A 0.22 −mol sample of a weak acid with an unknown pKa was combined with 12.0 mL of 3.20 M KOH and the resulting solution was diluted to 1.500 L. The measured pH of the solution was 3.90. What is the pka of the weak acid?

Respuesta :

Answer:

pka of the weak acid = 4.64

Explanation:

pH of solution is calculated by using Henderson - Hasselbalch equation

                     [tex]pH=pKa+log(\frac{[A^{-} ]}{[HA]} )[/tex]  --------------------(i)

             [tex]Moles of KOH =\frac{12}{1000} X3.2=0.0384[/tex]

                HA  + KOH    ⇄    HK + H₂O

Initial    0.25       0.0384         0      0

Equm.   0.2116       0             0.0384

From equation (i)

[tex]pKa = pH - log(\frac{[A^{-} ]}{[HA]} )\\\\ =3.9 - log(\frac{0.0384}{0.2116} )\\\\= 3.9 - log (0.18)\\\\= 3.9+0.74\\\\=4.64[/tex]