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Question

Calculate simultaneous solubility of silver thiocyanate (AgSCN)and silver bromide (AgBr) in water respectively.
Given that Ksp of silver thiocyanate = 1012 and Ksp of silver bromide =5×1013 .

A
4.16×107 M and 2.08×107 M
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B
2.08×1012 M and 4.16×1012 M
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C
5.08×109 M and 9.16×109 M
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D
8.16×107 M and 4.08×107 M
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Solution

The correct option is D 8.16×107 M and 4.08×107 M
Given, Ksp(AgSCN) = 1012 and Ksp(AgBr) =5×1013

Let the simultaneous solubility of AgSCN be x and that of AgBr is y.

Then:
AgSCN(s)Ag+x+y(aq)+SCNx(aq) AgBr(s)Ag+x+y(aq)+Bry(aq)

Ksp(AgSCN)=1012=x(x+y)....(i)
Ksp(AgBr)=5×1013=y(x+y)....(ii)

Dividing eq (i) by eq (ii),
xy=2
x=2y
Putting in eq (ii)
3y2=5×1013
y=4.08×107 M and x=2y=8.16×107 M.

Hence, simultaneous solubility of silver thiocyanate and silver bromide in water is 8.16×107 M. and 4.08×107 Mrespectively.

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