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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) gt E_(3) gt E_(1)`

B

`E_(3) gt E_(2) gt E_(1)`

C

`E_(1) gt E_(2) gt E_(3)`

D

`E_(1) gt E_(3) gt E_(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
E.m.f of the cell `= E_("cell")^(@) - 0.0591/n log_(10) [Zn^(2+)/Cu^(2+)]`
Higher the `[Zn^(2+)]/[Cu^(2+)]` ratio lower is the e.m.f of cell.
(i) `[Zn^(2+)]/[Cu^(2+)] =10`
(ii) `[Zn^(2+)]/[Cu^(2+)] = 1`
(iii) `[Zn^(2+)]/[Cu^(2+)] =0.1`
So is `E_(3) gt E_(2) gt E_(1)`
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