B3.1 Gas exchange

SL & HL+ AHL sectionsSL and HL, with AHL content · Organisms · Theme B

Big questions

  • Why do bigger organisms need special organs for gas exchange?
  • How do a leaf and a lung solve the same problem in different ways?

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Why organisms need gas-exchange surfaces

SL & HLSyllabus understandings: B3.1.1 · B3.1.2

Every organism exchanges gases with its environment. Aerobic cells take in oxygen for cell respiration and release carbon dioxide; photosynthesising cells take in CO₂ and release O₂ (see C1.2 Cell respiration). This gas exchange happens by diffusion, which is passive but slow over anything more than a fraction of a millimetre.

The problem of size

A unicellular organism such as Amoeba can exchange gases across its whole cell surface. As organisms get bigger this stops working, for two reasons:

  • The surface area-to-volume ratio (SA:V) falls (see B2.3 Cell specialization). Volume, and so the demand for O₂, rises with the cube of length, but surface area rises only with the square.
  • The distance from the centre to the outside increases, so diffusion alone would take far too long to supply the inner cells.
Side of cube Surface area Volume SA:V
1 mm 6 mm² 1 mm³ 6 : 1
2 mm 24 mm² 8 mm³ 3 : 1
4 mm 96 mm² 64 mm³ 1.5 : 1

Large organisms therefore have a specialized gas-exchange surface with a much larger area than their outer surface, such as the alveoli of mammalian lungs, the gills of fish or the spongy mesophyll of a leaf, often combined with a transport system.

Properties of gas-exchange surfaces

Rate of diffusion depends on area, concentration gradient and distance, so efficient exchange surfaces share four properties:

  1. Permeable: O₂ and CO₂ pass through freely. They are small and non-polar, so they diffuse through cell membranes.
  2. Thin: often only one layer of flattened cells, giving a short diffusion distance.
  3. Moist: gases dissolve in a film of water before they diffuse through the cells. On land this moisture is also a source of water loss.
  4. Large surface area relative to the volume of the organism.

Keeping concentration gradients steep

SL & HLSyllabus understandings: B3.1.3

Diffusion produces a net movement only while there is a concentration gradient. Left alone, gases would diffuse until the concentrations on both sides of the surface were equal, and exchange would stop. Small organisms keep their gradients simply by respiring: O₂ is used up inside and CO₂ is produced. Large animals with lungs or gills need more:

  • Dense networks of blood vessels: capillaries cover the exchange surface, so blood is close to every part of it.
  • Continuous blood flow: blood that has picked up O₂ and lost CO₂ is carried away at once and replaced by blood arriving from the body, which is low in O₂ and high in CO₂.
  • Ventilation: the air or water next to the surface is renewed, keeping its O₂ concentration high and its CO₂ concentration low.

Ventilation with air and with water

  • Lungs of mammals are ventilated with air by breathing (next sections). The flow is tidal: air moves in and out through the same airways.
  • Gills of bony fish are ventilated with water. Water is pumped in through the mouth, over the gill filaments and out through the gill openings, so the flow is one-way. Blood flows through the gill lamellae in the opposite direction to the water (a countercurrent), so the blood always meets water with a higher O₂ concentration and a gradient is kept along the whole length of the lamella. This matters because water holds far less dissolved O₂ than the same volume of air.

Adaptations of the mammalian lung

SL & HLSyllabus understandings: B3.1.4

Alveoli and airways in 3D
An alveolus and its capillaryAn alveolus is a thin-walled air sac opening from an alveolar duct. Its wall is made of thin type I pneumocytes, with a type II pneumocyte that secretes surfactant into the film of moisture lining it. A capillary is pressed against the outside of the wall, carrying red blood cells from the pulmonary artery to the pulmonary vein. Oxygen diffuses from the air into the blood and carbon dioxide from the blood into the air. A magnified view shows the air–blood barrier: moisture film, type I pneumocyte and capillary endothelium, about half a micrometre thick in total.O₂CO₂alveolar airblood plasmaO₂CO₂magnified (not to scale)12345678910
  1. Alveolar duct: air arrives from a bronchiole
  2. Air in the alveolus: high O₂, low CO₂ (kept so by ventilation)
  3. Wall of type I pneumocytes: one layer of extremely thin cells
  4. Type II pneumocyte: secretes surfactant
  5. Film of moisture containing surfactant lines the alveolus
  6. Capillary wall: endothelium, one thin cell thick
  7. Red blood cell: haemoglobin binds the O₂
  8. Blood from the pulmonary artery: low O₂, high CO₂
  9. Blood to the pulmonary vein: high O₂, low CO₂
  10. Diffusion distance ≈ 0.5 µm (two thin cells)
Text description of this visual

