The KspofAg2CrO4is1.1×10−12at298K. The solubility (in mol/L) of Ag2CrO4 in a 0.1MAgNO3 solution is
A
1.1×10−11
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B
1.1×10−10
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C
1.1×10−12
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D
1.1×10−9
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Solution
The correct option is B1.1×10−10 PLAN In presence common ion (in this case Ag+ ion) solubiility of sparingly soluble salt is decreased.
Let solubility of Ag2CrO4 in presence of 0.1 M AgNO3=x Ag2CrO4⇌2Ag++CrO2−4 AgNO3⇌Ag+0.1+NO−30.1
Total [Ag+] = (2x + 0.1) M ≈ 0.1 M
as x <<< 0.1 M [CrO2−4]=xM
Thus, [Ag+]2[CrO2−4]=Ksp (0.1)2(x)=1.1×1012 ∵x=1.1×10−10M