Thecell, `Zn|Zn^(2+)(1M)||Cu^(2+)(1M) |Cu (E_("cell")^(@)=1.10V)` was allowed to be completely discharged at 298 K. The relative concentration of `Zn^(2+)` to `Cu^(2+)(([Zn^(2+)])/([Cu^(2+)]))` is

Options

A. `9.65 xx10^(4)`
B. antilog `(24.08)`
C. `37.3`
D. `10^(37.3)`

Answer

D

Explanation

`E_(cell)=0,` when cell is completely discharged.
`E_(cell) =E_(cell)^(@)-(0.059)/(2) log ""([(Zn^(2+))/(Cu^(2+))])/([Cu^(2+)])`
or `0=1.1-(0.059)/(2)log ""(([Zn ^(2+)])/([Cu^(2+)]))`
`log ""(([Zn^(2+)])/([Cu^(2+)]))=(2xx 1.1)/(0.059)=37.3`
`therefore (([Zn^(2+)])/([Cu^(2+)]))=10^(37.3)`