What would be the solubility of silver chloride in `0.10M NaCI` solution?
`K_(sp) for AgCI = 1.20 xx 10^(-10)`

Options

A. `0.1M`
B. `1.2 xx 10^(-6)M`
C. `1.2 xx 10^(-9)M`
D. `1.2 xx 10^(-10)M`

Answer

C

Explanation

`{:(AgCIhArr,Ag^(o+)+,CI^(Theta),,),(,x,x,,):}`
`{:(,NaCIrarr,Na^(o+)+,CI^(Theta),),("Initial",0.1,0,0,),("Final",0,0.1,0.1,):}`
`(NaCI` is salt of `S_(A)//S_(B)`. Which is completely ionised).
`:. CI^(Theta) = (x +0.1) ~~ 0.1` (Since `x` is very small)
`:. K_(sp) = [Ag^(o+)] [CI^(Theta)]`
`1.2 xx 10^(-10) = x xx0.1`
`x = (1.2 xx 10^(-10))/(0.1) = 1.2 xx 10^(-9)M`