To create a 1:2400 solution from a 1:1000 stock solution, how much of the stock solution is required for 360 mL?

To determine how much of the 1:1000 stock solution is required to prepare a 1:2400 solution in a final volume of 360 mL, one must understand the concept of dilution and the relationships among concentrations.

First, it’s essential to convert the desired concentration and stock concentration into a more comparable format. A 1:1000 solution means that in one liter (1000 mL) of solution, there is 1 part of the solute. Therefore, the concentration can be thought of in terms of how many mL of the stock solution one would use.

To create a 1:2400 solution, we can establish a relationship for dilution where the concentration of the stock solution (C1) and the diluted solution (C2) relate to the volumes (V1 for stock and V2 for the final solution):

[ C1 \times V1 = C2 \times V2 ]

In this formula:

• ( C1 = \frac{1}{1000} )

• ( C2 = \frac{1}{2400} )

• ( V2 = 360 , \text{mL} )

To find ( V1 ), which