Answer : The pH of buffer is 9.06.
Explanation : Given,
[tex]pK_a=8.64[/tex]
Concentration of HBrO = 0.34 M
Concentration of KBrO = 0.89 M
Now we have to calculate the pH of buffer.
Using Henderson Hesselbach equation :
[tex]pH=pK_a+\log \frac{[Salt]}{[Acid]}[/tex]
[tex]pH=pK_a+\log \frac{[KBrO]}{[HBrO]}[/tex]
Now put all the given values in this expression, we get:
[tex]pH=8.64+\log (\frac{0.89}{0.34})[/tex]
[tex]pH=9.06[/tex]
Therefore, the pH of buffer is 9.06.