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If E(1),E(2) and E(3) are the emf values...

If `E_(1),E_(2)` and `E_(3)` are the emf values of the three galvanic cells respectivley
(i)`Zn|Zn^(2+)(1M)||Cu^(2+)(0.1M)|Cu`
(ii) `Zn|Zn^(2+)(1M)||Cu^(2+)(1M)|Cu`
(iii) `Zn|Zn^(2+)(0.1)||Cu^(2+)(1M)|Cu`.
Which one of the following is true.

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C

`Zn+Cu^(2+)rarrZn^(2+)+Cu`
`E_("cell")=E_("cell")^(@)-(0.059)/(2)"log"(|Zn^(2+)|)/(|Cu^(2+)|)`
The higher the value of `|Zn^(2+)|//|Cu^(2+)|`, lower is the value of cell, `|Zn^(2+)|//|Cu^(2+)|` is=
`(1)/(0.1)=10` for (ii) `=(1)/(1)=1` or (iii) `=(0.1)/(1)=0.1`
`therefore E_(3)gtE_(2)gtE_(1)`.
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E_(1) , E_(2) and E_(3) are the emfs of the following three galvanic cells respectively I. Zn((s)) | Zn^(2+) (0.1M) | | CU^(2+) (1M) | Cu((s)) II. Zn((s)) ZN^(2+) (1M) || Cu^(2+)(1M) | Cu(s) III. Zn(s) | Zn^(2+) (1M) || CU^(2+)(0.1M)CU(s)

The emf of the following three galvanic cells : 1. Zn//Zn^(2+) ( 1M) || Cu^(2+) (1 M) //Cu 2. Zn//ZN^(2+ ) (1 M)|| Cu^(2+) //cu 3. Zn//Zn^(2+) (1 M) || Cu^(2+) (0.1 M) Cu are repersented by E_1, E_2, E_3 which of the following statement is true ?

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