Answer :
Final answer:
To find the concentration of the final solution, calculate the moles of KMnO4 in each solution and sum them. Then divide the total moles of KMnO4 by the total volume of the solutions. The final concentration turns out to be approximately 1.43 M.
Explanation:
The process of finding the concentration of the final solution involves using the formula for molarity (M), which is moles of solute divided by liters of solution. First, calculate the moles of KMnO4 in each solution by multiplying the volume (converted to liters) by the molarity. Then, add these two quantities together.
The moles of KMnO4 in the first solution are: (37.2/1000 L) * 1.69 mol/L = 0.0628 mol. For the second solution: (17.70/1000 L) * 0.891 mol/L = 0.0158 mol. So, total moles of KMnO4 = 0.0628 + 0.0158 = 0.0786 mol.
Then, calculate the total volume of the solutions: 37.2 mL + 17.7 mL = 54.9 mL, or 0.0549 L. This gives a final concentration of: 0.0786 mol/0.0549 L = 1.43 M, which is the molarity of the mixture.
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