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How To Calculate Molar Solubility

Molar Solubility Formula:

\[ S = \sqrt{K_{sp}} \text{ (for 1:1 electrolyte)} \]

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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, it can be calculated directly from the solubility product constant.

2. How Does The Calculator Work?

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 molar solubility equals the square root of the solubility product constant.

3. Importance Of Molar Solubility Calculation

Details: Calculating molar solubility is essential in chemistry for predicting precipitation reactions, designing analytical methods, understanding solubility equilibria, and in pharmaceutical applications where drug solubility affects bioavailability.

4. Using The Calculator

Tips: Enter the solubility product constant (K_sp) value. The value must be positive and non-zero. The calculator will compute the molar solubility in moles per liter for 1:1 electrolytes.

5. Frequently Asked Questions (FAQ)

Q1: What is a 1:1 electrolyte?
A: A 1:1 electrolyte is a compound that dissociates into one cation and one anion per formula unit, such as NaCl, AgCl, or CaSO₄.

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

Q3: What are typical K_sp values?
A: K_sp values range from very small (10⁻³⁰ for very insoluble compounds) to larger values for more soluble compounds. Common values are in the range of 10⁻⁵ to 10⁻¹⁰.

Q4: How does temperature affect molar solubility?
A: Temperature significantly affects solubility. K_sp values are temperature-dependent, so calculations should use K_sp values at the specific temperature of interest.

Q5: What about electrolytes with different stoichiometries?
A: For AB₂ type electrolytes (like CaF₂), the formula is S = ∛(K_sp/4); for A₂B type, it's S = ∛(K_sp/4); and for AB₃ type, it's S = ⁴√(K_sp/27).

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