The answer is- EMF of cell = 0.096 V.
Nernst equation: EMF of a cell is the cell potential and Nernst equation is used to calculate the EMF of a cell.
Explain Nernst equation.
[tex]\[{{\rm{E}}_{{\rm{cell}}}}{\rm{\; = }}{{\rm{E}}^{\rm{0}}}{\rm{\;- }}\left[ {\frac{{0.0591}}{{\rm{n}}}} \right]{\rm{ log Q}}\][/tex]
Where,
Ecell = EMF of the cell
E0 = Standard EMF under standard conditions
n = number of electrons transferred in the redox reaction
Q = reaction quotient
[tex]Pb + 2H^+[/tex]→[tex]Pb^2^+ + H_2[/tex]
E0 = 0.13 V
[tex]Ecell = 0.13 V - [\frac{0.0591}{2}] log \frac{(1.0 *0.11) }{(0.087)^2} \\ = 0.13V - 0.034= 0.096\ V[/tex]
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