Question:

In a cell, a copper electrode was used as a cathode. What is the electrode potential (in V) of the copper electrode dipped in 0.1 M Cu$^{2+}$ solution at 298 K? $$ E^{\circ} = 0.34\, V, \quad \frac{2.303RT}{F} = 0.059\, V $$

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Use the Nernst equation to calculate electrode potential when ion concentration deviates from standard conditions.
Updated On: Jun 4, 2025
  • 0.34
  • 0.31
  • 0.37
  • 0.40
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The Correct Option is B

Solution and Explanation

Using the Nernst equation: \[ E = E^{\circ} - \frac{2.303RT}{nF} \log \left( \frac{[Cu^{2+}]}{[Cu]} \right) \] For a concentration of 0.1 M Cu\(^{2+}\), the electrode potential becomes: \[ E = 0.34 - 0.059 \log (1/0.1) = 0.34 - 0.059 \times 1 = 0.31 \, V \]
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