1.

Determine the values of equilibrium constant `(K_(c))` and `DeltaG^(@)` for the reaction `Ni(s)+2Ag^(+)(aq)rarrNi^(2+)(aq)+2Ag(s), E^(@)=1.05 V.` (`"Given " 1F=96500"C mol"^(-1))`

Answer» (i) Calculate of `DeltaG^(@)` for the reaction
`Ni(s)+2Ag^(+)(aq)rarr Ni^(2+)(aq)+2Ag(s)`
`DeltaG^(@)=-nFE_(cell)^(@)`
`=(-2)xx(96500" C mol"^(-1))xx(1.05 V)=-202650 "CV mol"^(-1)`
=-202650 J `mol^(-1)`=-202.65 kJ `mol^(-1)`
(ii) Calculate of equilibrium constant `(K_(c))` for the reaction
`E^(@)=(2.303RT)/(nF)"log "K_(c)=(0.0591)/(n)"log"K_(c)`
`logK_(c)=(nxxE^(@))/(0.0591 V)=(2xx(1.05 V))/((0.0591 V))=35.53`
`K_(c)="Antilog " 35.53=3.41xx10^(35)`


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