What is the minimum concentration of sulfate ion, SO4 2- that must be present in a 0.050 M solution of Ca2+ to cause a precipitate to form? The K sp for calcium sulfate, CaSO4, is 7.10 × 10-5

Respuesta :

Answer:

[[tex]SO_4^{-2}[/tex] ]minimum=1.42*[tex]10^{-3}[/tex]M

Explanation:

Precipitate occurs only when the ionic product is greater than the solubility product.

I.e. Kip>Ksp  

And from above equation it is clearly that the minimum value of Kip is equal to Ksp

[tex]CaSO_4[/tex] (aq)  = [tex]Ca^{+2}[/tex] (aq)+[tex]SO^{-2}[/tex] (aq);

Ksp=[[tex]Ca^{+2}[/tex]][[tex]SO_4^{-2}[/tex]];

Hence Kip=Ksp; minimum value of Kip is equal to Ksp and this will give the minimum concentration of SO4-2 to precipitate the 0.050 M solution of Ca2+

Kip = [[tex]Ca^{+2}[/tex]][[tex]SO_4^{-2}[/tex]]  = Ksp=7.10 × 10-5

[[tex]SO_4^{-2}[/tex]]  =Ksp/[[tex]Ca^{+2}[/tex]] ;

[[tex]SO_4^{-2}[/tex]]=(7.10 × 10-5)/0.050;

[[tex]SO_4^{-2}[/tex]]minimum=1.42*[tex]10^{-3}[/tex] M