Answer:
pH = 13.1
Step-by-step explanation:
Hello there!
In this case, according to the given information, we can set up the following equation:
![HCl+KOH\rightarrow KCl+H_2O](https://img.qammunity.org/2022/formulas/chemistry/college/sro69ho6cl5r2a0vymhr37ilemozqoqk3a.png)
Thus, since there is 1:1 mole ratio of HCl to KOH, we can find the reacting moles as follows:
![n_(HCl)=0.012L*0.16mol/L=0.00192mol\\\\n_(KOH)=0.032L*0.24mol/L=0.00768mol](https://img.qammunity.org/2022/formulas/chemistry/college/pl5mde52o4vj0zk6r7x1blysvvux7w688k.png)
Thus, since there are less moles of HCl, we calculate the remaining moles of KOH as follows:
![n_(KOH)=0.00768mol-0.00192mol=0.00576mol](https://img.qammunity.org/2022/formulas/chemistry/college/axk3qxhew1r762c3fza4wjyma759gq4d71.png)
And the resulting concentration of KOH and OH ions as this is a strong base:
![[KOH]=[OH^-]=(0.00576mol)/(0.012L+0.032L)=0.131M](https://img.qammunity.org/2022/formulas/chemistry/college/3lrphpgungxsh99swrhcwjcixph5gp88je.png)
And the resulting pH is:
![pH=14+log(0.131)\\\\pH=13.1](https://img.qammunity.org/2022/formulas/chemistry/college/i083ek8lcwjszygel4btuba53mhnqnd514.png)
Regards!