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How To Calculate Molar Solubility From Ksp

Molar Solubility Formula for 1:1 Electrolytes:

\[ S = \sqrt{K_{sp}} \]

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1. What is Molar Solubility?

Molar solubility refers to the maximum amount of a substance that can dissolve in a given amount of solvent at a specific temperature, expressed in moles per liter (mol/L). For 1:1 electrolytes, the molar solubility can be directly calculated from the solubility product constant (Ksp).

2. Understanding the Formula

The calculator uses the molar solubility formula for 1:1 electrolytes:

\[ S = \sqrt{K_{sp}} \]

Where:

Explanation: This formula applies specifically to 1:1 electrolytes where the dissolution reaction follows the pattern AB(s) ⇌ A⁺(aq) + B⁻(aq). The square root relationship arises from the equilibrium expression Ksp = [A⁺][B⁻] = S × S = S².

3. Importance of Solubility Calculations

Details: Calculating molar solubility from Ksp is essential in chemistry for predicting precipitation, designing separation processes, understanding solubility behavior in various conditions, and applications in pharmaceutical and environmental sciences.

4. Using the Calculator

Tips: Enter the solubility product constant (Ksp) as a positive number. The calculator will compute the molar solubility in mol/L. Ensure the Ksp value is for a 1:1 electrolyte system.

5. Frequently Asked Questions (FAQ)

Q1: What are 1:1 electrolytes?
A: 1:1 electrolytes are compounds that dissociate into one cation and one anion in solution, such as NaCl, AgCl, or CaSO₄.

Q2: Does this formula work for all electrolytes?
A: No, this specific formula (S = √Ksp) only applies to 1:1 electrolytes. Other stoichiometries require different formulas.

Q3: What units should I use for Ksp?
A: Ksp is unitless, but it represents the product of ion concentrations. Ensure your Ksp value matches the concentration units used in the calculation.

Q4: How does temperature affect solubility?
A: Temperature significantly affects both solubility and Ksp values. Ksp values are typically given at specific temperatures (usually 25°C).

Q5: What if my compound has a different stoichiometry?
A: For compounds with different stoichiometries (like 1:2 or 2:3), you'll need to use different formulas derived from their specific equilibrium expressions.

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