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Question

The Ksp of Ag2CrO4 is 1.1×1012 at 298 K. The solubility (in mole / L) of Ag2CrO4 in a 0.1 M AgNO3 solution is

A
1.1×1011
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B
1.1×1010
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C
1.1×1012
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D
1.1×109
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Solution

The correct option is B 1.1×1010
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=xAg2CrO42Ag+2x+CrO24xAgNO3Ag+0.1+NO30.1
Total [Ag+]=(2x+0.1)M=0.1M as x<<<0.1M[CrO24]=xMThus, [Ag+]2[CrO24]=Ksp (0.1)2(x)=1.1×1012 x=1.1×1010 M

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