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You are titrating a 50.0 mL solution of 0.050 M hydrogen peroxide (H2O2) with 0.100 M potassium permanganate (KMnO4) using a platinum electrode. The standard electrode potential for the platinum electrode is E∘=0 V. Calculate the potential of the solution After adding excess potassium permanganate 75.0 mL).

Question

You are titrating a 50.0 mL solution of 0.050 M hydrogen peroxide (H2O2) with 0.100 M potassium permanganate (KMnO4) using a platinum electrode. The standard electrode potential for the platinum electrode is E∘=0 V. Calculate the potential of the solution After adding excess potassium permanganate 75.0 mL).

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Solution

The reaction between hydrogen peroxide and potassium permanganate in acidic solution is as follows:

2MnO4- + 6H+ + 5H2O2 → 2Mn2+ + 8H2O + 5O2

From the stoichiometry of the reaction, we can see that 2 moles of MnO4- react with 5 moles of H2O2.

First, we need to calculate the number of moles of H2O2 and KMnO4.

Number of moles of H2O2 = Molarity * Volume(L) = 0.050 M * 0.050 L = 0.0025 moles Number of moles of KMnO4 = Molarity * Volume(L) = 0.100 M * 0.075 L = 0.0075 moles

Since 2 moles of MnO4- react with 5 moles of H2O2, the number of moles of H2O2 required to react with 0.0075 moles of MnO4- is (0.0075 moles * 5) / 2 = 0.01875 moles.

Since the number of moles of H2O2 present (0.0025 moles) is less than the number of moles of H2O2 required (0.01875 moles), all the H2O2 will react and there will be excess MnO4-.

The half-reactions are:

MnO4- + 8H+ + 5e- → Mn2+ + 4H2O E° = +1.51 V H2O2 → O2 + 2H+ + 2e- E° = +0.68 V

The overall cell potential E°cell is given by the equation:

E°cell = E°cathode - E°anode

In this case, MnO4- is the oxidizing agent (it gains electrons, so it's the cathode) and H2O2 is the reducing agent (it loses electrons, so it's the anode). Therefore,

E°cell = E°MnO4-/Mn2+ - E°H2O2/O2 = +1.51 V - (+0.68 V) = +0.83 V

Therefore, the potential of the solution after adding excess potassium permanganate is +0.83 V.

This problem has been solved

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