Materials Science And Engineering
Materials Science And Engineering
10th Edition
ISBN: 9781119405498
Author: Callister, William D., Jr, RETHWISCH, David G., Jr., 1940- Author.
Publisher: Wiley,
Question
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Chapter 9, Problem 1QAP

(a)

To determine

The mass of sugar dissolved in mw=1500g water at T=90oC .

(a)

Expert Solution
Check Mark

Answer to Problem 1QAP

The mass of sugar dissolved in mw=1500g water at T=90oC is ms=5.022kg .

Explanation of Solution

Given Amount of water is mw=1500g .

Temperature is T=90oC .

Formula used:

  Csugar=msugarmsugar+mwater×100%

Where,

  Csugar is the composition of sugar in weight percent.

  msugar is the mass of sugar.

  mwater is the mass of water.

  Materials Science And Engineering, Chapter 9, Problem 1QAP , additional homework tip  1

According to diagram Csugar=77

  %wtsugar

Calculations Put value of Csugar=77 , mass of water= 1500g

  Csugar=msugarmsugar+mwater×100%77=msugarmsugar+1500kgx100%0.77=msugarmsugar+1500kgmsugar=0.77msugar+1500kg0.23msugar=1155kgmsugar=5.022kg

Conclusion So, the mass of sugar dissolved in mw=1500g water at T=90oC .is ms=5.022kg .

(b)

To determine

Composition of saturated liquid solution at T=20°C .

(b)

Expert Solution
Check Mark

Answer to Problem 1QAP

Composition of the saturated liquid solution is C=65%wt .

Explanation of Solution

From the sugar-water phase diagram when the liquid saturated solution from temperature T=90°C is cooled to temperature T=20°C then the composition of the saturated liquid solution is C=65%wt . It is shown in the graph below.

  Materials Science And Engineering, Chapter 9, Problem 1QAP , additional homework tip  2

Conclusion Hence, the composition of the saturated liquid solution is C=65%wt .

(c)

To determine

Mass of solid sugar comes out of the solution upon cooling to T=20°C .

(c)

Expert Solution
Check Mark

Answer to Problem 1QAP

Mass of solid sugar comes out of the solution upon cooling to T=20°C is msolidified=2.714kg .

Explanation of Solution

Given Amount of water is mw=1500g .

Cooling Temperature is T=20°C .

Mass of sugar dissolved at T'=90°C is ms=5.022kg .

Formula used:

Solubility of sugar in water is given by:

  CsugarT=20°C=m'sugarm'sugar+mwaterx100%

Where,

  Csugar =Composition of sugar in weight percent

  m'sugar =mass of maximum solubility of sugar at T=20°C .

  mwater =mass of water

Mass of sugar solidifies upon cooling to temperature T=20°C is

  msolidified=msugarT'=90°Cm'sugarT=20°C

  Materials Science And Engineering, Chapter 9, Problem 1QAP , additional homework tip  3

According to diagram Csugar=65%wt sugar

Calculations Put value of Csugar=65 , mass of water mw=1500g

  CsugarT=20°C=m'sugarm'sugar+mwater×100%65=m'sugarm'sugar+1500g×100%m'sugarm'sugar+1500g=0.65m'sugar=0.65m'sugar+1500g0.35m'sugar=975gm'sugar=975g0.35m'sugar=2785.72gm'sugar=2.786kg

Mass of sugar solidifies upon cooling to temperature T=20°C is

  msolidified=msugarT'=90°Cm'sugarT=20°Cmsolidified=5.5kg2.786kgmsolidified=2.714kg

Conclusion So, the mass of sugar that solidified upon cooling to temperature T=20°C is msolidified=2.714kg .

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