If the following half cells have \( \mathrm{E}^{\circ} \) values as \[ \begin{array}{l} \mathrm{...

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If the following half cells have \( \mathrm{E}^{\circ} \) values as
\[
\begin{array}{l}
\mathrm{A}^{3+}+\mathrm{e}^{-} \longrightarrow \mathrm{A}^{2+}, E^{\circ}=y_{2} \mathrm{~V} \\
\mathrm{~A}^{2+}+2 \mathrm{e}^{-} \longrightarrow \mathrm{A}, E^{\circ}=-y_{1} \mathrm{~V}
\end{array}
\]
The \( \mathrm{E}^{\circ} \) of the half cell \( \mathrm{A}^{3+}+3 \mathrm{e} \longrightarrow \) A will be
(a) \( \frac{2 y_{1}-y_{2}}{3} \)
(b) \( \frac{y_{2}-2 y_{1}}{3} \)
(c) \( 2 y_{1}-3 y_{2} \)
(d) \( y_{2}-2 y_{1} \)
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