Answer:
![V_(base)=9.442mL](https://img.qammunity.org/2021/formulas/chemistry/college/f9dnzas4e9tws122pditea9pzpw28v70im.png)
Step-by-step explanation:
Hello!
In this case, when acetic acid is titrated with sodium hydroxide, the following chemical reaction is carried out:
![CH_3COOH+NaOH\rightarrow CH_3COONa+H_2O](https://img.qammunity.org/2021/formulas/chemistry/high-school/40zd0502h62s7acz581tdibnldfowbmp9p.png)
Whereas there is a 1:1 mole ratio between the acid and the base, which means that at the equivalence point we evidence:
![n_(acid)=n_(base)](https://img.qammunity.org/2021/formulas/chemistry/high-school/c497c57zrzdor879cbf4fk4lkq1qvciqsi.png)
Which in terms of volumes and concentrations is written as:
![M_(acid)V_(acid)=M_(base)V_(base)](https://img.qammunity.org/2021/formulas/chemistry/high-school/1ui9demeahr6k992l5jslb5aodefwas2xe.png)
Thus, solving for the required volume of base, we obtain:
![V_(base)=(M_(acid)V_(acid))/(M_(base))=(0.1894M*10.00mL)/(0.2006M)\\\\ V_(base)=9.442mL](https://img.qammunity.org/2021/formulas/chemistry/college/7t3go0zwtv4ncof62lyqy34rckj9lujrb4.png)
Best regards!