1.

The cell in which the following reaction occurs `2Fe^(3+)(aq)+2I^(-)(aq)to2Fe^(2+)(aq)+I_(2)(aq)+I_(2)(s)` has `E_(cell)^(0)=0.236V` at 298 K. Calculate the standard gibbs energy and the equilibrium constant of the cell reaction.

Answer» `2Fe^(3+)(aq)+2I^(-)(aq)to2Fe^(2+)(aq)+I_(2)(s)`
For the given cell `n=2`
`Delta_(r)G^(@)=-nFE_(cell)^(@)`
`=-2xx96500xx0.236`
`=-45.55kJ" "mol^(-1)`
also, `Delta_(r)G^(@)=-2.303RT" "log" "K_(C)`
`implieslogK_(C)=(-Delta_(r)G^(@))/(2.303RT)`
`=(-45.55)/(2.303xx8.314xx10^(-3)xx298)`
`=7.983`
`impliesK_(C)="antilog"(7.983)`
`=9.616xx10^(7)`


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