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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 ZeroThe Number ZeroCounting to FiveCounting to 10Counting to 20Counting a Set of Objects Up to 20Cardinality: The Last Number CountedMatching Numerals to QuantitiesSubitizing Small QuantitiesAddition Within 10Number Bonds to 10Addition Within 20Doubles and Near DoublesDoubles Facts Within 10Near Doubles Facts Within 20Mental Math Strategies for AdditionMental Math: Adding and Subtracting TensAddition Within 100Repeated Addition as MultiplicationMultiplication as Equal GroupsMultiplication: ArraysBasic Multiplication Facts (0s, 1s, 2s, 5s, 10s)Multiplication Facts Within 100Division as Equal SharingDivision as Grouping (Measurement Division)Division: Grouping (Repeated Subtraction) ModelDivision: Fair Sharing ModelDivision as Equal SharingDivision as GroupingBasic Division FactsDivision Facts Within 100Multiplication and Division Fact FamiliesRelationship Between Multiplication and DivisionDivision Facts as Inverse of MultiplicationRemainders and Quotients in DivisionDivision Word ProblemsMulti-Step Word ProblemsSolving Multi-Step Word ProblemsMultiplication Word ProblemsDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueIntegers and the Number LineComparing and Ordering IntegersAbsolute ValueAdding IntegersSubtracting IntegersMultiplying IntegersDividing IntegersUnit RatesProportionsPercent ConceptConverting Between Fractions, Decimals, and PercentsOperations with Rational NumbersTwo-Step EquationsSolving Multi-Step EquationsEquations with Variables on Both SidesAngle Pairs: Complementary, Supplementary, and VerticalParallel Lines and TransversalsCorresponding AnglesAlternate Interior AnglesTriangle Angle Sum TheoremExterior Angle TheoremTriangle Inequality TheoremSimilar Triangles: AA SimilaritySimilar Triangles: SSS and SAS SimilarityProportions in Similar TrianglesRight Triangle Trigonometry IntroductionSine, Cosine, and Tangent RatiosTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIndefinite IntegralsBasic Integration RulesRiemann SumsDefinite Integral DefinitionDouble Integrals: Definition and SetupIterated Integrals and Fubini's TheoremDouble Integrals over Rectangular RegionsDouble Integrals over General RegionsApplications of Double Integrals: Area, Mass, and MomentsTriple Integrals in Cartesian CoordinatesTriple Integrals in Cylindrical and Spherical CoordinatesChange of Variables and the Jacobian DeterminantApplications of Triple Integrals: Volume and MassVector Fields and Their RepresentationsLine Integrals of Vector FieldsWork and CirculationLine Integrals of Scalar and Vector FunctionsFundamental Theorem for Line IntegralsConservative Vector FieldsConservative Vector Fields and Potential FunctionsCurl and Divergence of Vector FieldsCurl and DivergenceDivergence TheoremElectric Flux and Divergence TheoremGauss's Law: Integral Form and MeaningSolving Problems with Gauss's LawConductors in Electrostatic EquilibriumCapacitance and CapacitorsDielectricsDielectric Constant and Relative PermittivityElectric Field Inside Dielectric MaterialsDielectric Materials and PolarizationDielectric Susceptibility and PermittivityEnergy Density in Electric FieldsElectric Current and Current DensityElectrical Resistance and ResistivityOhm's Law and Circuit ElementsElectromotive Force (EMF) and BatteriesKirchhoff's Circuit Laws: Voltage and CurrentDC Circuit Network Analysis MethodsTransient Response in RC CircuitsRC CircuitsLC and RLC CircuitsAC Circuits: FundamentalsImpedance and ReactanceAC Power and ResonanceElectromagnetic WavesPostulates of Special RelativityTime DilationLength ContractionLorentz TransformationRelativistic Velocity AdditionRelativistic Momentum and EnergyMass-Energy Equivalence and E=mc²Photons as Particles with Energy and MomentumPlanck-Einstein Relation: Energy and FrequencyPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsObservables and Quantum OperatorsCommutators and Commutation RelationsQuantum Angular MomentumQuantum Mechanical Treatment of HydrogenSolving the Schrödinger Equation for Hydrogen AtomQuantum NumbersElectron ConfigurationPeriodic TrendsCovalent BondingElectronegativity and Bond PolarityIonic BondingLewis StructuresVSEPR Theory and Molecular GeometryMolecular Geometry and Electron Pair GeometryMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsDalton's Law of Partial PressuresHenry's Law and Gas Solubility

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