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
Step-by-step explanation:
The reaction is:
pyridine-H⁺ ⇄ pyridine + H⁺ pka = 5,36; k =
![10^(-5,36)](https://img.qammunity.org/2020/formulas/chemistry/college/sg1nmj3b25hnnrta2dqe9ifv77z5icuuu6.png)
Using Henderson-Hasselbalch formula:
5,2 = 5,36 + log
![([Py-H^+])/([Py])](https://img.qammunity.org/2020/formulas/chemistry/college/nt6vm36wwgs6rlbzj57ed7ayotrynxlpwa.png)
0,692 =
(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⁺] =
![10^(-5,2)](https://img.qammunity.org/2020/formulas/chemistry/college/jo8majfejt1bpoxf0yerekfhios8qlhxkc.png)
=
![(Y-0,041moles)/(Y+1L)](https://img.qammunity.org/2020/formulas/chemistry/college/kar7nw8lkufbbpwzdrla56dw5knedhkpqf.png)
Y = 0,04100605 moles≡ 41 mL of 1,0M HCl
I hope it helps!