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The e.m.f. of the following cell at 25 ...

The e.m.f. of the following cell at 25 ∘ C is _________. F e ( s ) ∣ ∣ F e S O 4 ( a q ) ( 0.1 M ) ∣ ∣ ∣ ∣ C u S O 4 ( a q ) ( 0.01 M ) ∣ ∣ C u s ( E ∘ F e 2 + ∣ ∣ F e = − 0.44 V and E ∘ c u 2 + ∣ C u = 0.337 V )

A

x cannot be predicted

B

x=0.01M

C

`xgt0.01M`

D

`xlt0.01M`

Text Solution

Verified by Experts

The correct Answer is:
B
If a solution contains two or more catios, the cation to be deposited on the cathode is the one which has higher reduction potential. Here the reaction will be
`Fe+Cu^(2+)toFe^(2+)+Cu`
`E_(cell)=E_(cell)^(o)-(0.0591)/(n)"log"([Fe^(2+)])/([Cu^(2+)])`
`0.78=0.78-(0.591)/(n)"log"[(Fe^(2+))/(Cu^(2+))]`
or `0="log"(x)/(0.01)implies(x)/(0.01)=1impliesx=0.01`.
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