1.

(b) Estimate the minimum potential difference needed to reduce `AI_(2)O_(3)` at `500^(@)C` The gibbs energy change for the decomposition reaction `2/3AI_(2)O_(3)rarr4/3AI+O_(2)`is 960 kJ (F=96500 C `mol^(-1))`

Answer» `AI_(2)O_(3)(2AI^(3+)+3O^(2-))rarr2aI+3/2O_(2)n=6e`
`2/3AI_(2)O_(3)rarrr4/3AI+O_(2)n=2/3xx6e=4e`
`triangleG=960xx1000=960000`
`triangleG=nFE_(cell)`
Now,
`E_(cell)=(triangleG)/(nF)=(-960000)/(4xx96500)`
`E_(cell)=-2.487V`


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