When 397.g of benzamide C7H7NO are dissolved in 1400.g of a certain mystery liquid X, the freezing point of the solution is 4.8°C lower than the freezing point of pure X. On the other hand, when 397.g of iron(III) chloride are dissolved in the same mass of X, the freezing point of the solution is 11.8°C lower than the freezing point of pure X.Calculate the van't Hoff factor for iron(III) chloride in X. Be sure your answer has a unit symbol, if necessary, and round your answer to 2 significant digits. i=

Introductory Chemistry For Today
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ISBN:9781285644561
Author:Seager
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Chapter7: Solutions And Colloids
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Problem 7.87E
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When 397.g of benzamide C7H7NO are dissolved in 1400.g of a certain mystery liquid X, the freezing point of the solution is 4.8°C lower than the freezing point of pure X. On the other hand, when 397.g of iron(III) chloride are dissolved in the same mass of X, the freezing point of the solution is 11.8°C lower than the freezing point of pure X.Calculate the van't Hoff factor for iron(III) chloride in X. Be sure your answer has a unit symbol, if necessary, and round your answer to 2 significant digits.

i=

 

 

Expert Solution
Step 1

First of all we calculate the Kf of mystery liquid X using benzamide. For this purpose we use Following formula -

∆Tf = i × Kf × mass of solute × 1000/molar mass of solute× mass of solvent

 

(i for benzamide is 1.62, molar mass is 121 g/mol)

Kf = 4.8×121×1400/1.62×397×1000

Kf = 1.264

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