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Question

Calculate the equilibrium constant for the following reaction:
3Sn+2Cr2O27+28H+3Sn4++4Cr3+14H2O
EoSn/Sn4+=0.009V

EoCr2O27/Cr3=1.33V

A
10413
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B
101.8
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C
10272
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D
10317
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Solution

The correct option is C 10272
3Sn++2Cr2O27+8H+3Sn4++4Cr3++14H2O
Eocell=EocathodeEoanode
(Reduction) as Cr+6Cr+3 It takes place at cathode
(Oxdiation) SnSn+4 It takes place at anode
Eocell=EoCr2O27/Cr+3EoSn+4/Sn
=1.33V(0.009)
Eocell=1.33+0.009V
Eocell=1.339V
At equilibrium, ΔG=0 thus Ecell also 0
0=Eocell0.0591nlog[Cr+3]4[Sn+4]3[Cr2O27]2[Sn]4
Eocell=0.0591nlogKeq
n=12 for the reaction,
as 3Sn3Sn4+3×4e=12e
Eocell=0.059112logKeq
1.339×120.0591=logKeq
Keq=10272

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