Predict whether a precipitate will be formed or not on mixing 20 mL of 0.001 M NaCI with 80 mL of 0.01 M `AgNO_(3)` solution `(K_(sp) " for " AgCI =1.5 xx 10^(-10))`

Answer

Yes, ppt. will be formed

Explanation

After mixing, total volume of solution = 100 ml
20 ml of `10^(-3) ` M NaCl sol `-=` 100 ml of ? M
Molarity of NaCl solution in the final solution `=(20xx10^(-3))/(100) = 2xx10^(-4) M or [Cl^(-) ] = 2 xx 10^(-4) M`
80 ml of `10^(-2)` M `AgNO_(3)` sol `-=` 100ml of ? M
Molarity of `AgNO_(3)` solution in the final solution `= (80xx10^(-2))/(100) = 8xx10^(-3)` M or `[Ag^(+)]=8xx10^(-3)M`
`:. ` Ionic product `=[Ag^(+)][Cl^(-)]=(8xx10^(-3))(2xx10^(-4))=16xx10^(-7) = 1.6 xx 10^(-6)`
which is greater than the solubility product. Hence, ppt. will be formed.