To determine the volume of a 1.40 M HCl solution needed to prepare 3.00 L of a 0.050 M HCl solution, we can use the equation:
M1V1 = M2V2
Where:
M1 = initial concentration of the HCl solution
V1 = volume of the HCl solution to be used
M2 = final concentration of the HCl solution
V2 = final volume of the HCl solution
Given:
M1 = 1.40 M
V1 = ?
M2 = 0.050 M
V2 = 3.00 L
Substituting these values into the equation:
(1.40 M)(V1) = (0.050 M)(3.00 L)
Solving for V1:
V1 = (0.050 M)(3.00 L) / 1.40 M
Calculating this expression gives:
V1 ≈ 0.107 L
Therefore, you should use approximately 0.107 L (or 107 mL) of the 1.40 M HCl solution to prepare 3.00 L of a 0.050 M HCl solution.