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  • Jan 27, 2010, 11:34 AM
    Unknown008
    Solubiity Product
    I've been struggling with this question... in vain. Some hints?

    Saturated solutions of calcium hydroxide were made up in (a) water, and in sodium hydroxide solutions of concentrations, (b) 0.025 moldm-3, (c) 0.05 moldm-3, (d) 0.1 moldm-3. 20.0 cm3 of each solution were titrated with 0.05 moldm-3 hydrochloric acid, and required (a) 19.0 cm3, (b) 23.2 cm3, (c) 28.4 cm3, (d) 43.6 cm3 of the acid. Show that an almost constant value of about 5.5 x 10‑6 can be obtained, from these observations, for the solubility product of calcium hydroxide.

    ~~~~~

    I worked out the number of moles of acid used;
    (a) 9.5x10^-4 mol
    (b) 1.16x10^-3 mol
    (c) 1.42x10^-3 mol
    (d) 2.18x10^-3 mol

    Then, I found the concentration of OH^- and Ca(OH)2 from the 20 cm^3 sample:
    (a) 0.0475M, 0.0237 M
    (b) 0.058 M, 0.029 M
    (c) 0.071 M, 0.035 M
    (d) 0.108 M, 0.054 M

    Now, I know

    Assuming the concentration of OH^- be as I obtained before, the Ksp for the first one should be:

    Let x be the number of moles of dissociated ions.
    There is x moles of Ca^2+ and 2x^2 moles of OH^-, or a product of 4x^3 mol^3dm^-9.

    Ksp = 4 * (0.0475)^3 = 0.00043 = 4.3x10^-4

    Which is way too far from 5.5x10^-6

    :(

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