Answer:
The pH of the solution is 9.46
Explanation:
C₅H₅N + H₂O ⇌ C₅H₅NH+OH⁻
I 0.46
C - x +x +x
E 0.46 - x
-LogKb = Pkb
[tex]Kb =10^{[-PKb]} = 10^{[-8.75]} = 1.778 X 10^{-9}[/tex]
[tex]Kb = \frac{[C5H5NH][OH^-]}{[C5H5N]}[/tex]
[tex]1.778 X10^{-9}= \frac{X^2}{0.46-X} \\\\X^2 = 8.1788 X 10^{-10} - 1.778 X10^{-9}X\\\\X^2 + 1.778 X10^{-9}X -8.1788 X 10^{-10}\\\\X = 2.85977 X 10^{-5} = [OH^-][/tex]
pOH = -Log[OH⁻]
pOH = -Log [2.85977 x 10⁻⁵]
pOH = 4.54
pOH + pH = 14
pH = 14 - pOH
pH = 14 - 4.54
pH = 9.46
Therefore, the pH = 9.46