The standard e.m.f. of the cell
`Zn(s)+Cu^(2+)(aq)toZn^(2+)(aq)+Cu(s)` is 1.10 V Calculate (i) the standard free energy change,
(ii) the equilibrium constant `K_(e)`.

Explanation

Standard e.m.f. of cell is :
`E_("cell")^(@)=1.10V`
(i) `DeltaG^(@)=~nFE_("cell")^(@)`
`=-(2mol)xx(96500 C mol^(-1))xx(1.10V)`
`=-212300CV" "("":.1CV=1J)`
`=-212300J`
or `=-212.3kJ`
(ii) `DeltaG^(@)=-RTlnK_(c)`
or `DeltaG^(@)=-RTxx2.303logK_(c)`
or `logK_(c)=(DeltaG^(@))/(2.303RT)`
`R=8.314J,T=298K`,
`DeltaG^(@)=-212.3xx10^(3)J`
`:.logK_(c)=(-212300)/(-2.303xx298xx8.314)`
=37.207
`:.K_(c)=1.64xx10^(37)`