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Gibb's Energy and Nernst Equation

For the cell ...

Question

For the cell reaction
$A + B^{2 +} (a q) \to C + D^{2 +} (a q)$
The Equilibrium constant $K_{c}$ is 100. The $E_{c e l l}^{0}$ at $25^{\circ} C$ is

0.059

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0.0295

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0.118

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0.590

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Solution

The correct option is A 0.059
$E_{c e l l}^{0} = \frac{0.059}{2} l o g 100 = \frac{0.059}{2} \times 2 = 0.059$

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