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A solution contains 0.05M of each of NaC...

A solution contains 0.05M of each of NaCl and `Na_(2),CrO_(4)`,. Solid `AgNO_(3)`, is gradually added to it. Whichof the following facts true
(Given: `K_(sp)(AgCl) = 1.7xx 106(-10) M^(2)` and `K_(sp)(Ag_(2),CrO_(4),) = 1.9 xx 10^(-12) M^(3)`:

A

`Cl^(-) ` ions are precipitated first

B

`CrO_4^(2-)` ions are precipitated first

C

Both `Cl^(-) and CrO_4^(2-)` ions are precipitated together

D

The second ion starts precipitating when ` [1^(st) ion ] =2.758 xx 10^(-5)`

Text Solution

Verified by Experts

The correct Answer is:
A, D
` (a) [Ag^(+) ] _(cl^(-)) = ( 1.7 xx 10^(_10) )/(5xx 10 ^(_2)) =3.4 xx 10 ^(_9) M`
` [Ag^(+) ]_(CrO_4^(_2) ) = sqrt( (1.9 xx 10^(-12))/(5 xx 10 ^(_2)))=6.1 xx 10 ^(_6) M`
` Cl^(_) ` Starts precipitation first
` [Cl^(-)] =(K_(sp))/( [Ag^(+)]_(CrO_4^(_2)))= (1.7 xx 10 ^(-10))/(6.1 xx 10^(_6)) `
` " " = 2.78 xx 10 ^(_5) M`
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