Chemistry: The Molecular Science (5th Edition)

Published by Cengage Learning
ISBN 10: 1285199049
ISBN 13: 978-1-28519-904-7

Chapter 8 - Properties of Gases - Questions for Review and Thought - Topical Questions - Page 370a: 36

Answer

61.7 g/mol

Work Step by Step

Recall: Density $d= \frac{PM}{RT}$ where P is the pressure, M is the molar mass, R is the universal gas constant and T the temperature. Given: $P= 715\,mmHg\times\frac{1 \,atm}{760\, mmHg}$ $=0.941\,atm$ $T= (23.0+273) K=296 K$, $R=0.0821\,L\,atm\,mol^{-1}K^{-1}$ and $d= 2.39\,g/L$ Rearrange and substitute: $M=\frac{dRT}{P}=\frac{(2.39\,g/L)(0.0821\,L\,atm\,mol^{-1}K^{-1})(296\,K)}{0.941\,atm}$ $=61.7\,g/mol$
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