An aqueous solution of hydrochloric acid contains 36% HCl (molar  mass=36.46 g/mol) by mass. (a) Calculate the mole fraction of HCl in the solution.  (b) Calculate the molality of HCl in the solution.  [Hint: It is often helpful in problems involving mass percentages to  assume a certain total mass. Assume that there are exactly 100g  solution. Thus, the solution contains 36 g HCl, and (100 g – 36 g) = 64 g  H2O].

Chemistry: An Atoms First Approach
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Author:Steven S. Zumdahl, Susan A. Zumdahl
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Chapter10: Properties Of Solutions
Section: Chapter Questions
Problem 124CP
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An aqueous solution of hydrochloric acid contains 36% HCl (molar 
mass=36.46 g/mol) by mass.
(a) Calculate the mole fraction of HCl in the solution. 
(b) Calculate the molality of HCl in the solution. 
[Hint: It is often helpful in problems involving mass percentages to 
assume a certain total mass. Assume that there are exactly 100g 
solution. Thus, the solution contains 36 g HCl, and (100 g – 36 g) = 64 g 
H2O].

 

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Answers: mole of HCl = 0.99 mol; moles of water = 3.6 mol; mole 
fraction of HCl= 0.22; molality of HCl = 15 m

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