Problem: Using the van't Hoff factors in the table below, calculate the mass of solute required to make each aqueous solution.Van't Hoff factors at 0.05 m concentration in aqueous solutionSoluteExpectedMeasuredNonelectrolyte11NaCl21.9MgSO421.3MgCl232.7K2SO432.6FeCl343.4Calculate the mass of solute required to make an iron(III) chloride solution containing 261 g of water that has a boiling point of 108 oC.

FREE Expert Solution

When a non-volatile solute is added to a volatile solvent, it causes an increase in the boiling point of the solvent. This is one of the four colligative properties and is known as the boiling point elevation.


Boiling point elevation is calculated using this formula:


<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>&#x2206;</mo><mi>T</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mi>i</mi><mo>&#xB7;</mo><msub><mi>K</mi><mi>b</mi></msub><mo>&#xB7;</mo><mi>m</mi></math>


In this equation:

i = Van’t Hoff factor

Kb = ebullioscopic (boiling point elevation) constant for water = 0.512 oC/m

m = molality of solution


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Problem Details
Using the van't Hoff factors in the table below, calculate the mass of solute required to make each aqueous solution.
Van't Hoff factors at 0.05 m concentration in aqueous solution
SoluteExpectedMeasured
Nonelectrolyte11
NaCl21.9
MgSO421.3
MgCl232.7
K2SO432.6
FeCl343.4

Calculate the mass of solute required to make an iron(III) chloride solution containing 261 g of water that has a boiling point of 108 oC.

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