Answer:
![pH=10.5](https://img.qammunity.org/2021/formulas/chemistry/college/8x2660hjx61mcl0a3o3al3ijauojgyruo8.png)
Step-by-step explanation:
Hello,
In this case, the dissociation of the given weak acid is:
![HA\rightleftharpoons H^++A^-](https://img.qammunity.org/2021/formulas/chemistry/high-school/er9toj5jnt09dy6am6w2ds8jl5871xbxag.png)
Therefore, the law of mass action for it turns out:
![Ka=([H^+][A^-])/([HA])](https://img.qammunity.org/2021/formulas/chemistry/college/kzt7pcnoonz2fwfrgadywivsijtflo2dmk.png)
That in terms of the change
due to the reaction extent is:
![1x10^(-23)=(x*x)/(0.1-x)](https://img.qammunity.org/2021/formulas/chemistry/college/frsls0lry141vaaqnme7th1n5a05vm1iam.png)
Thus, by solving with the quadratic equation or solver, we obtain:
![x=31.6x10^(-12)M](https://img.qammunity.org/2021/formulas/chemistry/college/dy2srgdfpj463jfgv5ugnouuu3ptvog4vn.png)
Which clearly matches with the hydrogen concentration in the solution, therefore, the pH is:
![pH=-log(-31.6x10^(-12))\\pH=10.5](https://img.qammunity.org/2021/formulas/chemistry/college/m958sixubm24pd8aoijb0g09o4od5bzikz.png)
Regards.