The potential of the cell containing two hydrogen electrodes as represented below, is:
Pt,H2(g)|H+(10−6M)||H+(10−4M)|H2(g),Pt at 298K
−0.0591V
−0.118V
0.118V
0.0591V
A
−0.118V
B
−0.0591V
C
0.0591V
D
0.118V
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Solution
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At cathode: H+c+e−⟶1/2H2Eo=0V
At anode: 1/2H2⟶H+a+e−Eo=0V
_____________________
Cell reaction H+c⟶H+aEocell=0
For concentration Eocell is 0, as both the compartment have same half cell.
Using Nernst Equation
[H+]a= concentration of H+ at anode; [H+]c= concentration of H+ at cathode
⇒Ecell=Eocell−0.05911log[H+]a[H+]c
⇒Ecell=−0.0591log[10−6][10−4]
⇒Ecell=−0.0591log10−2
⇒Ecell=2×0.0591=0.1182V
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