Question
Asked Sep 4, 2019

The molality of hydrochloric acidHCl, in an aqueous solution is 13.6mol/kg. 

What is the mole fraction of hydrochloric acid in the solution? Answer: ______

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Step 1

Molality is the way to express the concentration of any solution. It can be defined as the number of moles of solute dissolves in 1 kg of the solvent. The mathematical expression for molality can be written as:

Moles of solute
Molaity
Mass of solvent(kg)
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Moles of solute Molaity Mass of solvent(kg)

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Step 2

13.6 m solution or 13.6 mol/kg aqueous solution of HCl means 13.6 moles of HCl dissolve in 1 kg of water.

Hence moles of HCl = 13.6 moles

Calculate moles of water and total moles in solution:

Mass of water 1 kg = 1000 g
Molar mass of water 18.01g/mol
Mass
Moles of water
Molar mass
1000 g
Moles of water.
18.01 g/mol
Moles of water = 55.5 moles
Hence total moles Moles of HCl +Moles of water
13.6 +55.5 69.1 moles
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Mass of water 1 kg = 1000 g Molar mass of water 18.01g/mol Mass Moles of water Molar mass 1000 g Moles of water. 18.01 g/mol Moles of water = 55.5 moles Hence total moles Moles of HCl +Moles of water 13.6 +55.5 69.1 moles

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Step 3

Mole fraction of a component in a solution is the ratio of moles of that component and total...

Moles of X
Mole fraction of X
Total moles
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Moles of X Mole fraction of X Total moles

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