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Question

Given the standard oxidation potentials:
E0Fe(s)/Fe2+(aq)=0.44 V
E0Fe2+(aq)/Fe3+(aq)=0.77 V

The standard EMF of the given reaction will be:
Fe(s)+2Fe3+(aq)3Fe2+(aq)



A
0.33 V
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B
0.33 V
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C
1.21 V
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D
1.21 V
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Solution

The correct option is D 1.21 V
ΔG0=nFE0

The standard oxidation potentials are
E0Fe(s)/Fe2+(aq)=0.44 V
E0Fe2+(aq)/Fe3+(aq)=0.77 V

Fe(s)Fe2+(aq)+2e.......(1); ΔG01=2F×0.44Fe2+(aq)Fe3+(aq)+e........(2); ΔG02=+F×0.77

Multiply equation (2) by 2 and reverse the reaction,
2Fe3+(aq)+2e2Fe2+(aq)......(3); ΔG03=2F×0.77


Adding equation (1) and (3), we get
Fe(s)+2Fe3+(aq)3Fe2+(aq)........(4); ΔG04=2F×E0

ΔG04=ΔG01+ΔG03
2F×E0=2F×0.44+2F×0.77
E0=0.44+0.77
E0cell=1.21 V



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