You would like to make a 100 mL buffer solution at pH 8.00. Assuming you would like to accomplish this with a hypochlorous acid (HOCl) buffer (HOCl/NaOCl), Ka= 3.0 * 10-8. If the solution is 0.3 M in HOCl, what concentration of NaOCl would be necessary in the buffer solution to obtain a pH of 8.0?

Respuesta :

Answer:

To obtain the pH of 8.0, the concentration of NaOCl needs to be 0.9 M in the 0.3 M HOCl solution

Explanation:

This problem can be solved by Henderson-Hasselbalch equation, which gives relation between the concentration of acid, its salt, pKa and the pH of the solution. This equation is given as,

[tex]pH=-log(K_a)+log\frac{[NaOCl]}{[HOCl]}[/tex]

By placing the known variables in the above equation we get,

[tex]8=-log(3\times10^{-8})+log\frac{[NaOCl]}{0.3}[/tex]

[tex]8-7.52=log\frac{[NaOCl]}{[0.3]}[/tex]

[tex]10^{0.48}=\frac{[NaOCl]}{0.3}[/tex]

[tex][NaOCl]=10^{0.48}\times{0.3}[/tex]

[tex][NaOCl]=0.9 M[/tex]

The above calculations show that the required concentration of NaOCl is 0.9 M.