General Chemistry: Principles and Modern Applications (10th Edition)

Published by Pearson Prentice Hal
ISBN 10: 0132064529
ISBN 13: 978-0-13206-452-1

Chapter 6 - Gases - Exercises - Determining Molar Mass - Page 233: 35

Answer

104 g/mol

Work Step by Step

We find: $P=743\, mmHg\times\frac{1\,atm}{760\, mmHg}$ $=0.97763\,atm$ $V=115\,mL= 115\times10^{-3}\,L$ $T=(66.3+273)K=339.3\,K$ $PV=nRT\implies n=\frac{PV}{RT}$ $=\frac{(0.97763\,atm)(115\times10^{-3}\,L)}{(0.08206\,L\,atm\,K^{-1}mol^{-1})(339.3\,K)}$ $=0.004038\,mol$ Molar mass $M=\frac{\text{mass in grams}}{\text{number of moles}}$ $=\frac{0.418\,g}{0.004038\,mol}$ $=104\,g/mol$
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