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: 4.13

Answer

$C_{Ag} $= 87.90 at% $C_{Cu} $= 12.10 at%

Work Step by Step

Given: 92.5 wt% Ag 7.5 wt% Cu Solution: $A_{Ag} = 107.87 g/mol$ $A_{Cu} = 63.55 g/mol$ Using Equation 4.6: $C_{Ag} = \frac{C_{Ag}A_{Cu}}{C_{Ag}A_{Cu} +C_{Cu}A_{Ag}} \times 100 = \frac{(92.5)(63.55 g/mol)}{(92.5)(63.55 g/mol) + (7.5)(107.87)} \times 100 $= 87.90 at% $C_{Cu} = \frac{C_{Cu}A_{Ag}}{C_{Ag}A_{Cu} +C_{Cu}A_{Ag}} \times 100 = \frac{(7.5)(107.87 g/mol)}{(92.5)(63.55 g/mol) + (7.5)(107.87)} \times 100 $= 12.10 at%
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