(1) The solubility of Salt AB2(S) IS 5mol/dm^3. a. Obtain an expression for the solubility product of AB2(S),in terms of s. b. C

Question

(1) The solubility of Salt AB2(S) IS 5mol/dm^3.
a. Obtain an expression for the solubility product of AB2(S),in terms of s.
b. Calculate the Ksp of AB2,given that solubility is 2.4×10^3mol/dm^3

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Thái Dương 3 years 2021-07-16T02:07:01+00:00 1 Answers 11 views 0

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  1. thienthi
    0
    2021-07-16T02:08:49+00:00
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    Answer:

    a. Ksp = 4s³

    b. 5.53 × 10⁴ mol³/dm⁹

    Explanation:

    a. Obtain an expression for the solubility product of AB2(S),in terms of s.

    AB₂ dissociates to give

    AB₂ ⇄ A²⁺ + 2B⁻

    Since 1 mole of AB₂ gives 1 mole of A and 2 moles of B, we have the mole ratio as

    AB₂ ⇄ A²⁺ + 2B⁻

    1 : 1 : 2

    Since the solubility of AB₂ is s, then the solubility of A is s and that of B is 2s

    So, we have

    AB₂ ⇄ A²⁺ + 2B⁻

    [s]        [s]    [2s]

    So, the solubility product Ksp = [A²⁺][B⁻]²

    = (s)(2s)²

    = s(4s²)

    = 4s³

    b. Calculate the Ksp of AB₂, given that solubility is 2.4 × 10³ mol/dm³

    Given that the solubility of AB is 2.4 × 10³ mol/dm³ and the solubility product Ksp = [A²⁺][B⁻]² = 4s³ where s = solubility of AB = 2.4 × 10³ mol/dm³

    Substituting the value of s into the equation, we have

    Ksp = 4s³

    = 4(2.4 × 10³ mol/dm³)³

    = 4(13.824 × 10³ mol³/dm⁹)

    = 55.296 × 10³ mol³/dm⁹

    = 5.5296 × 10⁴ mol³/dm⁹

    ≅ 5.53 × 10⁴ mol³/dm⁹

    Ksp = 5.53 × 10⁴ mol³/dm⁹

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