, we have: $PV =nRT$ At constant volume, $P\propto T$. Then, $\frac{P_1}{P_2} = \frac{T_1}{T_2}$ $P_2 =P_1 (\frac{T_2}{T_1})$ $P_2 =1\ atm (\frac{348\ k}{278\ k})$ $P_2 =1.25\ atm$
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