Materials Science and Engineering: An Introduction

Published by Wiley
ISBN 10: 1118324579
ISBN 13: 978-1-11832-457-8

Chapter 4 - Imperfections in Solids - Questions and Problems - Page 136: 4.14

Answer

$C_{Pb} $= 3.23 at% $C_{Sn} $= 96.77 at%

Work Step by Step

Given: 5.5 wt% Pb 94.5 wt% Sn Required: atom in percent Solution: $A_{Pb} = 207.2 g/mol$ $A_{Sn} = 118.71 g/mol$ Using Equation 4.6, $C_{Pb} = \frac{C_{Pb}A_{Sn}}{C_{Pb}A_{Sn} +C_{Sn}A_{Pb}} \times 100 = \frac{(5.5)(118.71 g/mol)}{(5.5)(118.71 g/mol) + (94.5)(207.2)} \times 100 $= 3.23 at% $C_{Sn} =\frac{C_{Sn}A_{Pb}}{C_{Pb}A_{Sn} +C_{Sn}A_{Pb}} \times 100 = \frac{(94.5)(207.2 g/mol)}{(5.5)(118.71 g/mol) + (94.5)(207.2)} \times 100 $= 96.77 at%
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