A chemist must prepare of aqueous copper(II) sulfate working solution. He'll do this by pouring out some aqueous copper(II) sulfate stock solution into a graduated cylinder and diluting it with distilled water. Calculate the volume in of the copper(II) sulfate stock solution that the chemist should pour out. Be sure your answer has the correct number of significant digits.

A chemist must prepare 925 mL of 325 mM aqueous copper(II) sulfate working solution. He'll do this by pouring out some 0.792 M aqueous copper(II) sulfate stock solution into a graduated cylinder and diluting it with distilled water. Calculate the volume in mL of the copper(II) sulfate stock solution that the chemist should pour out. Be sure your answer has the correct number of significant digits.

Step 1: Given data

Initial concentration (C₁): 0.792 M

Initial volume (V₁): ?

Final concentration (C₂): 325 mM

Final volume (V₂): 925 mL

Step 2: Convert "C₂" to M

We will use the conversion factor 1 M = 1000 mM.

325 mM × (1 M/1000 mM) = 0.325 M

Step 3: Calculate the inital volume

We will use the dilution rule.

C₁ × V₁ = C₂ × V₂

V₁ = C₂ × V₂/C₁

V₁ = 0.325 M × 925 mL/0.792 M

V₁ = 380 mL