Chemistry and Chemical Reactivity (9th Edition)

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

Chapter 10 Gases and Their Properties - Study Questions - Page 403b: 21

Answer

$1.9\times10^{6}\,g$

Work Step by Step

$V=1.2\times10^{7}\,L$ $P=737\,mmHg=737\,mmHg\times\frac{1\,atm}{760\,mmHg}$ $=0.9697\,atm$ $T=25^{\circ}C=(25+273)K=298\,K$ $R=0.0821\,L\,atm\,K^{-1}mol^{-1}$ Using ideal gas law, $PV=nRT$, we get $n=\frac{PV}{RT}=\frac{0.9697\,atm\times1.2\times10^{7}\,L}{0.0821\,L\,atm\,K^{-1}mol^{-1}\times298\,K}=4.756\times10^{5}\,mol$ Mass in grams=$n\times\text{molar mass of He}$ $=4.756\times10^{5}\,mol\times4.00\,g/mol=1.9\times10^{6}\,g$
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