Calculate the pH at the stoichiometric point when 50 mL of 0.090 M pyridine is titrated with 0.32 M HCl.
moles of C5H5N = molarity x volume
= 0.090 mol/L x 0.0500 L
= 0.00450 mol
moles of HCl required to reach the equivalence point
= 0.00450 mol
Volume of HCl = 0.00450 mol / 0.32 M = 0.0140625 L
total volume = 0.0500 + 0.0140625 =0.0640625 L
Moles of C5H5NH+ formed = 0.00450 mol
[C5H5NH+] = 0.00450 mol / 0.0640625 L = 0.0702 M
C5H5NH+ <=> C5H5N + H+
Ka = Kw/Kb = 1.0 x 10^-14 / 1.7 x 10^-9
=5.9 x 10^-6
Equilibrium constant expression of the reaction
Ka = [C5H5N] [H+] /[C5H5NH+]
5.9 x 10^-6 = x^2 / 0.0702-x
x = [H+]= 0.000644 M
pH = - log [H+] = - log (0.000644)
pH = 3.19
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