Question

What is the final volume in milliliters when 0.720 L

of a 41.9 %
(m/v) solution is diluted to 24.6 %
(m/v)?

Answer 1

To find the final volume after dilution, multiply the original volume and concentration, and then divide by the final concentration. After performing the calculation, the final volume of the diluted solution is found to be 1226 mL.

Step-by-step explanation:

The student is asking about the final volume of a diluted solution in milliliters, given the initial volume and concentrations before and after dilution. This is a common type of problem in high school chemistry involving the concept of dilution and mass/volume percent solutions.

To find the final volume of the diluted solution, we can use the formula that relates the mass of the solute (which remains constant before and after dilution) and the volume and concentration of the solutions:

Initial mass = (Initial concentration) × (Initial volume)

Final mass = (Final concentration) × (Final volume)

Because the mass of the solute stays the same during dilution, the initial mass equals the final mass. Thus:

(41.9% × 0.720 L) = (24.6% × Final volume)

Now we solve for the final volume:

Final volume = (41.9% × 0.720 L) / 24.6%

Final volume = (0.419 × 0.720 L) / 0.246 = 1.226 L

Since the question asks for the volume in milliliters, we can convert the final volume from liters to milliliters:

Final volume = 1.226 L × 1000 mL/L = 1226 mL