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The solubility product ofa sparingly sol...

The solubility product ofa sparingly soluable salt AB at room temperature is `1.21 xx 10^(-6).` Its molar solubility is

A

`1.21 xx 10 ^(-6)`

B

`1.21 xx 10 ^(-3)`

C

`1.1 xx 10 ^(-4)`

D

`1.1 xx 10 ^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
For a saturated solution of a sparingly soluble salt AB , the following soubility equilibrium would exist. AB (Saturated salt solution) `hArr A^(+)(aq) + + B ^(-) (aq)`
If the molar solubility of the salt is S then `[A ^(+)]= S mol dm ^(-3) , [B^(-)]= s mol dm ^(-3).` Therefore, solubility product is given by
`K _(sp) = [A ^(+)] [B ^(-)] = (S) (S)= S ^(2)`
GIven that `K _(sp) = 1. 21 xx 10 ^(-6) , `so, the molar solubility is , `S = sqrt ( K _(sp)) = sqrt (1. 2 1 xx 10 ^(-6)) = 1.1 xx 10 ^(-3)`
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