To what final volume should you dilute 60.0 of a 5.20M KI solution so that 40.0 of the diluted solution contains 3.15 of KI ?

no units.

To find the final volume, we can use the concept of dilution. The formula for dilution is:

M1V1 = M2V2

Where:
M1 = initial molarity
V1 = initial volume
M2 = final molarity
V2 = final volume

Let's plug in the given values into the formula to find the final volume:

M1 = 5.20 M (initial molarity)
V1 = 60.0 mL (initial volume)
M2 = 3.15 M (final molarity)
V2 = unknown (final volume)

The formula becomes:

(5.20 M) * (60.0 mL) = (3.15 M) * (V2)

Now we can solve for V2:

312.0 mL = 3.15 M * V2

To isolate V2, we divide both sides by 3.15 M:

V2 = 312.0 mL / 3.15 M
V2 ≈ 98.73 mL

Therefore, you should dilute the 60.0 mL of a 5.20 M KI solution to a final volume of approximately 98.73 mL.