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The molar solubility (in mol L⁻¹) of a sparingly soluble salt MX4 is 's'. The corresponding solubility product is Ksp. 's' is given in term of Ksp by the relation
- s = (256 Ksp)^(1/5)
- s = (128 Ksp)^(1/4)
- s = (Ksp/128)^(1/4)
- s = (Ksp/256)^(1/5)
Correct answer: s = (Ksp/256)^(1/5)
Solution
The correct option relates the molar solubility 's' of the salt MX4 to its solubility product Ksp by recognizing that the dissolution of MX4 produces one mole of M and four moles of X, leading to the expression Ksp = [M][X]⁴. By substituting the concentrations in terms of 's', we derive the relationship s = (Ksp/256)^(1/5), which accurately reflects the stoichiometry of the dissolution process.
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