Answer:
pH=10.88
Step-by-step explanation:
Hello,
In this case, since potassium hydroxide is completely dissociated as shown below:
![KOH\rightarrow K^++OH^-](https://img.qammunity.org/2021/formulas/chemistry/high-school/tm6inssg5uud0yl626ystjedhm94zh9pz6.png)
For which we understand it is a base, more specifically, a strong base; it means that the concentration of the OH⁻ equals the concentration of the potassium hydroxide, that is 0.000765M, for that reason we can directly compute the pOH:
![pOH=-log([OH^-])=-log(0.000765)=3.12](https://img.qammunity.org/2021/formulas/chemistry/college/sq9xa84p3ayjxxxu21oaz5rregb7ddycz8.png)
Finally, since the pOH and the pH are related by:
![pOH+pH=14](https://img.qammunity.org/2021/formulas/chemistry/college/k3ss9qjr9tne41x422hpddalkaa98z5xsx.png)
The pH turns out:
![pH=14-3.12\\pH=10.88](https://img.qammunity.org/2021/formulas/chemistry/college/j9ebyvkjddu2ygtt4imkfxm5xl1zzv1jah.png)
Best regards.