Answer: 125 mL
Explanation:
Hi! In order to solve this problem, we must calculate molar values after mixing two solutions and set them equal.
Formula: [tex]\[\fbox{$M_1V_1 = M_2V_2$}\][/tex]
Where:
- [tex]\item \(M_1\) = concentration of the concentrated solution[/tex]
- [tex]\item \(V_1\) = volume of the concentrated solution[/tex]
- [tex]\item \(M_2\) = concentration of the diluted solution[/tex]
- [tex]\item \(V_2\) = volume of the diluted solution[/tex]
Since we are solving for the volume of the 10M HCl and we are given all the other information, we can begin solving.
Solving:
[tex]\[10 \, \text{M} \cdot V_1 = 5 \, \text{M} \cdot 250 \, \text{ml}\][/tex]
[tex]V_1 = \frac{5 \, \text{M} \cdot 250 \, \text{ml}}{10 \, \text{M}}[/tex]
[tex]~~V_1 = \frac{5 \times 250}{10} \, \text{ml}~~[/tex]
[tex]\[\fbox{$V_1 = 125 \, \text{ml}$}\][/tex]
That's it!
