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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 _________.
`Fe_((s))|FeSO_(4(aq)) (0.1M)||CuSO_(4(aq))(0.01M)|Cu_(s)`
`(E_(Fe^(2+)||Fe)^(@)=-0.44 V and E_(cu^(2+)|Cu)^(@)=0.337V)`

A

x cannot be predict

B

x = 0.01M

C

`x gt 0.01M`

D

`x lt 0.01M`

Text Solution

Verified by Experts

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