Question

The cell , `Zn | Zn^(2+) (1M) || Cu^(2+) (1M) Cu (E_("cell")^@ = 1. 10 V)`,
Was allowed to be completely discharfed at `298 K `. The relative concentration of `2+` to `Cu^(2+) [(Zn^(2=))/(Cu^(2+))]` is :
A. `9.65xx10^(4)`
B. Antilog 24.08
C. 37.7
D. `10^(37.3)`

Answer 1

Correct Answer - D
(d) `E_(cell)=E_(cell)^(@)-(0.0591)/(2)"log"[(Zn^(2+))/(Cu^(2+))]`
When cell is completely discharged, `E_(cell)=0`
`:. " " 0=E_(cell)^(@)-(0.0591)/(2)"log"([Zn^(2+)])/([Cu^(2+)])`
`0=1.1-(0.0591)/(2)"log"([Zn^(2+)])/([Cu^(2+)])`
`"log"([Zn^(2+)])/([Cu^(2+)])=(1.1xx2)/(0.0591)=37.3`
`([Zn^2+])/([Cu^(2+)])=10^(37.3)`