Final answer:
Approximately 2666.67 millilitres (or 2.67 litres) of 5.0 M copper (II) sulfate solution must be added to 160 mL of water to achieve a 0.30 M copper (II) sulfate solution.
Step-by-step explanation:
To solve this problem, we can use the dilution formula:
C1V1 = C2V2
Here, C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.
Given:
Initial volume (V1) = 160 mL
Desired final concentration (C2) = 0.30 M
We can rearrange the equation to find the required volume (V2) of 5.0 M copper (II) sulfate solution:
V2 = (C1 * V1) / C2
Substituting the given values:
V2 = (5.0 M * V1) / 0.30 M
Now, we can plug in the values and calculate:
V2 = (5.0 M * 160 mL) / 0.30 M = 2666.67 mL
Therefore, approximately 2666.67 millilitres (or 2.67 litres) of 5.0 M copper (II) sulfate solution must be added to 160 mL of water to achieve a 0.30 M copper (II) sulfate solution.