Question

(35) Consider an electrochemical cell based on the following overall reaction, not only 1970s azi W (8) Fe(s) + 2Ag (aq) → Fe

it would be helpful if you could explain it in words too. thanks
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Answer #1

Cell potential can be calculated using Nernst equation :

Ecell = E°cell - 0.059/n log([Fe2+]/[Ag+]2)

Here, E°cell = E°cathode - E°anode

At cathode, reduction takes place. In given reaction reduction of Ag+ takes place (because it's oxidation state decreases from +1 to 0) hence Ag+ is at cathode whereas Fe is at anode. Thus,

E°cell = 0.80 -(-044) = 1.24 V

Number of electrons lost or gained, n = 2

(Because oxidation state of Fe changes from 0 to +2 thus 2 electrons are lost)

[Fe2+] = 1.50

[Ag+] = 0.050

Substituting values, we get :

Ecell = 1.24 - 0.059/2 log(1.50/(0.05)2)

= 1.24 - 0.0295×log(600)

= 1.24 - 0.0295×2.778

= 1.24 - 0.082

= 1.16 V

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