Question

Solve the problem. A new solution is often made using a stock solution from the shelf and diluting it to the proper strength. The formula \( V 1 C 1=V 2 C 2 \) expresses the relationship between the s

Answer 1

To prepare a diluted solution, we use the dilution equation V1C1 = V2C2, which allows us to calculate the volume of stock solution needed by rearranging it to V1 = (C2V2)/C1.

Step-by-step explanation:

The process of preparing a diluted solution from a stock solution involves using the dilution equation V1C1 = V2C2, where V1 and C1 are the volume and concentration of the stock solution respectively, and V2 and C2 are the volume and concentration of the diluted solution respectively. The equation tells us that the product of the concentration and the volume before dilution (stock solution) is equal to the concentration and volume after dilution (diluted solution).

To find the volume of stock solution needed (V1), we rearrange the equation to V1 = (C2V2)/C1. This means that the volume of the stock solution is equal to the concentration of the diluted solution times its volume, divided by the concentration of the stock solution. If we are given V2 and C2, and the stock solution's concentration C1, we can calculate the required volume of the stock solution.