The concentration of hydroxide ion is 6.7 × 10⁻¹⁰ M.
Water dissociates and forms an equilibrium reaction to give its ionic products hydronium ion and hydroxide ion. The reaction is given as:
H₂O + H₂O ⇄ H₃O⁺ + OH⁻
The ionic product of water is referred to as Kw, whose value is
Kw = 1 × 10⁻¹⁴ M²
And Kw is equal to the product of the hydroxide ion and hydronium ion concentration.
Kw = [H₃O⁺ ] [OH⁻]
We are given, the hydronium ion concentration is 1.5 × 10⁻⁵ M
So, hydroxide ion concentration can be calculated as:
Kw = [H₃O⁺ ] [OH⁻]
[OH⁻] = Kw/ [H₃O⁺ ]
[OH⁻] = 1 × 10⁻¹⁴ M² / 1.5 × 10⁻⁵ M
[OH⁻] = 6.7 × 10⁻¹⁰ M
Thus, the concentration of hydroxide ion is 6.7 × 10⁻¹⁰ M
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