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The magnitude ( but not the sign ) of th...

The magnitude `(` but not the sign `)` of the standard reduction potentials of two metals `X` and `Y` are `:`
`Y^(2)+2e^(-) rarr Y |E_(1)^(c-)|=0.34V`
`X^(2)+2e^(-) rarr X |E_(2)^(c-)|=0.25V`
When the two half cells of `X` and `Y `are connected to construct a cell, eletrons flow from `X` to `Y`. When `X` is connected to a standard hydrogen electrode `(SHE)`,electrons flow from `X` to `SHE`.
Given the following half cell `: YI+e^(-) rarr Y-I^(c-): " "E^(c-)=-0.27 & E^(req)=-0.53V`
Solubility product of the iodide salt `YI` is

A

`2xx10^(-3)`

B

`2xx10^(-12)`

C

`2xx10^(-14)`

D

`6.8xx10^(-16)`

Text Solution

Verified by Experts

The correct Answer is:
c
Also, create a cell such that the cell reaction is `:`

Cathod`:YI+e^(-)rarr Y+I^(c-)`
Anode `: Y rarr Y^(o+)+e^(-)`
`ulbar(YI rarr y^(O+)+I^(c-))`
`E^(c-)._(cell)=-0.27-0.53=-0.8V`
At equilibrium,
`log _(10)K_(sp)=(E^(c-)._(cell).n_(cell))/(0.059)=(-0.80xx1)/(0.059)~~-13.56`
, `implies K_(sp)~~2xx10^(-14)`
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