Respuesta :
Answer is: the % ionization of hypochlorous acid is 0.14.
Balanced chemical reaction (dissociation) of an aqueous solution of hypochlorous acid:
HClO(aq) ⇄ H⁺(aq) + ClO⁻(aq).
Ka = [H⁺] · [ClO⁻] / [HClO].
[H⁺] is equilibrium concentration of hydrogen cations or protons.
[ClO⁻] is equilibrium concentration of hypochlorite anions.
[HClO] is equilibrium concentration of hypochlorous acid.
Ka is the acid dissociation constant.
Ka(HClO) = 3.0·10⁻⁸.
c(HClO) = 0.015 M.
Ka(HClO) = α² · c(HClO).
α = √(3.0·10⁻⁸ ÷ 0.015).
α = 0.0014 · 100% = 0.14%.
The percent ionization of the solution is 0.14%.
- The equation of the reaction is;
HClO(aq) ⇄ H^+(aq) + ClO^-(aq)
I 0.015 0 0
C -x +x +x
E 0.015 - x x x
- Now the Ka of the solution is obtained from;
Ka = [ H^+] [ClO^-]/[HClO]
3.0 x 10^-8= x^2/ 0.015 - x
3.0 x 10^-8(0.015 - x) = x^2
4.5 x 10^-10 - 3.0 x 10^-8x = x^2
x^2 + 3.0 x 10^-8x - 4.5 x 10^-10 = 0
x = 0.000021 M
- Percent ionization = 0.000021 M/0.015 M × 100/1
Percent ionization = 0.14%
Hence, the percent ionization of the solution is 0.14%.
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