Final answer:
To find the final volume after dilution from 34.0% (m/v) to 22.0% (m/v), the initial volume of 0.524 L (or 524 mL) is used in the dilution formula C1V1 = C2V2, resulting in a final volume of approximately 818.18 mL.
Step-by-step explanation:
The student has asked a question regarding dilution which involves finding the final volume of a diluted solution in chemistry. The problem involves changing the percentage concentration of a solution from a higher percentage to a lower one, in this case from 34.0% (m/v) to 22.0% (m/v).
To find the final volume after dilution, we must use the concept of dilution, where the mass of the solute remains constant, while the volume of the solution changes. The dilution formula is C1V1 = C2V2, where C1 and V1 are the initial concentration and volume, and C2 and V2 are the final concentration and volume.
Firstly, we will convert the initial volume from liters to milliliters by multiplying by 1000 (since 1 L = 1000 mL), so 0.524 L becomes 524 mL. Using the dilution formula, we have 34.0% * 524 mL = 22.0% * V2. Solving for V2, we divide both sides by 22.0%, and we get V2 = (34.0% * 524 mL) / 22.0%, which gives us V2 = (0.34 * 524 mL) / 0.22. Calculating this, we find that V2 = 818.18 mL. Thus, the final volume after dilution is 818.18 mL, which is approximately four times the original volume.