Gas Exchange and Diffusion

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gas exchange partial pressure Fick's law hemoglobin oxygen dissociation curve

Core Idea

Gas exchange at the alveolar-capillary membrane and at peripheral tissues is governed by Fick's law: diffusion rate is proportional to surface area and partial pressure gradient, and inversely proportional to membrane thickness. Atmospheric O2 (PO2 ~160 mmHg) equilibrates with alveolar air (~104 mmHg) and then diffuses into pulmonary capillary blood (~40 mmHg) until equilibration. Hemoglobin's sigmoidal oxygen-dissociation curve enables cooperative O2 loading in high-PO2 lung capillaries and efficient unloading in low-PO2 tissues. The Bohr effect — increased CO2, acidity, and temperature shift the curve rightward — enhances O2 delivery to metabolically active tissues. CO2 is transported primarily as bicarbonate ion in plasma (70%), with the remainder as dissolved CO2 and carbaminohemoglobin.

How It's Best Learned

Draw the oxygen dissociation curve and annotate the pulmonary capillary operating point (PO2 ~100 mmHg, near-saturation) and the tissue operating point (PO2 ~40 mmHg, significant unloading). Explain why a rightward shift (Bohr effect) is beneficial in exercising muscle: acidic, warm, high-CO2 environment promotes O2 release exactly where it is most needed.

Common Misconceptions

Explainer

Gas exchange is fundamentally a diffusion problem, and everything about the respiratory and circulatory systems is organized to make diffusion work as efficiently as possible. Fick's law tells you the key variables: diffusion rate increases with surface area and partial pressure gradient, and decreases with membrane thickness. The alveoli provide an enormous surface area (~70 m²), the alveolar-capillary membrane is only ~0.5 µm thick, and the partial pressure gradient between alveolar air (PO2 ~104 mmHg) and incoming venous blood (PO2 ~40 mmHg) is steep. These three factors together make O2 uptake fast enough to nearly fully equilibrate within the brief time a red blood cell spends traversing a pulmonary capillary.

Once O2 crosses into the blood, it faces a transport problem: only ~3 mL of O2 per liter of blood dissolves in plasma — far too little to supply tissues. Hemoglobin solves this by binding O2 cooperatively. The oxygen-dissociation curve is sigmoidal, not linear, because each O2 bound increases the affinity for the next. The flat top of the curve (around PO2 100 mmHg in the lungs) means that hemoglobin remains ~97-98% saturated even if alveolar PO2 drops somewhat. The steep middle portion (PO2 20–60 mmHg) covers the range found in tissues: small drops in PO2 trigger large O2 release. This shape is not accidental — it is precisely the range where delivery is most needed.

The Bohr effect fine-tunes this delivery. In actively metabolizing tissues, CO2 production lowers local pH and raises PCO2 and temperature. Each of these shifts the dissociation curve to the right — hemoglobin's O2 affinity falls, so even more O2 is released at a given PO2. In the lungs, the reverse occurs: CO2 is exhaled, pH rises, and hemoglobin's affinity increases, promoting O2 loading. The system is elegant because the same metabolic signals that create O2 demand also trigger enhanced delivery.

CO2 transport runs in parallel but is mechanistically different. When CO2 enters red blood cells from tissues, carbonic anhydrase converts it to carbonic acid (H2CO3), which dissociates to bicarbonate (HCO3-) and a proton. The bicarbonate exits into plasma in exchange for chloride (the chloride shift), and it is in this bicarbonate form that ~70% of CO2 is carried to the lungs. The proton released in this reaction is buffered largely by hemoglobin itself — and this proton binding is what causes the Bohr effect. The CO2 and O2 transport systems are therefore biochemically coupled: unloading O2 in tissues simultaneously facilitates CO2 loading, and vice versa in the lungs.

