NEET 2026 ALL Q #1979
COMPETENCY BASED
APPLY
4 Marks 2026 NTA-RE-NEET-2026 MCQ SINGLE
The correct order of solubility of the given salts in water at 298 K is: Salt | $K_{sp}$ at 298 K: AgBr | $5.0\times10^{-13}$, $Zn(OH)_{2}$ | $1.0\times10^{-15}$, $Hg_{2}Cl_{2}$ | $1.3\times10^{-18}$
(A) $Zn(OH)_{2}>AgBr>Hg_{2}Cl_{2}$
(B) $Hg_{2}Cl_{2}>Zn(OH)_{2}>AgBr$
(C) $AgBr>Zn(OH)_{2}>Hg_{2}Cl_{2}$
(D) $Hg_{2}Cl_{2}>AgBr>Zn(OH)_{2}$
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Correct Answer: A

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Detailed Solution

Step 1: Understand the relationship between Ksp and Solubility (S)

The solubility (S) of a salt depends on its stoichiometry. For a salt $M_xA_y$, the solubility product is given by $K_{sp} = (xS)^x (yS)^y = x^x y^y S^{(x+y)}$.

Step 2: Calculate Solubility for each salt

For AgBr (1:1 type): $K_{sp} = S^2 \implies S = \sqrt{K_{sp}} = \sqrt{5.0 \times 10^{-13}} \approx 7.07 \times 10^{-7} \, M$.

Step 3: Calculate Solubility for Zn(OH)2

For Zn(OH)2 (1:2 type): $K_{sp} = 4S^3 \implies S = \sqrt[3]{K_{sp}/4} = \sqrt[3]{1.0 \times 10^{-15} / 4} = \sqrt[3]{0.25 \times 10^{-15}} \approx 0.63 \times 10^{-5} = 6.3 \times 10^{-6} \, M$.

Step 4: Calculate Solubility for Hg2Cl2

For Hg2Cl2 (2:2 or 1:1 simplified stoichiometry, but it dissociates as $Hg_2^{2+} + 2Cl^-$): $K_{sp} = 4S^3 \implies S = \sqrt[3]{1.3 \times 10^{-18} / 4} \approx \sqrt[3]{0.325 \times 10^{-18}} \approx 0.68 \times 10^{-6} = 6.8 \times 10^{-7} \, M$.

Step 5: Compare the values

Comparing the calculated solubilities: $Zn(OH)_2 (6.3 \times 10^{-6}) > AgBr (7.07 \times 10^{-7}) > Hg_2Cl_2 (6.8 \times 10^{-7})$.

Final Answer: A

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Pedagogical Audit
Bloom's Analysis: This is an APPLY question because students must apply the mathematical relationship between solubility product constants and molar solubility across different stoichiometric salt types.
Knowledge Dimension: PROCEDURAL
Justification: The student must follow a specific algorithmic process to convert Ksp values into molar solubility based on the dissociation stoichiometry of each unique salt.
Syllabus Audit: In the context of NEET, this is classified as COMPETENCY. This question tests the ability to interpret chemical equilibrium data beyond simple memorization, requiring calculation and comparative analysis.

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