A chemist must dilute 57.6 ml of 1.41 M aqueous barium acetate (Ba(C,H,02), solution until the concentration falls to 1.00 M. He'll do this by adding distilled water to the solution until it reaches a certain final volume. Calculate this final volume, in mililiters. Be sure your answer has the correct number of significant digit mL
Solution:
The equation for dilution calculations can be used.
where:
c1, V1 - the molarity and volume of the concentrated solution
c2, V2 - the molarity and volume of the diluted solution
Thus:
(1.41 M) × (57.6 mL) = (1.00 M) × V2
V2 = (1.41 M × 57.6 mL) / (1.00 M) = 81.216 mL = 81.2 mL
V2 = 81.2 mL
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Answer: The final volume is 81.2 mL.
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