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The standard reduction potential for two...

The standard reduction potential for two reactions are given below
`AgCl(s)+e^(-)rarrAg(s)+Cl^(-)(aq) ,E^(@)=0.22V`
`Ag^(+)(aq)+e^(-)rarrAg(s),E^(@)=0.80V`
The solubility product of AgCl under standard conditions of temperature is given by

A

`1.613 xx 10^(-5) M^(2)`

B

`1.535 xx 10^(-8) M^(2)`

C

`3.213 xx 10^(-10) M^(2)`

D

`1.535 xx 10^(-10) M^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
From eqs. (i) and (ii)
`AgCl(s) hArr Ag^(+)+Cl^(-), E^(@)=0.22-0.80=-0.58 V`
`E_("cell")=E_("cell")^(@)-0.0591/2 log [Ag^(+)][Cl^(-)]`
`0=-0.58-0.0591/2 log [Ag^(+)][Cl^(-)]`
`K_(sp)=[Ag^(+)][Cl^(-)]=1.535xx10^(-10) M^(2)`
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