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27 May, 13:54

An aqueous solution at 25∘C has a hydronium ion concentration of 3.2*10-9 M. What is the hydroxide ion concentration of the solution? Write your answer in scientific notation. Use the multiplication symbol rather than the letter x in your answer. Report your answer two significant figures.

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  1. 27 May, 16:40
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    3.1 * 10⁻⁶ M

    Explanation:

    One water molecule can react as a base while other water molecule acts as an acid to form and hydronium ion and a hydroxide ion.

    H₂O (l) + H₂O (l) ⇄ H₃O⁺ (aq) + OH⁻ (aq)

    The equilibrium constant (Kw), known as the ionic product of water, has the following form:

    Kw = [H₃O⁺] * [OH⁻]

    The value of Kw at 25°C is 1.0 * 10⁻¹⁴.

    An aqueous solution at 25°C has a hydronium ion concentration of 3.2 * 10⁻⁹ M. The hydroxide concentration is:

    Kw = [H₃O⁺] * [OH⁻]

    1.0 * 10⁻¹⁴ = 3.2 * 10⁻⁹ * [OH⁻]

    [OH⁻] = 3.1 * 10⁻⁶ M
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