Answer
(e) 6.20
Step-by-step explanation
The pH of the solution can be calculated using the formula below:
![pH=(1)/(2)pKa-(1)/(2)log\text{ }c](https://img.qammunity.org/2023/formulas/chemistry/college/iudsqd9la119715t2mhelo0bany45teqol.png)
Note that:
![pKa=-log\text{ }Ka](https://img.qammunity.org/2023/formulas/chemistry/college/ai60ri6kdt6yws0aay7fjfza966m8vh3aw.png)
Put Ka = 4.5 x 10⁻¹³ into the pKa formula:
![pKa=-log(4.5*10^(-13))=12.35](https://img.qammunity.org/2023/formulas/chemistry/college/1ejalfxmukmpenhrbk1733bkmiiy0dr8l4.png)
Put pKa = 12.35 and c = 0.90 into the pH formula above:
![\begin{gathered} pH=(1)/(2)(12.35)-(1)/(2)(log\text{ }0.90) \\ \\ pH=6.175-(1)/(2)(-0.0458) \\ \\ pH=6.175+0.0229 \\ \\ pH=6.1979 \\ \\ pH\approx6.20 \end{gathered}](https://img.qammunity.org/2023/formulas/chemistry/college/uxia1v6nay7vsw20p7mim311srp00p5128.png)
The pH = 6.20
The correct option is (e) 6.20