Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach
5th Edition
ISBN: 9781119175483
Author: William D. Callister Jr., David G. Rethwisch
Publisher: WILEY
Question
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Chapter 10.21, Problem 1QP

(a)

To determine

The amount of sugar dissolve in 1000g of water at 80°C(176°F) .

(a)

Expert Solution
Check Mark

Answer to Problem 1QP

The amount of sugar dissolve in 1000g of water at 80°C(176°F) is 2846g .

Explanation of Solution

Given:

The amount of water, mwater=1000g .

The temperature for dissolving of sugar into water, T=80°C .

Explanation:

Express the amount of sugar.

Csugar(wt%)=msugarmsugar+mwater×100 (I)

Here, mass of sugar is msugar and maximum concentration of sugar is Csugar(wt%) .

Conclusion:

Refer Figure 9.1, "the solubility of sugar in sugar water syrup" and show the concentration of sugar at temperature of 80°C as in Figure (1).

Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach, Chapter 10.21, Problem 1QP

From Figure (1), write the concentration of sugar at temperature of 80°C .

Csugar(wt%)=74wt%

Substitute 74wt% for Csugar(wt%) and 1000g for mwater in Equation (I).

74=msugarmsugar+1000×10074msugar+74000=100msugar26msugar=74000msugar=2846g

Hence, the amount of sugar dissolve in 1000g of water at 80°C(176°F) is 2846g .

(b)

To determine

The composition of the saturated liquid solution (in wt% sugar) at 20°C .

(b)

Expert Solution
Check Mark

Answer to Problem 1QP

The composition of the saturated liquid solution (in wt% sugar) at 20°C is 64wt% .

Explanation of Solution

Given:

The temperature for dissolving of sugar into water, T=20°C(68°F) .

Explanation:

From Figure (1), write the concentration of sugar at temperature of 20°C .

Csugar(wt%)=64wt%

Hence, the composition of the saturated liquid solution (in wt% sugar) at 20°C is 64wt% .

(c)

To determine

The amount of solid sugar will come out of solution upon cooling at 20°C .

(c)

Expert Solution
Check Mark

Answer to Problem 1QP

The amount of solid sugar will come out of solution upon cooling at 20°C is 1068g .

Explanation of Solution

Given:

The temperature for dissolving of sugar into water, T=20°C(68°F) .

Explanation:

Express the concentration of sugar at 20°C

Csugar(wt%)=m'sugarm'sugar+mwater×100 (II)

Here, mass of sugar is msugar and maximum concentration of sugar is Csugar(wt%) .

Express the amount of solid sugar will come out of solution upon cooling at 20°C .

m''sugar=msugarm'sugar (III)

Conclusion:

Substitute 64wt% for Csugar(wt%) and 1000g for mwater in Equation (II).

64=m'sugarm'sugar+1000×10064m'sugar+64000=100m'sugar36m'sugar=64000m'sugar=1778g

Substitute 2846g for msugar and 1778g for m'sugar in Equation (III).

m''sugar=2846g1778g=1068g

Hence, the amount of solid sugar will come out of solution upon cooling at 20°C is 1068g .

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Chapter 10 Solutions

Fundamentals of Materials Science and Engineering, Binder Ready Version: An Integrated Approach

Ch. 10.21 - Prob. 11QPCh. 10.21 - Prob. 12QPCh. 10.21 - Prob. 13QPCh. 10.21 - Prob. 14QPCh. 10.21 - Prob. 15QPCh. 10.21 - Prob. 16QPCh. 10.21 - Prob. 17QPCh. 10.21 - Prob. 18QPCh. 10.21 - Prob. 19QPCh. 10.21 - Prob. 20QPCh. 10.21 - Prob. 21QPCh. 10.21 - Prob. 22QPCh. 10.21 - Prob. 23QPCh. 10.21 - Prob. 24QPCh. 10.21 - Prob. 25QPCh. 10.21 - Prob. 26QPCh. 10.21 - Prob. 27QPCh. 10.21 - Prob. 28QPCh. 10.21 - Prob. 29QPCh. 10.21 - Prob. 30QPCh. 10.21 - Prob. 31QPCh. 10.21 - Prob. 32QPCh. 10.21 - Prob. 33QPCh. 10.21 - Prob. 34QPCh. 10.21 - Prob. 35QPCh. 10.21 - Prob. 36QPCh. 10.21 - Prob. 37QPCh. 10.21 - Prob. 38QPCh. 10.21 - Prob. 39QPCh. 10.21 - Prob. 40QPCh. 10.21 - Prob. 41QPCh. 10.21 - Prob. 42QPCh. 10.21 - Prob. 43QPCh. 10.21 - Prob. 44QPCh. 10.21 - Prob. 45QPCh. 10.21 - Prob. 46QPCh. 10.21 - Prob. 47QPCh. 10.21 - Prob. 48QPCh. 10.21 - Prob. 49QPCh. 10.21 - Prob. 50QPCh. 10.21 - Prob. 51QPCh. 10.21 - Prob. 52QPCh. 10.21 - Prob. 53QPCh. 10.21 - Prob. 54QPCh. 10.21 - Prob. 55QPCh. 10.21 - Prob. 56QPCh. 10.21 - Prob. 57QPCh. 10.21 - Prob. 58QPCh. 10.21 - Prob. 59QPCh. 10.21 - Prob. 60QPCh. 10.21 - Prob. 61QPCh. 10.21 - Prob. 62QPCh. 10.21 - Prob. 63QPCh. 10.21 - Prob. 64QPCh. 10.21 - Prob. 65QPCh. 10.21 - Prob. 66QPCh. 10.21 - Prob. 67QPCh. 10.21 - Prob. 68QPCh. 10.21 - Prob. 69QPCh. 10.21 - Prob. 70QPCh. 10.21 - Prob. 71QPCh. 10.21 - Prob. 72QPCh. 10.21 - Prob. 73QPCh. 10.21 - Prob. 74QPCh. 10.21 - Prob. 75QPCh. 10.21 - Prob. 76QPCh. 10.21 - Prob. 77QPCh. 10.21 - Prob. 78QPCh. 10.21 - Prob. 79QPCh. 10.21 - Prob. 80QPCh. 10.21 - Prob. 81QPCh. 10.21 - Prob. 82QPCh. 10.21 - Prob. 83QPCh. 10.21 - Prob. 84QPCh. 10.21 - Prob. 1FEQPCh. 10.21 - Prob. 2FEQPCh. 10.21 - Prob. 3FEQPCh. 10.21 - Prob. 4FEQP
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