Step 1: Understand the concept of standard electrode potential
The standard electrode potential (E°) is a measure of the ability of a half-cell to gain or lose electrons relative to the standard hydrogen electrode (SHE), which is defined as 0 V. A positive potential indicates that the substance tends to gain electrons (reduction), while a negative potential indicates that the substance tends to lose electrons (oxidation).
Step 2: Check the standard electrode potential of copper
From standard reference tables, the standard electrode potential for the half-reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \) is \( +0.34 \, \text{V} \).
Answer: Therefore, the standard electrode potential for the half-reaction \( \text{Cu}^{2+} + 2e^- \rightarrow \text{Cu} \) is \( +0.34 \, \text{V} \). So, the correct answer is option (1).