Answer:
To one liter of the 0.1 M pyridine you need to add 41 mL of 1,0M HCl to obtain a buffer at 5,2
Explanation:
The reaction is:
pyridine-H⁺ ⇄ pyridine + H⁺ pka = 5,36; k = [tex]10^{-5,36}[/tex]
Using Henderson-Hasselbalch formula:
5,2 = 5,36 + log[tex]\frac{[Py-H^+]}{[Py]}[/tex]
0,692 = [tex]\frac{[Py-H^+]}{[Py]}[/tex] (1)
As total intial moles are 0,1:
0,1 = Py-H⁺ moles + Py moles (2)
Replacing (2) in (1) final moles of both Py-H⁺ and Py are:
Py: 0,059 moles
Thus:
Py-H⁺: 0,041 moles
Moles in reaction are:
Py: 0,1-x moles
H⁺: Y-x moles Y are initial moles of H⁺
Py-H⁺: x moles
Knowing x = 0,041 moles, pyridine volume is 1L and HCl molarity is 1 mol/L and [H⁺] = [tex]10^{-5,2}[/tex]
[tex]10^{-5,2}[/tex] = [tex]\frac{Y-0,041moles}{Y+1L}[/tex]
Y = 0,04100605 moles≡ 41 mL of 1,0M HCl
I hope it helps!