1.

(a) Calculate the standard free energy change and maximum work obtainable for the reaction. `Zn(s)+Cu^(2+)(aq)hArrCu(s)+Zn^(2+)(aq)` [Given `E_(Zn^(2+)//Zn)^(@)=-0.76V,E_(Cu^(2+)//Cu)^(@)=+0.34V,F=96500" C "mol^(-1)`] (b) also calculate the equilibrium constant for the reaction.

Answer» (a) The cell may be represented as `Zn(s)|Zn^(2+)(1M)||Cu^(2+)(1M)|Cu(s)`
`E_(cell)^(@)=E_(RHS)^(@)-E_(LHS)^(@)=0.34-(-0.76)=1.10`volt
For the given cell reaction, n=2
`DeltaG^(@)=-nFE_(cell)^(@)=-2xx96500" C "mol^(-1)xx1.10V=-212,300CV" "mol^(-1)`
Thus, the maximum work that can be obtained from the Daniell cell=212.3 kJ.
(b) `DeltaG^(@)=-RT" ln "K_(c)=-2.303RT" log "K_(c)`
`therefore-212300=-2.303xx8.314xx298xxlog" "K_(c)" or "logK_(c)=(212300)/(2.303xx8.314xx298)=37.2074`
`thereforeK_(c)="Antilog "37.2074=1.6xx10^(37)`


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