Calculate the maximum work and log `K_(c)` for the given reaction at 298 K :
`Ni(s)+2Ag^(+)(aq) iff Ni^(2+)(aq)+2Ag (s)`
`["Given :"E^(@)_(Ni^(2+)//Ni)=-0.25V,E^(@)_(Ag^(+)//Ag)=+0.80V,1F=96500C mol^(-1)]`

Explanation

`Ni(s)+2Ag^(+)(aq)iff Ni^(2+)(aq)+2Ag(s)`
`E^(@)_("cell")=0.80V-(-0.25V)=1.05V`
`E^(@)_("cell")=(0.059)/(2)log K_(c)`
or `" "1.05V=(0.059)/(2)log K_(c)`
or `" "log K_(c)=(1.05xx2)/(0.059)=35.59`
`Delta_(r)G^(@)=-nF E^(@)_("cell")`
`=-2xx96500C mol^(-1)xx1.05V`
`=-202650" J mol"^(-1)`
`=-202.65" kJ mol"^(-1)`