Question

A chemist must dilute 32.2 mL of 1.98 M aqueous sodium carbonate (Na, COz) 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 milliliters. Be sure your answer has the correct number of significant digits.

Answer 1

To dilute the solution, we can use the formula for dilution:

M1V1 = M2V2

Where:
M1 = initial molarity = 1.98 M
V1 = initial volume = 32.2 mL
M2 = final molarity = 1.00 M
V2 = final volume

Plugging in the values:

(1.98 M)(32.2 mL) = (1.00 M)(V2)

V2 = (1.98 M * 32.2 mL) / ( 1.00 M)
V2 = 63.96 mL

Therefore, the final volume of the solution after dilution is 64 mL.