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Ostwald's Dilution Law

Ka = α²c/(1-α) ≈ α²c for weak electrolyte; α = degree of dissociation
Quick Reference
Formula / NotationKa = α²c/(1-α) ≈ α²c for weak electrolyte; α = degree of dissociation
Also Known AsOstwald dilution law, weak electrolyte dissociation law, α-c relationship

What is Ostwald's Dilution Law?

A relationship derived from the equilibrium constant that describes how the degree of dissociation of a weak electrolyte varies with dilution. As concentration decreases, degree of dissociation increases. For weak acids: Ka = α²c/(1-α), where α is degree of dissociation and c is concentration.

Formula & Notation

Ka = α²c/(1-α) ≈ α²c for weak electrolyte; α = degree of dissociation

Other Names / Synonyms: Ostwald dilution law, weak electrolyte dissociation law, α-c relationship

Properties & Characteristics

Ostwald's dilution law relates the degree of dissociation (α) of a weak electrolyte to its concentration (c) and dissociation constant (Ka): Ka = α²c/(1−α). For dilute solutions (α << 1): Ka ≈ α²c, so α ≈ √(Ka/c). This shows that the degree of dissociation increases as the solution is diluted: weak acids are more completely dissociated in very dilute solution. Derived by Wilhelm Ostwald in 1888 from the law of mass action.

Uses & Applications

Ostwald's dilution law is used in: calculating the degree of dissociation and pH of weak acid/base solutions at various concentrations, understanding why weak electrolytes conduct electricity more freely at higher dilution (molar conductivity increases — Kohlrausch's law), and in designing buffer systems at specific dilution conditions.

Safety Information

No direct safety concern. Ostwald's law explains why diluting a weak acid initially increases the fractional dissociation, which can cause unexpected pH values if miscalculated. In pharmaceutical quality control, dilution of weak acid drug solutions must account for this effect when setting pH specifications.

Always consult the SDS/MSDS before handling any chemical. This information is for educational purposes only.

Key Facts

Term Ostwald's Dilution Law
Formula Ka = α²c/(1-α) ≈ α²c for weak electrolyte; α = degree of dissociation
Synonyms Ostwald dilution law, weak electrolyte dissociation law, α-c relationship

Frequently Asked Questions

A relationship derived from the equilibrium constant that describes how the degree of dissociation of a weak electrolyte varies with dilution. As concentration decreases, degree of dissociation increases. For weak acids: Ka = α²c/(1-α), where α is degree of dissociation and c is concentration.

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