How many grams of KNO, (101.10g mol ") must be added to 102 g water to produce a boiling point elevation equl to the magnitude of a freezing point depression observed for a solution of 203 g of MgC, (95 21 g mol )in 191gwate. assuming complete dissociation? Kb= 0.52°C m, Kf = 1.86 °C m* for water 0 1211g 11.57g 0 3.61g 6.18g 15.28g dudur Gdle

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Chapter12: Solutions
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How many grams of KNO, (101.10g mol ") must be added to 102 g water to produce a boiling point elevation equl to
the magnitude of a freezing point depression observed for a solution of 203 g of MgC, (95 21 g mol )in 191gwate.
assuming complete dissociation?
Kb= 0.52°C m, Kf = 1.86 °C m* for water
0 1211g
11.57g
0 3.61g
6.18g
15.28g
dudur Gdle
Transcribed Image Text:How many grams of KNO, (101.10g mol ") must be added to 102 g water to produce a boiling point elevation equl to the magnitude of a freezing point depression observed for a solution of 203 g of MgC, (95 21 g mol )in 191gwate. assuming complete dissociation? Kb= 0.52°C m, Kf = 1.86 °C m* for water 0 1211g 11.57g 0 3.61g 6.18g 15.28g dudur Gdle
Expert Solution
Introduction

Each solution possesses particular boiling point and also freezing point. The increment/elevation in any solution's boiling point after adding any specified solute is considered as "boiling point elevation". Whereas the decrement in any solution's freezing point is "freezing point depression". 

 

Chemistry homework question answer, step 1, image 1

Solution

The calculation of freezing point depression for MgCl2

The number of moles of MgCl2 can be calculated as shown below.

Chemistry homework question answer, step 2, image 1

The number of moles of MgCl2 is 0.02132 moles.

The molality of the MgCl2 solution can be calculated as shown below.

Chemistry homework question answer, step 2, image 2

Thus the molality of MgCl2 solution is 0.1116 m.

Solution

The formula for the calculation of freezing point depression is shown below.

Chemistry homework question answer, step 3, image 1

Since MgCl2 is an electrolyte and in aqueous solution, 1 mole of MgCl2 dissociates into 1 mole of Mg2+ and 2 moles of Cl- ions.

Chemistry homework question answer, step 3, image 2

Thus the Van’t Hoff factor (i) for MgCl2 in water is 3.

Chemistry homework question answer, step 3, image 3

Solution

The calculation of boiling point elevation for KNO3

The formula for the calculation of boiling point elevation is shown below.

Chemistry homework question answer, step 4, image 1

Chemistry homework question answer, step 4, image 2

Thus the Van’t Hoff factor (i) for KNO3 in water is 2.

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