Cu + HNO₃ → Cu(NO₃)₂ + NO + H₂O (Copper in Dilute Nitric Acid)

Redox & Halogens

KMnO₄ + HCl → KCl + MnCl₂ + Cl₂ + H₂O (Permanganate Oxidation of Chloride)

Classic 10-electron redox reaction reducing Mn(VII) in purple permanganate to Mn(II) while oxidizing chloride ions to chlorine gas.

Redox & Metals

Cu + HNO₃ → Cu(NO₃)₂ + NO + H₂O (Copper in Dilute Nitric Acid)

Dilute nitric acid acts as an oxidizing acid, dissolving metallic copper into blue Cu²⁺ nitrate solution and evolving nitric oxide (NO).

Ionic Redox

Cr₂O₇²⁻ + Fe²⁺ + H⁺ → Cr³⁺ + Fe³⁺ + H₂O (Ionic Charge-Balanced Redox)

Analytical redox titration equation balanced simultaneously for atomic conservation and net ionic charge (+24 on both sides).

Industrial Synthesis

N₂ + 3 H₂ → 2 NH₃ (Haber–Bosch Catalytic Ammonia Synthesis)

High-pressure catalytic nitrogen fixation over promoted iron catalyst (ΔH° = −92.2 kJ/mol), foundational to global fertilizer production.

Biochemistry

6 CO₂ + 6 H₂O → C₆H₁₂O₆ + 6 O₂ (Photosynthesis Stoichiometry)

Endergonic photochemical synthesis converting carbon dioxide and water into D-glucose and molecular dioxygen.

Biochemistry

C₆H₁₂O₆ + 6 O₂ → 6 CO₂ + 6 H₂O (Aerobic Glucose Oxidation)

Complete aerobic oxidation of glucose releasing ΔG°′ = −2870 kJ/mol across glycolysis, the citric acid cycle, and oxidative phosphorylation.

Single Displacement

Fe₂O₃ + 2 Al → 2 Fe + Al₂O₃ (Exothermic Thermite Reaction)

Intensely exothermic aluminothermic reduction (ΔH° = −851.5 kJ/mol) used for continuous rail welding.

Combustion

2 C₈H₁₈ + 25 O₂ → 16 CO₂ + 18 H₂O (Complete Octane Combustion)

Complete hydrocarbon combustion of iso-octane requiring 12.5 moles of O₂ per mole of fuel.

Coordination Chemistry

K₄[Fe(CN)₆] + 6 H₂SO₄ + 6 H₂O → 2 K₂SO₄ + FeSO₄ + 3 (NH₄)₂SO₄ + 6 CO

Multi-element coordination complex hydrolysis showcasing exact matrix balancing across 7 chemical species and 7 elements.

Industrial Synthesis

4 NH₃ + 5 O₂ → 4 NO + 6 H₂O (Ostwald Process over Pt–Rh Gauze)

First catalytic step of industrial nitric acid manufacture over platinum-rhodium gauze at 850 °C.

Acid–Base Neutralization

2 H₃PO₄ + 3 Ca(OH)₂ → Ca₃(PO₄)₂ + 6 H₂O (Polyprotic Neutralization)

Complete neutralization of triprotic phosphoric acid forming insoluble tricalcium phosphate.

Acid–Base Neutralization

H₂SO₄ + 2 NaOH → Na₂SO₄ + 2 H₂O (Diprotic Acid Neutralization)

Standard 1:2 stoichiometric neutralization between sulfuric acid and caustic soda.