A chemist must dilute 54.9 ml. of 9.84 M aqueous sodium nitrate (NaNO3) solution until the concentration falls to 4.00 M. She'll do this by adding distilled water to the solution until it reaches a certain final volume.

Question

Calculate this final volume, in liters. Be sure your answer has the correct number of significant digits.

Answer 1

To calculate the final volume of the solution, we can use the formula for dilution:

M1V1 = M2V2

where:
M1 = initial concentration of the solution = 9.84 M
V1 = initial volume of the solution = 54.9 ml = 0.0549 L
M2 = final concentration of the solution = 4.00 M
V2 = final volume of the solution (what we need to calculate)

Plugging in the values:

(9.84 M)(0.0549 L) = (4.00 M)(V2)

0.5416 = 4.00V2

V2 = 0.5416 / 4.00
V2 = 0.1354 L

Therefore, the final volume of the solution, when diluted to a concentration of 4.00 M, is 0.1354 liters.