1.

Explain relation of solubility (S) and K_(sp).

Answer»

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Solution :`M_x^(p+) X_y^(q-)` is a sparingly SOLUBLE salt and solubility is S mol `L^(-1)`. The amount of this salt is dissolve in solution is totally in the form of ions. In solution 1 MOLECULE `xM^(p+)` positive ion and `yX^(q-)` negative ion and form , from this salt and ionic equation is as follows .
`M_x^(p+) X_(y(s))^q hArr xM_((aq))^(p+) +yX_((aq))^(q-)` ...(Eq.-i)
Where `(x XX p^(+) = yxxq^(-))`
The concentration of solid salt MIX with `K_(sp)`, So solubility product is as follows .
`K_(sp)=[M^(p+)]^x [X^(q-)]^y`
But applying stoichiometry and S
`K_(sp)=(x S)^x (S)^y`
`=x^x xx y^y (S)^((x+y))`...(Eq.-ii)
`therefore (S)^((x+y)) = K_(sp)/(x^x y^y)`
`therefore S=K_(sp)/((x^x xx y^y)^(1//x+y))`....(Eq.-iii)


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