Relate mathematically between standard emf of the cell and equilibrium constant.
Calculate the equilibrium constant for the reaction
Fe(s) + Cd++ (aq) ⇌ Fe++(aq) + Cd(s)
Given Eo
Cd
++/Cd = -0.40V, E
o
Fe
++/Fe = -0.40V , Antilog1.356 = 22.70
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Answer:22.57.
E∘cell=E∘cathode−E∘anode,=E∘Cd2+/Cd−E∘Fe2+/Fe
=(−0.40)−(−0.44)=+0.04V
logKc=nE∘cell0.0591=2×0.040.0591=0.080.0591=1.3536
Kc=Antilog
Kc=Antilog(1.3536)=22.57.
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