High School

A student combined 37.2 mL of 1.69 M KMnO4 solution with 16.10 mL of a 0.891 M KMnO4 solution. Calculate the concentration of the final solution.

a) 1.37 M
b) 1.27 M
c) 0.95 M
d) 0.86 M

Answer :

Final answer:

The concentration of the final KMnO4 solution is calculated by finding the total moles of KMnO4 in both the original solutions and dividing it by the combined volume, resulting in a concentration of 1.27 M.

Explanation:

To find the concentration of the final KMnO4 solution, we follow these steps:

  1. Calculate the number of moles of KMnO4 in the 37.2 mL of 1.69 M KMnO4 solution: Moles = Molarity × Volume (L) = 1.69 mol/L × 0.0372 L.
  2. Calculate the number of moles of KMnO4 in the 16.10 mL of 0.891 M KMnO4 solution: Moles = Molarity × Volume (L) = 0.891 mol/L × 0.0161 L.
  3. Add the moles from both solutions to get total moles of KMnO4.
  4. Combine the volumes of both solutions to get the total volume: Total volume = 37.2 mL + 16.10 mL = 53.3 mL = 0.0533 L.
  5. Calculate the final concentration: Final Molarity = Total Moles / Total Volume (L).

After calculation, the final concentration is determined to be option (b) 1.27 M.

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