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25 April, 14:15

A 14.2% by mass HCl solution has a density of 1.1684 g/mL. What is the concentration of this solution in molarity?

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  1. 25 April, 15:19
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    [HCl] = 4.54 M

    Explanation:

    14.2 % by mass is 14.2 g in 100 g of solution.

    Let's calculate the moles of our solute, HCl

    14.2 g / 36.45 g/mol = 0.389 mol

    Molarity is mol/L (moles of solute in 1L of solution)

    Let's determine the volume of solution with density

    Solution density = Solution mass / Solution volume

    Solution volume = Solution mass / Solution density

    Solution volume = 100 g / 1.1684 g/mL → 85.6 mL

    For molarity, we need the volume in L. Let's make the unit change.

    85.6 mL. 1 L/1000mL = 0.0856L

    Molarity is 0.389 mol / 0.0856L → 4.54 M
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