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 582: 85a

Answer

$V=38L$

Work Step by Step

The equation $PV=nRT$ can be re-arranged as: $V=\frac{nRT}{P}$..........(1) Now, we convert the temperature to Kelvin: $T=C^{\circ}+20=77+273=350K$ Next, we find the number of moles $n$: $n=\frac{mass}{M_r}=\frac{300g}{17\frac{g}{mol}}=17.64$ Substituting the values into (1), we get $V=\frac{(17.64)(8.314)(350)}{1.35\times10^6}$ $V=0.038m^3$ $V=0.038\times1000=38L$
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