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11 January, 14:23

For an aqueous solution of hf, determine the van't hoff factor assuming 0% and 100% ionization, respectively. a solution is made by dissolving 0.0100 mol hf in enough water to make 1.00 l of solution. at 22 °c, the osmotic pressure of the solution is 0.307 atm. what is the percent ionization of this acid?

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  1. 11 January, 18:02
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    According to Osmotic pressure equation:

    π = i M R T

    When π = 0.307 atm & M = 0.01 mol & R (constant) = 0.0821 L-atom/mol-K &

    T = 22+273 = 295 Kelvin

    So Van't half vector i = π / (MRT)

    = 0.307 / (0.01 * 0.0821 * 295)

    = 1.27

    When there is no dissociation, i = no. of moles of Hf in 1 L of solution = (1-X)

    and when there is a complete dissociation so it is equal 2X according to this equation

    HF (aq) + H2O (L) ⇆ H3O (aq) + F (aq)

    (1-X) X X

    ∴ i = (1-X) + (2x)

    1.27 = 1+X

    ∴X = 1.27 - 1 = 0.27

    ∴ the percent ionization of the acid X = 27 %
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