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At what [Br^(-)]/sqrt(CO(3)^(2-)] does t...

At what `[Br^(-)]/sqrt(CO_(3)^(2-)]` does the following cell have its reaction at equilibrium?
`Ag(s) | Ag_(2)CO_(3)(s)| Na_(2)CO_(3)(aq)|| KBr(aq) | AgBr(s)| Ag(s)`
`K_z9sp) = 8 xx 10^(-12)` for Ag_(2)CO^(3)` and `K_(sp) = 4 xx 10^(-13)` for AgBr

A

`sqrt(1)xxx10^(-7)`

B

`sqrt(2)xx10^(-7)`

C

`sqrt(3)xx10^(-7)`

D

`sqrt(4)xx10^(-7)`

Text Solution

Verified by Experts

The correct Answer is:
B
`Ag_(("cathod"))^(+)overset(1e^(-))rarr Ag_(("anode"))^(+)`
`E_("cell")=E_("cell")+(0.059)/(1)"log"(K_(sp)(AgBr)//[Br^(-)])/(sqrt(K_(sp)(Ag_(2)CO_(3))//[CO_(3)^(--)])`
`rArr ([Br^(-)])/(sqrt([CO_(3)^(--)]))=sqrt(2)xx10^(-7)`
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