Answer
364.58 mL
Explanation
Given:
Molarity of the stock solution, C₁ = 12.0 M
Molarity of the HCl solution, C₂ = 1.75 M
Volume of the HCl solution, V₂ = 2.5 L
What to find:
The volume of the stock solution, V₁ needed to make 2.5L of a 1.75M HCI solution.
Solution:
The volume of the stock solution V₁ needed to make 2.5L of a 1.75M HCI solution can be calculated using the dilution formula.
[tex]\begin{gathered} C_1V_1=C_2V_2 \\ \\ V_1=\frac{C_2V_2}{C_1} \\ \\ V_1=\frac{1.75M\times2.5L}{12.0M}=\frac{4.375L}{12.0}=0.36458\text{ }L \\ \\ Converting\text{ }L\text{ }to\text{ }mL, \\ \\ V_1=0.036458\times1000\text{ }mL \\ \\ V_1=364.58\text{ }mL \end{gathered}[/tex]The volume of the stock solution, V₁ needed to make 2.5L of a 1.75M HCI solution is 364.58 mL
