Which of the following is/are correct for the saturated solution of `Ca_(3)(PO_(4))_(2)` salt if its `K_(SP)` is `2.05xx10^(-33)` ?

Options

A. Solubility of `Ca_(3)PO_(4)` is `1.63xx10^(-6)M`
B. `[PO_(4)^(3-)]_(eq.)=3.26xx10^(-6)M`
C. `[Ca^(2+)]_(eq.)=4.89xx10^(-6)M`
D. `[Ca_(3)PO_(4)]_(eq.)=1`

Answer

A, B, C

Explanation

`Ca_(3)(PO_(4))_(2)(s)hArrunderset(3S)(3Ca^(2+))+underset(2S)(2PO_(4)^(3-))`
`K_(SP)= 2.05xx10^(-33)=108S^(5)`
`:. S= 1.63xx10^(-6)M`
`:. [PO_(4)^(3-)]=2xx1.63xx10^(-6)`
`= 3.26xx10^(-6)M`
`[Ca^(2+)]=3xx1.63xx10^(-6)= 4.89xx10^(-6)M`
`[Ca_(3)PO_(4)]_(eq.)=0`, because all the salt is in ionic state.