A \(35.2-\mathrm{mL}, 1.66 \mathrm{M} \mathrm{KMnO}_{4}\) solution is mixed with \(16.7 \mathrm{~mL}\) of \(0.892 \mathrm{M} \mathrm{KMnO}_{4}\) solution. Calculate the concentration of the final solution.

Short Answer

Expert verified
The molarity of the resulting KMnO4 solution is calculated by dividing the total number of moles from both solutions by the total volume of the mixed solution.

Step by step solution

01

Calculate the moles of KMnO4 in solution 1

We calculate the moles of KMnO4 in the first solution using the formula: \nMoles = Volume (in liters) * Molarity\nTherefore, moles of KMnO4 in first solution = \(35.2 mL * 1.66 M\). Convert mL to L by dividing by 1000. Thus, the moles of KMnO4 in first solution = \(0.0352 L * 1.66 M\)
02

Calculate the moles of KMnO4 in solution 2

By the same formula, we calculate the moles of KMnO4 in the second solution. Moles = Volume (in liters) * Molarity \nMoles of KMnO4 in the second solution are calculated as: \(16.7 mL * 0.892 M\). We do the conversion, so the moles of KMnO4 in the second solution = \(0.0167 L * 0.892 M\)
03

Add up the total moles of KMnO4

We add the moles of KMnO4 from both solutions to find the total moles of KMnO4.
04

Calculate the total volume of the solution

We add the volumes of both solutions in liters to find the total volume. Total volume = \(0.0352 L + 0.0167 L\)
05

Calculate the concentration of the final solution

Finally, we can find the molarity of the final solution using this formula: Molarity (M) = total moles of solute / total volume of solution (L)

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