In the development of a high-energy density flow battery, researchers are investigating the electrochemical properties of a newly synthesized transition metal alloy component, element Z\text{Z}Z.
Standard reduction potentials for two redox systems of Z\text{Z}Z are measured at 298 K298\text{ K}298 K:
Z4+(aq)+4e−⇌Z(s)E∘=−0.12 V \text{Z}^{4+}(\text{aq}) + 4\text{e}^- \rightleftharpoons \text{Z}(\text{s}) \quad E^\circ = -0.12\text{ V} Z4+(aq)+4e−⇌Z(s)E∘=−0.12 V Z4+(aq)+e−⇌Z3+(aq)E∘=+0.36 V \text{Z}^{4+}(\text{aq}) + \text{e}^- \rightleftharpoons \text{Z}^{3+}(\text{aq}) \quad E^\circ = +0.36\text{ V} Z4+(aq)+e−⇌Z3+(aq)E∘=+0.36 VDetermine the standard electrode potential, E∘E^\circE∘, for the following reduction half-reaction:
Z3+(aq)+3e−⇌Z(s) \text{Z}^{3+}(\text{aq}) + 3\text{e}^- \rightleftharpoons \text{Z}(\text{s}) Z3+(aq)+3e−⇌Z(s)
