If you have a 12M container of HCl avaliable. How much of this solution is needed to make up a 5.0L solution of 0.10M concentration?
To determine how much of the 12M HCl solution is needed to make a 5.0L solution of 0.10M concentration, we can use the formula:
C1V1 = C2V2
Where:
C1 = initial concentration of the solution (12M)
V1 = volume of the initial solution needed (unknown)
C2 = final desired concentration of the solution (0.10M)
V2 = final desired volume of the solution (5.0L)
Now, let's solve for V1:
V1 = (C2 × V2) ÷ C1
Plugging in the values:
V1 = (0.10M × 5.0L) ÷ 12M
V1 = (0.50L) ÷ 12
V1 ≈ 0.042L or 42mL
Therefore, approximately 42mL of the 12M HCl solution is needed to make a 5.0L solution of 0.10M concentration.