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Coke does not cause reduction of Al(2)O(...

Coke does not cause reduction of `Al_(2)O_(3)`. Explain `Delta G^(@)` (in kJ `mol^(-1)`) for `Al_(2)O_(3)` : -1582, CO = - 137.2.

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`{:(Al_(2)O_(3) + C rarr 2AI + 3CO),(Delta G^(@) = 3 Delta_(f) G^(@) (CO) - Delta_(f) G^(@) (Al_(2)O_(3))),(=- 3(137.2) + 1582 = 1170.4),(= +ve):}`
Hence reaction is not spontaneous.
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