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QAIPM-2012-Ch-1629: NEET 2012 Chemistry - Class 12 AIPM-2012-Ch-1629 Solution: The Gibb's energy for the decomposition of \(Al_2O_3\) at…

The Gibb's energy for the decomposition of Al2O3Al_2O_3 at 500∘C500^\circ C is as follows 23Al2O3→43Al+O2\frac{2}{3}Al_2O_3 \rightarrow \frac{4}{3}Al + O_2 ΔrG=+960 kJ mol−1\Delta_r G = +960\ \text{kJ mol}^{-1} The potential difference needed for the electrolytic reduction of aluminium oxide (Al2O3Al_2O_3) at 500∘C500^\circ C is at least 4.5 V 3.0 V 2.5 V 5.0 V

Multiple Choice Options

  • A 4.5 V
  • B 3.0 V
  • C 2.5 V
  • D 5.0 V

Step-by-Step Verified Solution

We know, _ G o = � nFE o 2 3 Al 2 O 3 _ 4 3 Al + O 2 Total number of Al atoms in Al 2 O 3 = 2 3 _ 2 = 4 3 Al 3+ + 3e � _ Al As 3e � change occur for each Al atom _ n = 4 3 _ 3 = 4 E o = - _ G _ n F = - 960 _ 1000 4 _ 96500 = - 2.5 V

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