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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

`1.6xx10^(-5)`

B

`1.5xx10^(-8)`

C

`3.2xx10^(-10)`

D

` 1.5xx10^(-10)`

Text Solution

Verified by Experts

The correct Answer is:
D
For the equilibrium
`AgCl(s)overset(H_(2)O)hArrAg^(+)(aq)+Cl^(-)(aq)`
`k_(sp)=[Ag^(+)][Cl^(-)]`
`AgCl(s)+e^(-)rarrAg(s)+Cl^(-)(aq)E^(@)=0.22V`
`Ag(s)rarrAg^(+)(aq)+e^(-),E^(@)=-0.80V`
`AgCl(s)rarrAg^(+)(aq)+Cl^(-)(aq)`
`E^(@)=(0.22-0.80)V`
`=-0.58V`
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