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20 July, 10:25

A solution is made by adding 35.5 mL of concentrated hydrochloric acid (37.3 wt%, density 1.19 g/mL1.19 g/mL) to some water in a volumetric flask, and then adding water to the mark to make exactly 250 mL 250 mL of solution. Calculate the concentration of this solution in molarity.

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  1. 20 July, 13:15
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    1.73 M

    Explanation:

    We must first obtain the concentration of the concentrated acid from the formula;

    Co = 10pd/M

    Where

    Co = concentration of concentrated acid = (the unknown)

    p = percentage concentration of concentrated acid = 37.3%

    d = density of concentrated acid = 1.19 g/ml

    M = Molar mass of the anhydrous acid

    Molar mass of anhydrous HCl = 1 + 35.5 = 36.5 gmol-1

    Substituting values;

    Co = 10 * 37.3 * 1.19/36.5

    Co = 443.87/36.6

    Co = 12.16 M

    We can now use the dilution formula

    CoVo = CdVd

    Where;

    Co = concentration of concentrated acid = 12.16 M

    Vo = volume of concentrated acid = 35.5 ml

    Cd = concentration of dilute acid = (the unknown)

    Vd = volume of dilute acid = 250ml

    Substituting values and making Cd the subject of the formula;

    Cd = CoVo/Vd

    Cd = 12.16 * 35.5/250

    Cd = 1.73 M
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