Answer:
The volume of the potassium hydroxide solution was 164.1 mL
Step-by-step explanation:
In the equivalence point of a titration between an acid an a base, the moles of H⁺ are equal to the moles of OH⁻.
In the case of potassium hydroxide (KOH) and hydrochloric acid (HCl), an equation that represents the equivalence point would be:
![V_(KOH)*M_(KOH)= V_(HCl)*M_(HCl)](https://img.qammunity.org/2020/formulas/chemistry/college/uip0clb0twpxxtv52kbpnsrairq7oep5p7.png)
Using that equation and the data given in the problem, we can calculate the volume of potassium hydroxide:
![0.723M* V_(KOH)= 79.1mL*1.50 M\\V_(KOH)=(79.1mL*1.50 M)/(0.723 M) \\V_(KOH)=164.1mL](https://img.qammunity.org/2020/formulas/chemistry/college/39rsm7x95jk72x4in5f1ajq0ws6shsf4nz.png)