MgCl₂ has a van't Hoff factor of 2.70. What would be the boiling point (in °C) of an aqueous solution containing 4.30 mol of MgCl₂ in 1.00 kg of water? (Kb for water is 0.512 °C/m. The boiling point for water is 100.0˚C.)

Chemistry: Principles and Reactions
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Author:William L. Masterton, Cecile N. Hurley
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Problem 39QAP: Calculate the freezing point and normal boiling points of each of the following aqueous solutions....
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MgCl₂ has a van't Hoff factor of 2.70. What would be the boiling point (in °C) of an aqueous solution containing 4.30 mol of MgCl₂ in 1.00 kg of water? (Kb for water is 0.512 °C/m. The boiling point for water is 100.0˚C.)

Expert Solution
Step 1

When a non volatile solute is added to a pure solvent it's point is increased . The increase in boiling point is called elevation of boiling point ( ∆Tb ).

If To is boiling point of pure solvent and T is it's boiling point in solution , then the difference (T-To ) is called elevation in boiling point

∆Tb = T - To

Experimentally it was found that , ∆Tb is proportional to molality of solution and also depends on van't Hoff factor " i " 

∆Tb = i×Kb×molality

molality = n/W

n = moles of solute 

W = nass of solvent in kg

 

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