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Henry's Law and Gas Solubility

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Dalton's Law of Partial PressuresSolution Concentration→
henrys-law solubility gas pressure

Core Idea

Henry's law states that the solubility of a gas is directly proportional to the partial pressure of that gas above the solution (at constant temperature). Increased pressure forces more gas molecules into solution; increased temperature decreases gas solubility by increasing molecular motion. This law applies to ideal solutions of gases.

Explainer

From Dalton's law and the concept of partial pressure, you know that each gas in a mixture exerts its own pressure independently, proportional to its mole fraction. Henry's law extends this idea to the liquid phase: the amount of gas that dissolves in a liquid is directly proportional to the partial pressure of that gas above the liquid. The mathematical expression is simple: C = kH × P, where C is the concentration of dissolved gas, P is the partial pressure of the gas above the solution, and kH is the Henry's law constant — a value specific to each gas-solvent pair at a given temperature.

The physical picture is straightforward. Gas molecules are constantly striking the liquid surface. Some bounce off; some penetrate and dissolve. At the same time, dissolved gas molecules near the surface escape back into the gas phase. At equilibrium, the rate of dissolution equals the rate of escape. If you increase the partial pressure of the gas — by pumping more gas into the space above the liquid — more molecules strike the surface per second, and more dissolve until a new, higher equilibrium concentration is reached. Double the pressure, double the dissolved concentration. This linear relationship is Henry's law.

The most familiar example is carbonated beverages. Carbon dioxide is dissolved in soda under high pressure (typically 2–4 atmospheres of CO₂). When you open the bottle, the partial pressure of CO₂ above the liquid drops to atmospheric levels (about 0.0004 atm), and Henry's law predicts a dramatic decrease in solubility. The excess dissolved CO₂ comes out of solution as bubbles — that is the fizz. If you leave the bottle open, it eventually goes flat as dissolved CO₂ equilibrates with the tiny partial pressure of CO₂ in the atmosphere. Divers encounter the same principle: at depth, the elevated pressure causes more nitrogen to dissolve in blood. Rising too quickly drops the pressure faster than nitrogen can leave the blood gradually, forming bubbles that cause decompression sickness (the bends).

Temperature works against gas solubility — unlike most solids, gases become *less* soluble as temperature rises. Higher temperature gives dissolved gas molecules more kinetic energy, making them more likely to escape the liquid. This is why a warm soda goes flat faster than a cold one, and why aquatic organisms can be stressed by warm water that holds less dissolved oxygen. Henry's law applies best to dilute solutions of gases that do not react chemically with the solvent. Gases like HCl or NH₃ that react extensively with water deviate from Henry's law because the chemical reaction removes dissolved gas, pulling more into solution than pressure alone would predict.

