Calculate the pH of a weak acid solution quadratic equation

Calculate the pH of a weak acid solution (quadratic equation).

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Calculate the pH of a 0.182 M aqueous solution of chlorous acid (HClO2, Ka = 1.1×10-2) and the equilibrium concentrations of the weak acid and its conjugate base.

pH = _______________
[HClO2]equilibrium = _______________ M
[ClO2- ]equilibrium = ________________M

Solution

HClO2 + H2O <===> H3O^+(aq) + ClO2^-(aq)

Ka = [H3O+][ClO2^-] /[HClO2 ]

[H3O+] = [ClO2^-]

[H3O+]^2 = Ka x [HClO2] => 1.1*10^-2 * 0.182

[H3O^+] = 0.0447 M

pH = - log (0.0447)

pH = 1.35

At equilibrium [ClO2^-] = 0.0447 M

At equilibrium [HClO2] = 0.182 - 0.0447 => 0.1373 M

Calculate the pH of a weak acid solution (quadratic equation). Close Problem Calculate the pH of a 0.182 M aqueous solution of chlorous acid (HClO2, Ka = 1.1×10

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