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E(1),E(2) and E(3) are the emf of the f...

`E_(1),E_(2)` and `E_(3)` are the emf of the following three galvancic cells respectively
`(i) Zn(s)|Zn^(2+)(0.1 M)||Cu^(2+)(1 M)|Cu(s)`
` (ii) Zn(s)|Zn^(2+)(1 M)||Cu^(2+)(1 M)|Cu(s)`
`(iii) An(s)|An^(2+)(1 M)||Cu^(2+)(0.1 M)|Cu(s)`
Which one of the following is true ?

A

`E_(2)gtE_(1)gtE_(3)`

B

`E_(1)gtE_(2)gte_(3)`

C

`E_(3)gtE_(1)gtE_(2)`

D

`E_(3)gtE_(2)gtE_(1)`

Text Solution

Verified by Experts

The correct Answer is:
A
`E_("cell") =E_("cell")^(@)-(0.0591)/(2) log [(Zn^(2+))/(Cu^(2+))]`
(i) `E_(1)=E_("cell")^(@)-(0.0591)/(2)log (Zn^(2+))/(Cu^(2+))`
`I E_(1)=E_(cell)^(@)-(0.0591)/(2) log (1)/(0.1)`
`ii E_(2) =E_(cell)^(@)-(0.0591)/(2)xx0=E_(cell)^(2)`
`E_(3)=E_(cell)^(2)-(0.0591)/(2) log (0.1)/(1) E_(3) =E_(cell)^(@) +(0.591)/(2)`
`E_(3)=E_(cell)^(@)+0.2955 therefore E_(3) gt E_(2) lgt E_(1)`
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