Question #201291

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

Expert's answer

**Solution:**

The equation for dilution calculations can be used.

where:

c_{1}, V_{1} - the molarity and volume of the concentrated solution

c_{2}, V_{2} - the molarity and volume of the diluted solution

Thus:

(1.41 M) × (57.6 mL) = (1.00 M) × V_{2}

V_{2} = (1.41 M × 57.6 mL) / (1.00 M) = 81.216 mL = 81.2 mL

**V**_{2}** = 81.2 mL**

**Answer: The final volume is 81.2 mL.**

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