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Question: Answered & Verified by Expert
If the solubility is represented as ' \( \mathrm{S} \) ' \( \mathrm{mol} \mathrm{L} \) and the solubility product as \( \mathrm{K}_{\mathrm{sp}} \), the relation between the two for \( \mathrm{Zr}_{3}\left(\mathrm{PO}_{4}\right)_{4} \)
is
ChemistryIonic EquilibriumJEE Main
Options:
  • A \( \mathrm{S}=\left(\frac{\mathrm{K}_{\mathrm{sp}}}{108}\right)^{1 / 7} \)
  • B \( \mathrm{S}=\left(\frac{\mathrm{K}_{\mathrm{sp}}}{27}\right)^{1 / 3} \)
  • C \( \mathrm{S}=\left(\frac{\mathrm{K}_{\mathrm{m}}}{6912}\right)^{1 / 7} \)
  • D \( \mathrm{S}=\left(\frac{\mathrm{K}_{\mathrm{sp}}}{108}\right)^{1 / 5} \)
Solution:
1773 Upvotes Verified Answer
The correct answer is: \( \mathrm{S}=\left(\frac{\mathrm{K}_{\mathrm{m}}}{6912}\right)^{1 / 7} \)

Zr3PO443Zr+4+4PO4-3InitialSFinal03S4S

Ksp=3S34S4Ksp=27S3×64S4Ksp=6912S7S=Ksp69121/7

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