Hi there,
In the given figure they clearly mentioned at half-way to the equivalence point pH = pKa (dotted line and mentioning This pH = pKa) , this means at half-way point the concentration of weak acid = conjugate base, so that log[conjugate base / weak acid] term becomes zero in Henderson-Hasselbalch equation
pH = pKa + log[conjugate base / weak acid] = pka + 0 = pKa
pH = pKa
but Ka = 10^-pKa = 10^-pH = 10^-3.86 = 0.00013803842 = 1.38 x 10^-4
so Ka = 1.38 x 10^-4 (OR) simply in scientific notation 1.38E-04
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