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: 3a

Answer

$n=0.0388$ mol

Work Step by Step

We know that the ideal gas equation is $PV=nRT$ We rearrange this equation to make $n$ the subject of the formula: $n=\frac{PV}{RT}$ Next, we convert the temperature from degrees to Kelvin: $T=C^{\circ}+273K=40+273=313K$ Now, we substitute the values in the re-arranged ideal gas equation above to find the number of moles: $n=\frac{1.01\times10^5(1000\times10^{-6}m^3)}{8.31(313)}=0.0388$ mol
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