concentration of KOH = 5.6mg/L = 5.6mg/dm³
5.6mg if KOH = 5.6×10-³/56 mol = 1 × 10-⁴ moles
Therefore,the concentration of KOH = 1×10-⁴moles/dm³ = 10-4M
Now as pH is molar concentration of hydrogen ions of a specie, so we need to know molar concentration of hydroxide ion
"KOH \\to K^+ + OH^-"
Therefore the concentration of the hydroxide ions is 10-⁴M.
Using the formula pOH = -log[OH-] = -log(10-4) = 4
but pH + pOH = 14
pH = 14 - 4 = 10
Therefore the pH of the potassium hydroxyl is 10
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