Chemistry 10th Edition

Published by Brooks/Cole Publishing Co.
ISBN 10: 1133610668
ISBN 13: 978-1-13361-066-3

Chapter 12 - Gases and the Kinetic-Molecular Theory - Exercises - STP, Standard Molar Volume, and Gas Densities - Page 441: 41

Answer

Density of $N_{2}$= 1.38 g/L Density of air= 1.44 g/L

Work Step by Step

Recall: $d=\frac{PM}{RT}$ where $d$ is the density, $P$ is the pressure, $M$ is the molecular weight, $R$ is the universal gas constant and $T$ the temperature in K. Given/Known: $P=1.25\,atm$ $R=0.0821\,L\,atm\,mol^{-1}K^{-1}$ and $T=(35+273)K= 308\,K$ For $N_{2}$, $M= 28.0\,g/mol$ and $d=\frac{1.25\,atm\times28.0\,g/mol}{(0.0821\,L\,atm\,mol^{-1}K^{-1})(308\,K)}$ $=1.38\,g/L$ For air, $M= 29.2\,g/mol$ and $d=\frac{1.25\,atm\times29.2\,g/mol}{(0.0821\,L\,atm\,mol^{-1}K^{-1})(308\,K)}$ $=1.44\,g/L$
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