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One dm^(3) solution containing 10^(-5) m...

One `dm^(3)` solution containing `10^(-5)` moles each of `Cl^(-)` ions and `CrO_(4)^(2-)` ions is treated with `10^(-4)` moles of silver nitrate. Which one of the following observations is made ?
`[K_(sp)Ag_(2)CrO_(4)=4xx10^(-12)]`
`[K_(sp)AgCl=1xx10^(-10)]`

A

Precipitation does not occur

B

Silver chromate gets precipitated first

C

Silver chloride gets precipitated first

D

Both silver chromate and silver chloride start precipitating simultaneously.

Text Solution

Verified by Experts

The correct Answer is:
A
`K_(w)(Ag_(2)CrO_(4))=[Ag^(+)]^(2)[CrO_(4)^(2-)]`
`=[10^(-4)]^(2)[10^(-5)]=10^(-13)`
`K_(w)=(AgCl)=[Ag^(+)][Cl^(-)]`
`=[10^(-4)][10^(-5)]=10^(-9)`.
For both AgCl and `Ag_(2)CrO_(4), K_(w)` is less then their `K_(sp)` values. Therefore, precipitation does not occur.
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