ElectrochemistryMedium

Nernst equation

Calculate cell potential for Zn²⁺(0.010 M)/Zn: E° = -0.76 V.
Use Nernst: E = E° - (0.0592/n)·log(Q). T = 298 K.
Given data
E° = -0.76 V[Zn²⁺] = 0.010 Mn = 2 (Zn²⁺ + 2e⁻ → Zn)
Review the theory: Elettrochimica
Steps
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  1. Calculate log(Q) where Q = 1/[Zn²⁺] for reduction.
  2. Calculate E = E° - (0.0592/n)·log(Q).
Full worked solution
  1. Calculate log(Q) where Q = 1/[Zn²⁺] for reduction.
    log⁡(10.010)\log\left(\frac{1}{0.010}\right)
    log(100) = 2.
  2. Calculate E = E° - (0.0592/n)·log(Q).
    −0.76−0.05922⋅2-0.76 - \frac{0.0592}{2} \cdot 2
    E = -0.76 - (0.0592/2)×2 = -0.76 - 0.0592 = -0.819 V.
Result:E = -0.819 V.