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Question

ΔG for the following reaction is:
4A1+3O2+6H2O+4OH4A1(OH)4
Ecell=2.73V
ΔfG(OH)=157kJmol1
ΔfG(H2O)=237kJmol1

A
3.16×103kJmol1
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B
0.79×103kJmol1
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C
0.263×103kJmol1
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D
+0.263×103kJmol1
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Solution

The correct option is A 3.16×103kJmol1
As we know,
ΔrGcell=ncellFEcell=12×96500×2.73
=3.16×103kJmol1
For ncell, write the half cell reaction as:
Cathode : 2H2O(l)+O2(g)+4e4OH(aq)
Anode : Al(s)+4OH(aq)Al(OH)4(aq)+3e

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