Chemistry and Chemical Reactivity (9th Edition)

Published by Cengage Learning
ISBN 10: 1133949649
ISBN 13: 978-1-13394-964-0

Chapter 2 Atoms, Molecules, and Ions - 2-10 Chemical Analysis: Determining Compound Formulas - Applying Chemical Principles - Questions - Page 92: 4


$n_{atoms}=1.3\times10^{27}\ atoms$

Work Step by Step

The volume of the room is $V=4.0m\times5.0m\times2.4m=48\ m^3\times\dfrac{1\times10^3\ L}{1\ m^3}=48\times10^3 L$ Since this room is entirely filled with argon, with a density of $\rho=1.78\ g/L$: $m=\rho\times V=8.5\times10^4\ g$ With the atomic weight of $M= 39.948\ g/mol$ $n=m/M=2.1\times10^3\ mol$ From Avogadro's number: $N=6.022\times10^{23}\ atoms/mol$ $n_{atoms}=n\times N=1.3\times10^{27}\ atoms$
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