Question

Determine the pH of a 0.048 M hypochlorous acid (HClO) solution. Hypochlorous acid is a weak acid (Ka = 4.0 ✕ 10−8 M).

Answer 1

pH of 0.048 M HClO is 4.35.

Step-by-step explanation:

HClO is a weak acid and it is dissociated as,

HClO ⇄ H⁺ + ClO⁻

We can write the equilibrium expression as,

Ka =
`$([H^(+)] [ClO^(-)] )/([HClO])`

Ka = 4.0 × 10⁻⁸ M

4.0 × 10⁻⁸ M =
`$(x * x )/(0.048)`

Now we can find x by rewriting the equation as,

x² = 4.0 × 10⁻⁸ × 0.048

= 1.92 × 10⁻⁹

Taking sqrt on both sides, we will get,

x = [H⁺] = 4.38 × 10⁻⁵

pH = -log₁₀[H⁺]

= - log₁₀[ 4.38 × 10⁻⁵]

= 4.35