Materials Science and Engineering: An Introduction

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

Chapter 9 - Phase Diagrams - Questions and Problems - Page 349: 9.1a

Answer

$m_{sugar} = 3000 g$

Work Step by Step

Given: Sugar–water phase diagram of Figure 9.1 Required: amount of sugar that will dissolve in 1000 g of water at 80°C (176°F) Solution: From Figure 9.1, the maximum concentration of sugar in syrup is about 75 wt%. Now using Equation 4.3, $C_{sugar}$ (wt%) = $\frac{m_{sugar}}{m_{sugar} + m_{water}} \times 100$ 75 (wt%) = $\frac{m_{sugar}}{m_{sugar} + 1000 g} \times 100$ $m_{sugar} = 3000 g$
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