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What is the minimum volume, in cm³, of 0.02 mol dm⁻³ KMnO₄ solution needed to oxidise 0.01 mol of VO²⁺? 5 VO²⁺ + MnO₄⁻ + H₂O → 5 VO₃ + Mn²⁺ + 2 H⁺ - AQA - A-Level Chemistry - Question 31 - 2020 - Paper 3

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Question 31

What-is-the-minimum-volume,-in-cm³,-of-0.02-mol-dm⁻³-KMnO₄-solution-needed-to-oxidise-0.01-mol-of-VO²⁺?--5-VO²⁺-+-MnO₄⁻-+-H₂O-→-5-VO₃-+-Mn²⁺-+-2-H⁺-AQA-A-Level Chemistry-Question 31-2020-Paper 3.png

What is the minimum volume, in cm³, of 0.02 mol dm⁻³ KMnO₄ solution needed to oxidise 0.01 mol of VO²⁺? 5 VO²⁺ + MnO₄⁻ + H₂O → 5 VO₃ + Mn²⁺ + 2 H⁺

Worked Solution & Example Answer:What is the minimum volume, in cm³, of 0.02 mol dm⁻³ KMnO₄ solution needed to oxidise 0.01 mol of VO²⁺? 5 VO²⁺ + MnO₄⁻ + H₂O → 5 VO₃ + Mn²⁺ + 2 H⁺ - AQA - A-Level Chemistry - Question 31 - 2020 - Paper 3

Step 1

Calculate Moles of KMnO₄ Needed

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Answer

From the balanced equation, 5 moles of VO²⁺ react with 1 mole of MnO₄⁻. Thus, for 0.01 mol of VO²⁺:

[ \text{Moles of } MnO₄⁻ = \frac{0.01, \text{mol of VO}^2+}{5} = 0.002, \text{mol} ]

Step 2

Use Concentration to Find Volume

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Answer

We use the equation ( C = \frac{n}{V} ) to find the volume needed:

[ V = \frac{n}{C} ]

Substituting the values:

[ V = \frac{0.002, \text{mol}}{0.02, \text{mol dm}^{-3}} = 0.1, ext{dm}^3 ]

Since we need the volume in cm³:

[ V = 0.1, ext{dm}^3 \times 1000 = 100, ext{cm}^3 ]

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