Question

Calculate the minimum mass of `NaCI` necessary to dissolve `0.01mol AgC1` in `100L` solution.
(Assume no change in volume) `(K_(f)AgC1_(2)^(Θ) = 3 xx 10^(5)) (K_(sp)AGC1 = 10^(-10))`

Answer 1

`AgC1 + C1^(Θ) hArr AgC1_(2)^(Θ)`
`[AgC1_(2)^(Θ)] = (0.01mol)/(100L) = 10^(-4)M`
`K_(f) = ([AgC1_(2)^(Θ)])/([AgC1][C1^(Θ)])`
`K_(f) = ([AgC1_(2)^(Θ)])/([Ag^(o+)][C1^(Θ)]^(2)) = 3 xx 10^(5)`
`[Ag^(o+)] = (K_(sp))/([C1^(Θ)])`
`K_(f) = ([AgC1_(2)^(Θ)])/(K_(sp)[C1^(Θ)]), [C1^(Θ)] = ([AgC1_(2)^(Θ)])/(K_(sp)K_(f))`
`= (10^(-4))/((10^(-10))(3xx10^(5)))`
`= 3.3 M`
`= (3.3 mol L^(-1)) xx (100L) xx 58.5 g mol^(-1)`
`= 19305 g`
`= 19.3 Kg`