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BITSAT 2016
Exam
BITSAT
Year
2016
Subject
Chemistry
Chapter
Ionic Equilibrium

BITSAT 2016 · Chemistry · Ionic Equilibrium

For a sparingly soluble salt A_ p B_ q , the relationship of its...

For a sparingly soluble salt ApBqA_{p} B_{q}, the relationship of its solubility product Ls→KspL s \rightarrow K_{s p} with its solubility (S) is

Options

  1. ALs→Ksp=Spq(pq)P+q\quad \mathrm{Ls} \rightarrow \mathrm{K}_{\mathrm{sp}}=\mathrm{S}^{\mathrm{pq}}(\mathrm{pq})^{\mathrm{P}+\mathrm{q}}
  2. BLs=Sp+q⋅\mathrmpp\mathrmqq\mathrm{Ls}=\mathrm{S}^{\mathrm{p}+\mathrm{q}} \cdot \mathrmp^{\mathrm{p}} \mathrmq^{\mathrm{q}}
  3. CLs→Ksp=Sp+q⋅\mathrmpq\mathrmqp\quad \mathrm{Ls} \rightarrow \mathrm{K}_{\mathrm{sp}}=\mathrm{S}^{\mathrm{p}+\mathrm{q}} \cdot \mathrmp^{\mathrm{q}} \mathrmq^{\mathrm{p}}
  4. DLs→Ksp=Spq\mathrmpP\mathrmqq\quad \mathrm{Ls} \rightarrow \mathrm{K}_{\mathrm{sp}}=\mathrm{S}^{\mathrm{pq}} \mathrmp^{\mathrm{P}} \mathrmq^{\mathrm{q}}

Correct answer

B. Ls=Sp+q⋅\mathrmpp\mathrmqq\mathrm{Ls}=\mathrm{S}^{\mathrm{p}+\mathrm{q}} \cdot \mathrmp^{\mathrm{p}} \mathrmq^{\mathrm{q}}

Step-by-step solution

\mathrm{ApBq} \rightleftharpoons \mathrm{pA}_{\mathrm{Sp}}^{+}+\mathrm{qB}_{\mathrm{Sq}}LetthesolubilitybeLet the solubility be\mathrm{S} \mathrm{mol} /literThus,liter Thus,Ksp=[A+]p[B−]q=[Sp]p[Sq]q=\mathrmpp⋅\mathrmqq(S)p+q\begin{aligned}\mathrm{K}_{\mathrm{sp}}&=\left[\mathrm{A}^{+}\right]^{\mathrm{p}}\left[\mathrm{B}^{-}\right]^{\mathrm{q}}\\ &=[\mathrm{Sp}]^{\mathrm{p}}[\mathrm{Sq}]^{\mathrm{q}}=\mathrmp^{\mathrm{p} \cdot} \mathrmq^{\mathrm{q}}(\mathrm{S})^{\mathrm{p}+\mathrm{q}} \end{aligned}$
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