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Question

In 1 L saturated solution of AgCl[KSP(AgCl)=1.6×1010],0.1 mol of CuCl[KSP(CuCl)=1.0×106] is added. The resultant concentration of Ag+ in the solution is 1.6×10x. The value of "x" is
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Solution

AgClAg+x+Clx+y
Ksp1=1.6×1010=x(x+y) ....(i)
CuClCu+y+Cly+x
Ksp2=1×106=y(x+y) ....(ii)
From equation (i) and (ii),
Ksp1Ksp2=1.6×104=xy ....(iii)
x=1.6×104y
Ksp1=1.6×1010=1.6×104y(1.6×104y+y)
106=y2(1.6×104+1)
y=103x=1.6×107
[Ag+]=x=1.6×107

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