The correct option is D 8.16×10−7 M and 4.08×10−7 M
Given, Ksp(AgSCN) = 10−12 and Ksp(AgBr) =5×10−13
Let the simultaneous solubility of AgSCN be x and that of AgBr is y.
Then:
AgSCN(s)⇌Ag+x+y(aq)+SCN−x(aq) AgBr(s)⇌Ag+x+y(aq)+Br−y(aq)
Ksp(AgSCN)=10−12=x(x+y)....(i)
Ksp(AgBr)=5×10−13=y(x+y)....(ii)
Dividing eq (i) by eq (ii),
xy=2
x=2y
Putting in eq (ii)
3y2=5×10−13
∴y=4.08×10−7 M and x=2y=8.16×10−7 M.
Hence, simultaneous solubility of silver thiocyanate and silver bromide in water is 8.16×10−7 M. and 4.08×10−7 Mrespectively.