Final answer:
To make a solution with a concentration of 8.50 mol/L using a stock solution with a concentration of 7.25 mol/L, a volume of 4.51 L is needed.
Step-by-step explanation:
To calculate the volume of the stock solution needed to make the desired concentration, we can use the formula:
C1V1 = C2V2
where C1 and V1 are the concentration and volume of the stock solution, and C2 and V2 are the concentration and volume of the desired solution.
Plugging in the values, we get:
(7.25 mol/L)(V1) = (8.50 mol/L)(3.84 L)
After rearranging the equation, we find that the volume of the stock solution needed is:
V1 = (8.50 mol/L)(3.84 L) / (7.25 mol/L) = 4.51 L