Question

A solution with an initial concentration of 3.0 m and a volume of 25 ml is diluted to the following sets of final volumes. Match each final volume to the correct final concentration.

Answer 1

When a solution is diluted, the amount of solute remains constant. Use the dilution equation C1V1 = C2V2 to find the final concentration. Match the final volumes to the correct final concentrations.

Step-by-step explanation:

When a solution is diluted, the amount of solute remains constant. In this case, the initial concentration is 3.0 M and the initial volume is 25 mL. The final volumes are given as sets of values. To find the final concentration, we can use the dilution equation, which states that C1V1 = C2V2, where C1 is the initial concentration, V1 is the initial volume, C2 is the final concentration, and V2 is the final volume.

Let's match the final volumes to the correct final concentrations:

1. For a final volume of 50 mL, we can find the final concentration using: (3.0 M)(25 mL) = (C2)(50 mL). Solving for C2, we get C2 = 1.5 M.
2. For a final volume of 75 mL, we can find the final concentration using: (3.0 M)(25 mL) = (C2)(75 mL). Solving for C2, we get C2 = 1.0 M.
3. For a final volume of 100 mL, we can find the final concentration using: (3.0 M)(25 mL) = (C2)(100 mL). Solving for C2, we get C2 = 0.75 M.