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The Gibbs energy for the decomposition of $Al_2O_3$ at $500^{\circ}C$ is as follows :<br>$\large\frac{2}{3}$$Al_2O_3 \to \large\frac{4}{3}$$Al+O_2, \Delta_rG=+966\;kJ\;mol^{-1}$ <br> The potential difference needed for electrolytic reduction of $Al_2O_3$ at $500^{\circ}C$ is at least


( A ) 5.0 V
( B ) 3.0 V
( C ) 4.5 V
( D ) 2.5 V

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