When metallic copper is shaken with a solution of a copper salt, the reaction \( \mathrm{Cu}+\mathrm{Cu}^{2+} \rightleftharpoons 2 \mathrm{Cu}^{+} \) proceeds. When equilibrium is established at math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymn298/mn/math \( \mathrm{K},\left[\mathrm{Cu}^{2+}\right] /\left[\mathrm{Cu}^{+}\right]^{2}=1.667 \times 10^{6} \mathrm{M}^{-1} \). If the standard potential of the \( \mathrm{Cu}^{2+} \mid \mathrm{Cu} \) half-cell is \( +0.3376 \mathrm{~V} \), what is the standard potential of \( \mathrm{Cu}^{+} \mid \mathrm{Cu} \) half-cell?
math xmlns=http://www.w3.org/1998/Math/MathML class=wrs_chemistrymo(/mo/mathGiven: \( 2.303 R T / F=0.06, \log 2=0.3, \log 3=0.48 )\)
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