[NH₄⁺] = 1.64 × 10⁻³ M
Explanation:
We have the following chemical equilibrium:
NH₃ + H₂O ⇔ NH₄⁺ + H O⁻
Kb is defined:
Kb = ( [NH₄⁺] × [H O⁻] ) / [NH₃]
and if we rearrange the therms:
Kb × [NH₃] = [NH₄⁺] × [H O⁻]
[NH₄⁺] × [H O⁻] = Kb × [NH₃]
The concentration of ammonium ion [NH₄⁺] is equal to the concentration of hydroxide ion [H O⁻]. Taking this in account we get:
[NH₄⁺]² = Kb × [NH₃]
[NH₄⁺]² = 1.80 × 10⁻⁵ × 0.150
[NH₄⁺] = √ (1.80 × 10⁻⁵ × 0.15)
[NH₄⁺] = 1.64 × 10⁻³ M
Learn more about:
problems with acid and bases
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