High School

A student combined 37.2 mL of a 1.69 M KMnO₄ solution with 17.90 mL of a 0.891 M KMnO₄ solution. What is the concentration of the final solution?

a) 1.08 M
b) 1.50 M
c) 1.75 M
d) 2.25 M

Answer :

Final answer:

To find the concentration of the final solution, you'll need to use the formula: C1V1 + C2V2 = C3V3. Solving for C3, we find that the concentration of the final solution is approximately 1.50 M.

Explanation:

To find the concentration of the final solution, you'll need to use the formula:

C1V1 + C2V2 = C3V3

Where C1 is the concentration of the first solution, V1 is the volume of the first solution, C2 is the concentration of the second solution, V2 is the volume of the second solution, C3 is the concentration of the final solution, and V3 is the volume of the final solution. Plug in the known values:

  1. C1 = 1.69 M
  2. V1 = 37.2 mL
  3. C2 = 0.891 M
  4. V2 = 17.90 mL
  5. C3 = ?
  6. V3 = V1 + V2 = 37.2 mL + 17.90 mL = 55.10 mL

Substituting these values into the formula, we get:

1.69 M × 37.2 mL + 0.891 M × 17.90 mL = C3 × 55.10 mL

Solving for C3, we find that the concentration of the final solution is approximately 1.50 M.