When 24.8g of alanine C3H7NO2 are dissolved in 1050.g of a certain mystery liquid X, the freezing point of the solution is 7.40°C less than the freezing point of pure X.Calculate the mass of iron(III) nitrate FeNO33 that must be dissolved in the same mass of X to produce the same depression in freezing point. The van't Hoff factor =i3.60 for iron(III) nitrate in X.Be sure your answer has a unit symbol, if necessary, and round your answer  to 3 significant digits.

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
Section: Chapter Questions
Problem 12.23QE
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When 24.8g of alanine C3H7NO2 are dissolved in 1050.g of a certain mystery liquid X, the freezing point of the solution is 7.40°C less than the freezing point of pure X.Calculate the mass of iron(III) nitrate FeNO33 that must be dissolved in the same mass of X to produce the same depression in freezing point. The van't Hoff factor =i3.60 for iron(III) nitrate in X.Be sure your answer has a unit symbol, if necessary, and round your answer  to 3 significant digits.

 

 

Expert Solution
Step 1

First of all we calculate the value of Kf of mystery liquid X, by following formula -

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

 

Kf = ∆Tmolar mass of solute×mass of solvent/i mass of solute×1000

K= 7.40×89×1050/1×24.8×1000

Kf = 27.88

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