Answer :
At volume 6.78ml, pH will be equal to pKa of the acid.
According to the Henderson- Hasselbach equation,
pH= pKa + log {A-}/ {HA}
where {A-} is the concentration of conjugate base and
{HA} is the concentration of weak acid
At the equivalence point, the volume of base added is just enough to exactly neutralize all the acid.
At one half of this volume of added base, called the half equivalence point, enough has been added to neutralize half of the acid. Since, half of the acid reacted to form A-, the concentration of A- and HA-, at the half equivalence point are the same.
ph= PKA+log1
pH= pKa (log1=0)
Therefore, V eq = 13.57ml
V 1/2 eq= 13.57/2
=6.78ml
Hence, at volume 6.78ml, pH will be equal to pKa of the acid.
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