Practice Questions 5 questions

Prerequisite Chain

Understanding Zero → The Number Zero → Counting to Five → Counting to 10 → Counting to 20 → Counting a Set of Objects Up to 20 → Cardinality: The Last Number Counted → Matching Numerals to Quantities → Subitizing Small Quantities → Addition Within 10 → Number Bonds to 10 → Addition Within 20 → Doubles and Near Doubles → Doubles Facts Within 10 → Near Doubles Facts Within 20 → Mental Math Strategies for Addition → Mental Math: Adding and Subtracting Tens → Addition Within 100 → Repeated Addition as Multiplication → Multiplication as Equal Groups → Multiplication: Arrays → Basic Multiplication Facts (0s, 1s, 2s, 5s, 10s) → Multiplication Facts Within 100 → Division as Equal Sharing → Division as Grouping (Measurement Division) → Division: Grouping (Repeated Subtraction) Model → Division: Fair Sharing Model → Division as Equal Sharing → Division as Grouping → Basic Division Facts → Division Facts Within 100 → Multiplication and Division Fact Families → Relationship Between Multiplication and Division → Division Facts as Inverse of Multiplication → Remainders and Quotients in Division → Division Word Problems → Multi-Step Word Problems → Solving Multi-Step Word Problems → Multiplication Word Problems → Division Word Problems → Introduction to Long Division → Factors and Multiples → Prime and Composite Numbers → Equivalent Fractions → Relating Fractions and Decimals → Decimal Place Value → Integers and the Number Line → Comparing and Ordering Integers → Absolute Value → Adding Integers → Subtracting Integers → Multiplying Integers → Dividing Integers → Unit Rates → Proportions → Percent Concept → Converting Between Fractions, Decimals, and Percents → Operations with Rational Numbers → Two-Step Equations → Solving Multi-Step Equations → Equations with Variables on Both Sides → Angle Pairs: Complementary, Supplementary, and Vertical → Parallel Lines and Transversals → Corresponding Angles → Alternate Interior Angles → Triangle Angle Sum Theorem → Exterior Angle Theorem → Triangle Inequality Theorem → Similar Triangles: AA Similarity → Similar Triangles: SSS and SAS Similarity → Proportions in Similar Triangles → Right Triangle Trigonometry Introduction → Sine, Cosine, and Tangent Ratios → Trigonometric Ratios Review → Radian Measure → Converting Between Degrees and Radians → The Unit Circle → Graphing Sine and Cosine → Graphing Tangent and Reciprocal Trigonometric Functions → Derivatives of Trigonometric Functions → Antiderivatives → Indefinite Integrals → Basic Integration Rules → Riemann Sums → Definite Integral Definition → Double Integrals: Definition and Setup → Iterated Integrals and Fubini's Theorem → Double Integrals over Rectangular Regions → Double Integrals over General Regions → Applications of Double Integrals: Area, Mass, and Moments → Triple Integrals in Cartesian Coordinates → Triple Integrals in Cylindrical and Spherical Coordinates → Change of Variables and the Jacobian Determinant → Applications of Triple Integrals: Volume and Mass → Vector Fields and Their Representations → Line Integrals of Vector Fields → Work and Circulation → Line Integrals of Scalar and Vector Functions → Fundamental Theorem for Line Integrals → Conservative Vector Fields → Conservative Vector Fields and Potential Functions → Curl and Divergence of Vector Fields → Curl and Divergence → Divergence Theorem → Electric Flux and Divergence Theorem → Gauss's Law: Integral Form and Meaning → Solving Problems with Gauss's Law → Conductors in Electrostatic Equilibrium → Capacitance and Capacitors → Dielectrics → Dielectric Constant and Relative Permittivity → Electric Field Inside Dielectric Materials → Dielectric Materials and Polarization → Dielectric Susceptibility and Permittivity → Energy Density in Electric Fields → Electric Current and Current Density → Electrical Resistance and Resistivity → Ohm's Law and Circuit Elements → Electromotive Force (EMF) and Batteries → Kirchhoff's Circuit Laws: Voltage and Current → DC Circuit Network Analysis Methods → Transient Response in RC Circuits → RC Circuits → LC and RLC Circuits → AC Circuits: Fundamentals → Impedance and Reactance → AC Power and Resonance → Electromagnetic Waves → Postulates of Special Relativity → Time Dilation → Length Contraction → Lorentz Transformation → Relativistic Velocity Addition → Relativistic Momentum and Energy → Mass-Energy Equivalence and E=mc² → Photons as Particles with Energy and Momentum → Planck-Einstein Relation: Energy and Frequency → Photoelectric Effect → The Photon: Light as Quanta → Compton Scattering → Wave-Particle Duality → de Broglie Wavelength → The Schrödinger Equation → State Vectors and Wavefunctions → Quantum Superposition → Quantum Entanglement → Bell Theorem and Bell Inequalities → Postulates of Quantum Mechanics → Observables and Quantum Operators → Commutators and Commutation Relations → Quantum Angular Momentum → Quantum Mechanical Treatment of Hydrogen → Solving the Schrödinger Equation for Hydrogen Atom → Quantum Numbers → Electron Configuration → Periodic Trends → Covalent Bonding → Electronegativity and Bond Polarity → Ionic Bonding → Lewis Structures → VSEPR Theory and Molecular Geometry → Molecular Geometry and Electron Pair Geometry → Molecular Polarity and Dipole Moments → Intermolecular Forces → States of Matter and Phase Changes: Melting, Boiling, and Sublimation → Gas Laws and the Ideal Gas Equation → Gas Stoichiometry and Volume-Volume Calculations → Dalton's Law of Partial Pressures → Henry's Law and Gas Solubility

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