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: 58

Answer

$M=39.9\frac{g}{mol}$

Work Step by Step

We know that $PV=nRT$ But $n=\frac{m}{M}$ Where $m$ and$M$ are mass in grams and molar mass respectively $\implies PV=\frac{mRT}{M}$ This can be rearranged as $M=\frac{mRT}{PV}$...........eq(1) $T=32+273.15=305.15K$ $P=721mmHg\times\frac{1atm}{760mmHg}=0.94868atm$ We plug in the known values in eq(1)to obtain: $M=\frac{0.171\times 0.08206\times 305.15}{0.94868\times 113\times 10^{-3}}=39.9\frac{g}{mol}$
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