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Question

For the galvanic cell,
Ag|AgCl(s),KCl(0.2M)||KBr(0.001M),AgBr(s)|Ag
Calculate the emf generated and assign correct polarity to each electrode for a spontaneous process after taking into account the cell reaction at 250C.
[Ksp(AgCl)=2.8×1010,Ksp(AgBr)=3.3×1013]

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Solution

Ag/AgCl(s), KCl(0.2M)KBr(0.001M);AgBr(s)/Ag
Ag(1)Ag+(1)+e (at anode)
Ag(2)Ag+(2)+e (at cathode)
Ag(1)+Ag+(2)Ag(2)+Ag+(1) (cell reaction)
According to Nemest Reaction,
Ecell=E0cell+0.06log[reactantsproduct]
Ksp[AgCl]=[Ag+(1)][Cl]=2.8×1010
Ksp[AgBr]=[Ag+(2)][Br]=3.3×1013[Ag+(2)]=.3×10130.001=3.3×1010MEcell=0.0591log[2.3×1010][1.4×109]=0.037V
emf<0, cell eaction (Ecell>0) polarity of cell is to reversed, ie.
Ag/AgBr(s), KBr(0.001M)KCl(0.2M),AgCl(s)/Ag

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