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 - General Problems - Page 388: 76

Answer

$1.1\times10^{27}$ air molecules. 1900 moles.

Work Step by Step

Assume the air is an ideal gas, and that the pressure is 1.0 atm. $$PV=NkT$$ Find the number of air molecules, N. $$N=\frac{PV}{kT}=\frac{(1.013\times10^5 Pa)( 6.0\times 3.0 \times 2.5 m^3)}{(1.38\times10^{-23}J/K)(295K) }\approx 1.1\times10^{27}$$ Now find the number of moles. $$(1.1197\times10^{27})(\frac{1\;mole}{6.02\times10^{23}})=1900\;moles$$
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