A chemist must dilute 36.7 mL of 901. mM aqueous barium chlorate (Ba(CIO3)2) solution until the concentration falls to 681. mM. He'll do this by adding
Calculate this final volume, in milliliters. Be sure your answer has the correct number of significant digits.
To find the final volume, we can use the formula for dilution:
C1V1 = C2V2
Where:
C1 = initial concentration = 901. mM
V1 = initial volume = 36.7 mL
C2 = final concentration = 681. mM
V2 = final volume
Plugging in the values:
901. mM * 36.7 mL = 681. mM * V2
32936.7 = 681 * V2
V2 = 32936.7 / 681
V2 ≈ 48.32 mL
Therefore, the final volume needed to dilute the solution to 681. mM concentration is approximately 48.32 mL.