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A solution is saturated in SrCO(3), and ...

A solution is saturated in `SrCO_(3)`, and `SrF_(2)`. The `CO_(3)^(2-)` was found to be `10^(-3)` mol/L. If the concentration of Fin solution is represented as `yxx 10^(-2)` M then what is the value of 'y'?
[Given : `K_(sp) (SrCO_(3))= 2.5 xx10^(-10), K_(sp) (SrF_(2))= 10^(-10)]`

A

` 1.3 xx 10^(-3) M`

B

` 2.6 xx 10^(-2)`

C

` 3.7 xx 10^(-2) M`

D

` 5.8 xx 10^(-7) M`

Text Solution

Verified by Experts

The correct Answer is:
C
`[Sr^(+2) ][CO_3^(2-)] =KsP_1 ,[Sr^(+2) ][F^(-) ] ^(2) = Ksp_2`
`rArr [F^(-) ]^(2) =(Ksp_2)/(Ksp_1) xx [CO_3^(2-)]`
` [F^(-)]^(2) =(8xx 10^(-10))/( 7 xx 10 ^(-10)) xx 1.2 xx 10 ^(-3)`
` [F^(-)] =3.7 xx 10 ^(-2) `
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