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Mark the correct Nernst equation for the...

Mark the correct Nernst equation for the given cell. `F_((s))|Fe^(2+)(0.001 M) ||H^(+)(1M) | H_(2(g)) ( 1 bar ) | Pt_((s))` is

A

`E_"cell"=E_"cell"^@-"0.591"/2 "log" ([Fe^(2+)][H^+]^2)/([Fe][H_2])`

B

`E_"cell"=E_"cell"^@-"0.591"/2 "log" ([Fe][H^+]^2)/([Fe^(2+)][H_2])`

C

`E_"cell"=E_"cell"^@-"0.0591"/2 "log" ([Fe^(2+)][H_2])/([Fe][H^+]^2)`

D

`E_"cell"=E_"cell"^@-"0.0591"/2 "log" ([Fe][H_2])/([Fe^(2+)][H^+]^2)`

Text Solution

Verified by Experts

The correct Answer is:
C

`{:("At anode:",Fe to Fe^(2+) (0.001 M)+2e^-),("At cathode:",2H^(+)(1M)+2e^(-) to H_2"(1 atm)"),("Net reaction:",Fe+2H^(+) to Fe^(2+)+ H_2):}`
Nernst equation for the given cell , `E_"cell"=E_"cell"^@-0.0591/2 "log"([Fe^(2+)][H_2])/([Fe][H^+]^2)`
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