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The emf of the following three galvanic ...

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 ?

A

` E_1 gt E_2 gt E_3`

B

` E-3 gtE_2 gt E_1`

C

` E_3 gt E_1 gt E_2`

D

` E_2 gt E_1 E_3`

Text Solution

Verified by Experts

The correct Answer is:
D
` E_("cell") = E_("cell")^2 - ( 2.303RT)/(nT) log. ([Zn^(2+)))/([Cu^(2+)])`
`E_1 = E_(cell)^@ - ( 2.303 RT)/(2T) log. (1)/(1)`
`E_("cell")^2`
`E_2 = E_(cell)^2 - ( 2.303 RT)/(2 F) log.(0.1)/(1.0)`
`E_3 = E_(cell)^@ - ( 2.303)/(2 F) 1/(0.1)`
` :. E_2 gt E_1 gt E_3`.
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