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Question

A mixture of H2O and solid AgCl shaken to obtain saturated solution. The solid is filtered and to 100mL filtrate, 100mL of 0.03M NaBr is added, will a precipitate formed?
KspAgCl=1010,KspAgBr=5×1013

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Solution

Let solubility of AgCl is 'S'
KspAgCl=S2
S=Ksp=105
When 100mL of both AgCl and NaBr are mixed concentration of Ag+ and Br will be:
[Ag+]=100×105200=0.5×105M
[Br]=100×0.03200=0.015M
Ionic product of AgBr=0.5×105×0.015=7.5×108
Since, ionic product of AgBr is greater than its solublity product, hence AgBr will be precipitated.

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