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PKa Inorganic Acid Base Hydrated Metal Ion Monoprotic Diprotic Triprotic Tetraprotic

Reference data and engineering information about pka inorganic acid base hydrated metal ion monoprotic diprotic triprotic tetraprotic for material properties applications.

pKainorganicacidbase

Overview

Engineering reference data for PKa Inorganic Acid Base Hydrated Metal Ion Monoprotic Diprotic Triprotic Tetraprotic in material science and properties.

Key Formulas

Stress

σ=FA\sigma = \frac{F}{A}

Force per unit area.

Strain

ε=ΔLL0\varepsilon = \frac{\Delta L}{L_0}

Change in length per original length.

Hooke's Law

σ=Eε\sigma = E \varepsilon

Stress proportional to strain in elastic region.

Thermal Expansion

ΔL=αL0ΔT\Delta L = \alpha L_0 \Delta T

Length change due to temperature.

Variables

SymbolDescriptionUnit
σ\sigmaStressPa
ε\varepsilonStrain
EEYoung's modulusPa
α\alphaThermal expansion coefficient1/°C
ΔT\Delta TTemperature change°C

DataTable: Inorganic Acid & Base pKa Values

8 rows
Selected pKₐ values for inorganic acids, bases, and hydrated metal ions. Values are measured at 25°C unless noted. For bases (marked with *), the pKₐ is for the conjugate acid BH⁺.
Acid / Base Name
Formula
pKₐ₁
pKₐ₂
pKₐ₃
pKₐ₄
AmmoniaNH₃9.24
Arsenious acidH₃AsO₃9.29
Boric acidH₃BO₃9.24
Carbonic acidH₂CO₃6.3510.33
Phosphoric acidH₃PO₄2.167.2112.32
Sulfuric acidH₂SO₄-31.99
Aluminium(III) ionAl³⁺4.85
Iron(III) ionFe³⁺2.17

Source: engineeringtoolbox.com

Important Definitions & Formulas

The acid dissociation constant (Kₐ) quantifies acid strength in solution. For the generic dissociation:

HA+H2OA+H3O+\text{HA} + \text{H}_2\text{O} \rightleftharpoons \text{A}^- + \text{H}_3\text{O}^+

The simplified expression, where the concentration of water is treated as constant, is:

Ka=[A][H+][HA]K_a = \frac{[\text{A}^-][\text{H}^+]}{[\text{HA}]}

The pKₐ is the negative base-10 logarithm of Kₐ:

pKa=log10(Ka)\text{p}K_a = -\log_{10}(K_a)

A key relationship connects pH, pKₐ, and the ratio of conjugate base to acid:

pH=pKa+log10([A][HA])\text{pH} = \text{p}K_a + \log_{10}\left(\frac{[\text{A}^-]}{[\text{HA}]}\right)

Key Insights:

  • A larger pKₐ indicates a weaker acid (less dissociation).
  • When pH=pKa\text{pH} = \text{p}K_a, the solution contains equal concentrations of the acid and its conjugate base ([A]=[HA][\text{A}^-] = [\text{HA}]).
  • Polyprotic acids (e.g., H₃PO₄, H₂CO₄) have multiple dissociation steps and corresponding pKₐ values (pKₐ₁, pKₐ₂, ...).
  • For a base (B), the dissociation of its conjugate acid (BH⁺) is described: BH+B+H+\text{BH}^+ \rightleftharpoons \text{B} + \text{H}^+. The pKₐ for this reaction is listed in the table (marked with *).

Interactive Charts

Fractions of acid ions as function of pH

References