Practice Questions 3 questions

Prerequisite Chain

Counting to 10Counting to 20Understanding ZeroThe Number ZeroCounting to FiveOne-to-One CorrespondenceCombining Small Groups Within 5Addition Within 10Addition Within 20Two-Digit Addition Without RegroupingTwo-Digit Addition with RegroupingAddition Within 100Repeated Addition as MultiplicationMultiplication 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 100Two-Digit by One-Digit DivisionDivision with RemaindersRemainders and Quotients in DivisionDivision Word ProblemsIntroduction to Long DivisionFactors and MultiplesPrime and Composite NumbersEquivalent FractionsRelating Fractions and DecimalsDecimal Place ValueReading and Writing DecimalsComparing and Ordering DecimalsAdding and Subtracting DecimalsMultiplying DecimalsDividing DecimalsDividing FractionsMixed Number ArithmeticOrder of OperationsInteger Order of OperationsVariable ExpressionsCombining Like TermsOne-Step EquationsTwo-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 IntroductionTrigonometric Ratios ReviewRadian MeasureConverting Between Degrees and RadiansThe Unit CircleGraphing Sine and CosineGraphing Tangent and Reciprocal Trigonometric FunctionsDerivatives of Trigonometric FunctionsAntiderivativesIterated Integrals and Fubini's TheoremDouble Integrals in Cartesian CoordinatesDouble Integrals over Rectangular RegionsDouble Integrals in Polar CoordinatesDouble 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 FieldsGreen's TheoremSurface Integrals and Flux of Vector FieldsSurface Integrals and Flux of Vector FieldsDivergence Theorem: Flux and OutflowDivergence TheoremElectric FluxGauss'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 WavesThe Electromagnetic SpectrumBlackbody Radiation and Planck's LawPhotoelectric EffectThe Photon: Light as QuantaCompton ScatteringWave-Particle Dualityde Broglie WavelengthHeisenberg Uncertainty PrincipleWavefunction and the Born RuleThe Schrödinger EquationState Vectors and WavefunctionsQuantum SuperpositionQuantum EntanglementBell Theorem and Bell InequalitiesPostulates of Quantum MechanicsScattering TheoryIntroduction to Scattering TheoryPartial Wave Analysis in ScatteringSpin Angular MomentumElectron Spin and Intrinsic Magnetic MomentStern-Gerlach Experiment: Spin Quantization and MeasurementElectron Diffraction and Matter Wave PropertiesDavisson-Germer Experiment: Crystal Diffraction of ElectronsElectron Diffraction and Matter Wave InterferenceWavefunctions and Probability Density InterpretationQuantum Superposition and Linear Combinations of StatesQuantum Operators and ObservablesCanonical Commutation Relations and UncertaintyHeisenberg Uncertainty Principle and Measurement LimitsTime-Independent Schrödinger Equation and EigenvaluesHydrogen Atom in Quantum MechanicsSpectral Lines and Energy TransitionsSelection Rules for Atomic TransitionsLS and jj Coupling Schemes in Multi-Electron AtomsPauli Exclusion Principle and Antisymmetric WavefunctionsElectron Configuration and the Aufbau PrincipleThe Periodic Table and Atomic Electronic StructureThe Periodic TableElectron ConfigurationPeriodic TrendsIonization EnergyIonic BondingLewis StructuresResonance Structures and Delocalized ElectronsResonance and Formal ChargeMolecular Polarity and Dipole MomentsIntermolecular ForcesStates of Matter and Phase Changes: Melting, Boiling, and SublimationGas Laws and the Ideal Gas EquationGas Stoichiometry and Volume-Volume CalculationsThermochemistry and EnthalpyHeat Capacity and CalorimetryEntropy and Molecular DisorderSpontaneity and ΔGEntropy and Gibbs Free EnergyChemical EquilibriumStatistical Mechanics: Ensembles and the Boltzmann DistributionIntermolecular Potential Energy ModelsTransport Properties of GasesDiffusion and Fick's LawsGas Exchange and Diffusion

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