Answer:
184 mL.
Step-by-step explanation:
The following data were obtained from the question:
Initial volume (V1) = 62.8 mL
Initial concentration (C1) = 167 μM
Final concentration (C2) = 57.0 μM
Final volume (V2) =?
To obtain the final volume of the solution, we shall apply the dilution formula as follow:
C1V1 = C2V2
167 × 62.8 = 57 × V2
10487.6 = 57 × V2
Divide both side by 57
V2 = 10487.6 / 57
V2 = 183.99 ≈ 184 mL
Therefore, chemist must add distilled water to the solution until it reaches a volume of 184 mL.