The standard reduction potential for `Cu^(2+)//Cu` is `+0.34V`. Calculate the reduction potential at pH=14 for the above couple. `K_(SP)` of `Cu(OH)_(2)` is `1.0xx10^(-19)`

Explanation

To calculate the reduction potential for the copper couple \( \text{Cu}^{2+}/\text{Cu} \) at \( \text{pH} = 14 \), we will follow these steps:

### Step 1: Understand the given data
We know the standard reduction potential \( E^\circ \) for the reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \) is \( +0.34 \, \text{V} \). We also have the solubility product \( K_{sp} \) of \( \text{Cu(OH)}_2 \) as \( 1.0 \times 10^{-19} \).

### Step 2: Calculate the concentration of hydroxide ions
At \( \text{pH} = 14 \):
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