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Which species is the weakest oxidizing agent, given the following standard electrode potentials: R2+/R = -2.38 V, S+/S2+ = +2.87 V, T2+/T = +0.34 V, U2+/U = -2.90 V, V+/V2+ = +0.80 V?

Chemistry

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Step-by-step solution

8 steps

I)

  1. Understand what an oxidizing agent is.

    An oxidizing agent is a species that gains electrons (gets reduced) in a redox reaction. The standard electrode potential (E∘E^\circ) measures the tendency of a species to be reduced.

  2. Relate E∘E^\circ to oxidizing strength.

    A more positive E∘E^\circ indicates a stronger tendency for reduction, meaning the species is a stronger oxidizing agent. Conversely, a more negative E∘E^\circ indicates a weaker tendency for reduction, meaning the species is a weaker oxidizing agent.

  3. Identify the species with the most negative E∘E^\circ.

    From the table, the standard electrode potentials for the oxidizing agents (species on the left side of the half-equations) are:

    1. R2+^{2+}: −2.38-2.38 V
    2. 12\frac{1}{2}S+^{+}: +2.87+2.87 V
    3. T2+^{2+}: +0.34+0.34 V
    4. U2+^{2+}: −2.90-2.90 V
    5. 12\frac{1}{2}V+^{+}: +0.80+0.80 V

    The most negative E∘E^\circ value is −2.90-2.90 V, which corresponds to U2+^{2+}.

  4. State the weakest oxidizing agent and explain.

    The weakest oxidizing agent is U2+^{2+}.
    Explanation: U2+^{2+} has the most negative standard electrode potential (E∘=−2.90E^\circ = -2.90 V), indicating it has the least tendency to gain electrons and be reduced. Therefore, it is the weakest oxidizing agent among the given species.

    II)

  5. Understand how to maximize e.m.f.

    The electromotive force (e.m.f) of a cell is calculated as Ecell∘=Ecathode∘−Eanode∘E^\circ_{cell} = E^\circ_{cathode} - E^\circ_{anode}. To produce the highest e.m.f, we need to select the half-cell with the most positive E∘E^\circ to act as the cathode (where reduction occurs) and the half-cell with the most negative E∘E^\circ to act as the anode (where oxidation occurs).

  6. Identify the half-cell with the most positive E∘E^\circ.

    The most positive E∘E^\circ value in the table is +2.87+2.87 V, corresponding to the half-cell:

    12S+(aq)+e−⇌S(s)\frac{1}{2}\text{S}^{+}(\text{aq}) + \text{e}^{-} \rightleftharpoons \text{S(s)}
  7. Identify the half-cell with the most negative E∘E^\circ.

    The most negative E∘E^\circ value in the table is −2.90-2.90 V, corresponding to the half-cell:

    U2+(aq)+2e−⇌U(s)\text{U}^{2+}(\text{aq}) + 2\text{e}^{-} \rightleftharpoons \text{U(s)}
  8. State the two half-cells.

    The two half-cells that will produce the highest e.m.f are:

    • 12S+(aq)+e−⇌S(s)\frac{1}{2}\text{S}^{+}(\text{aq}) + \text{e}^{-} \rightleftharpoons \text{S(s)}
    • U2+(aq)+2e−⇌U(s)\text{U}^{2+}(\text{aq}) + 2\text{e}^{-} \rightleftharpoons \text{U(s)}

    The highest e.m.f produced would be:

    Ecell∘=(+2.87 V)−(−2.90 V)=+5.77 VE^\circ_{cell} = (+2.87 \text{ V}) - (-2.90 \text{ V}) = \boxed{+5.77 \text{ V}}
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