Answer : The pH of buffer is 9.06.
Explanation : Given,
![pK_a=8.64](https://img.qammunity.org/2020/formulas/chemistry/college/b29chm2zu4o29m63f6uwe2nm4rg4uy3s4x.png)
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 :
![pH=pK_a+\log ([Salt])/([Acid])](https://img.qammunity.org/2020/formulas/chemistry/college/6wyuhr9b7n0qwlgrnwgg688yylfbvv3wby.png)
![pH=pK_a+\log ([KBrO])/([HBrO])](https://img.qammunity.org/2020/formulas/chemistry/college/1vpagkwbfjpvhhf3q186et3j0r1huemc69.png)
Now put all the given values in this expression, we get:
![pH=8.64+\log ((0.89)/(0.34))](https://img.qammunity.org/2020/formulas/chemistry/college/oy57mshesv36x7aldoeeqw772bh4vv3fxg.png)
![pH=9.06](https://img.qammunity.org/2020/formulas/chemistry/college/9nhjehgvdxtpg02t6gljai9p2pihlt9b9k.png)
Therefore, the pH of buffer is 9.06.