The Ksp of Ag2CrO4 is 1.1×10−12 at 298 K. The solubility (in mole / 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 In presece of common ion (in this case Ag+ ion) solubility of sparingly soluble salt is decreased. Let solubility of Ag2CrO4 in presence of 0.1 M AgNO3=xAg2CrO4⇌2Ag+2x+CrO2−4xAgNO3⇌Ag+0.1+NO−30.1 Total [Ag+]=(2x+0.1)M=0.1Masx<<<0.1M[CrO2−4]=xMThus,[Ag+]2[CrO2−4]=Ksp(0.1)2(x)=1.1×10−12∴x=1.1×10−10M