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NEET CHEMISTRYEquilibriumEasy

Question

What is the molarity of the saturated solution if the solubility product for a salt of type AB is 4×1084 \times 10^{-8}?

A

2×104 mol/L2 \times 10^{-4} \text{ mol/L}

B

16×1016 mol/L16 \times 10^{-16} \text{ mol/L}

C

2×1016 mol/L2 \times 10^{-16} \text{ mol/L}

D

4×104 mol/L4 \times 10^{-4} \text{ mol/L}

Step-by-Step Solution

For a salt of type AB\text{AB}, the dissociation equilibrium in its saturated solution is: AB(s)A+(aq)+B(aq)\text{AB}(s) \rightleftharpoons \text{A}^+(aq) + \text{B}^-(aq)

If SS is the molar solubility (molarity of the saturated solution), then the equilibrium concentrations of the ions are: [A+]=S[\text{A}^+] = S [B]=S[\text{B}^-] = S

The solubility product constant (KspK_{sp}) is given by the product of the ion concentrations: Ksp=[A+][B]=S×S=S2K_{sp} = [\text{A}^+][\text{B}^-] = S \times S = S^2

Given that Ksp=4×108K_{sp} = 4 \times 10^{-8}: S2=4×108S^2 = 4 \times 10^{-8} S=4×108=2×104 mol/LS = \sqrt{4 \times 10^{-8}} = 2 \times 10^{-4} \text{ mol/L}

Therefore, the molarity of the saturated solution is 2×104 mol/L2 \times 10^{-4} \text{ mol/L}.

Exam Context & Concepts Covered

This question aligns with the NEET CHEMISTRY syllabus, specifically targeting concepts from Equilibrium. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.

CHEMISTRYEquilibriummolaritysaturatedsolutionsolubilityproduct

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