A solution of household bleach contains 5.25

Asked by maham237 @ in Chemistry viewed by 270 People

sodium hypochlorite, NaOCl, by mass. Assuming that the density of bleach is the same as water, calculate the volume of household bleach that should be diluted with water to make 500.0 mL of a pH = 10.26 solution. Use the Ka of hypochlorous acid found in the chempendix. Ka=4.0×10–8

Answered by maham237 @


Chemical reaction 1: NaClO(aq) → Na⁺(aq) + ClO⁻(aq).
Chemical reaction 2: ClO⁻(aq) + H₂O(l) ⇄ HClO(aq)+ OH⁻(aq).
ω(NaClO) = 5,25% ÷ 100% = 0,0525.
d(H₂O) = 1g/mL.
m(NaClO) = 0,0525 · 1 g/ml · 1000 ml = 52,5 g in 1 L.
n(NaClO) = 52,5 g ÷ 74,44 g/mol = 0,705 mol.
c₁(NaClO) = 0,705 M.
pH = 10,26.
pH + pOH = 14.
pOH = 14 - 10,26 = 3,74.
[OH⁻] = [HClO] = 10∧(-3,74) = 1,8·10⁻⁴ M.
Ka(HClO) = 4·10⁻⁸.
Ka · Kb = 10⁻¹⁴.
Kb(ClO⁻) = 2,5·10⁻⁷.
Kb(ClO⁻) = [OH⁻] · [HClO] / [ClO⁻].
2,5·10⁻⁷ = (1,8·10⁻⁴ M)² / [ClO⁻].
[ClO⁻] = [NaClO] = c₂(NaClO) = 0,1296 M.
V₂ = 500 mL.
c₁V₁ = c₂V₂.
V₁ = 0,1296 M · 500 mL ÷ 0,705 M.
V₁(NaClO) = 91,9 mL.

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