Chemistry: A Molecular Approach (3rd Edition)

Published by Prentice Hall
ISBN 10: 0321809246
ISBN 13: 978-0-32180-924-7

Chapter 5 - Sections 5.1-5.10 - Exercises - Problems by Topic - Page 240: 56

Answer

$1.20\times10^{3}\,mmHg$

Work Step by Step

Ideal gas law is written as $pV=nRT$ As $n=\frac{m}{M}$, $pV=\frac{m}{M}RT$ Or alternatively, we can state it as $pM=dRT$ where p is the pressure, M is the molar mass, d is the density, R is the universal gas constant and T the temperature. Given/Known: d= 2.85 g/L, T= 298 K, $R=0.082057\,L\,atmK^{-1}mol^{-1}$ and M= 44.0 g/mol. Equation to find p: $p=\frac{dRT}{M}$ Result: $p=\frac{2.85\,g/L\times0.082057\,L\,atmK^{-1}mol^{-1}\times298\,K}{44.0\,g/mol}=1.58\,atm$ $1.58\, atm=1.58\,atm\times\frac{760\,mmHg}{1\,atm}=1.20\times10^{3}\,mmHg$
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