The first model shows a cluster of alveoli at the end of a terminal bronchiole, each covered by a dense network of capillaries. The front alveolus is cut in half so you can look inside it. Its wall is made of extremely thin type I pneumocytes; two rounded type II pneumocytes bulge into the air space and contain granules of surfactant, which spreads over the film of moisture lining the alveolus. Capillaries, whose walls are a single layer of endothelium, are pressed against the outside of the wall, with red blood cells passing through in single file. Blood arrives from a branch of the pulmonary artery and leaves towards the pulmonary vein. Four steps show ventilation renewing the alveolar air, oxygen diffusing into the blood, carbon dioxide diffusing out, and blood flow keeping both gradients steep. The second model shows the thorax from the front, with the front of the rib cage removed: the trachea with C-shaped cartilage rings, two bronchi, branching bronchioles ending in alveoli, the two lungs, ribs with intercostal muscles between them, and the dome-shaped diaphragm below.

Alveoli and capillaries

Bronchiole and alveolar duct
The narrowest airways. A terminal bronchiole leads into an alveolar duct, which opens into a cluster of alveoli. Bronchioles have no cartilage rings.
Alveolus
A tiny air sac about 0.2–0.3 mm across. An adult's lungs have several hundred million of them, giving a total gas-exchange surface of roughly 50–100 m².
Air in the alveolus
Ventilation keeps this air high in oxygen and low in carbon dioxide compared with the blood arriving in the capillaries, so both gases diffuse down steep gradients.
Capillary network
A dense, basket-like network of capillaries covers every alveolus, so almost the whole alveolar surface is in contact with blood.
From the pulmonary artery
A branch of the pulmonary artery brings deoxygenated blood (low O₂, high CO₂) from the right side of the heart to the capillaries. Blue here shows deoxygenated blood.
To the pulmonary vein
Oxygenated blood (high O₂, low CO₂) leaves the capillaries and returns to the left side of the heart through the pulmonary vein.
Type I pneumocytes
Extremely thin, flattened cells that make up most of the alveolar wall. Their thinness keeps the diffusion distance between air and blood very short.
Type II pneumocyte
A rounded cell in the alveolar wall that secretes surfactant (stored in granules) into the moisture lining the alveolus. Type II cells can also divide to replace damaged type I cells.
Moisture film with surfactant
Gases dissolve in this film before diffusing. Surfactant reduces its surface tension, so the moist alveolar walls do not stick together and the alveoli do not collapse when air is breathed out.
Capillary endothelium
The capillary wall is a single layer of thin endothelial cells, pressed against the alveolar wall. Here it is cut across at the edge of the opened alveolus.
Red blood cells
Red blood cells pass through the capillaries in single file, close to the wall. Haemoglobin inside them binds the oxygen that diffuses in. Blue cells have not yet picked up oxygen; red ones have.
Short diffusion distance
Air and blood are separated only by a type I pneumocyte and the capillary endothelium, about 0.5 µm in total. (The model draws the wall far thicker than it is.)
  1. Ventilation renews the air. Breathing out removes stale air with a raised CO₂ concentration (dark molecules) through the bronchiole; breathing in brings fresh air with a high O₂ concentration (pale molecules) into the alveoli. This keeps the O₂ concentration in the alveolus higher, and the CO₂ concentration lower, than in the blood.
  2. Oxygen diffuses into the blood. O₂ dissolves in the moisture film, then diffuses through the type I pneumocyte and the capillary endothelium into the blood, where it binds to haemoglobin in red blood cells. Molecules move both ways at random, but more move into the blood than out — a net movement down the concentration gradient.
  3. Carbon dioxide diffuses out. Blood arriving from respiring tissues has a higher CO₂ concentration than the alveolar air, so CO₂ diffuses the other way, from the plasma and red blood cells across the same thin barrier into the air in the alveolus, to be breathed out.
  4. Blood flow keeps the gradients steep. Blood flows continuously through the capillaries. Each red blood cell picks up oxygen within the first part of the capillary (blue to red) and is carried away to the pulmonary vein, while deoxygenated blood keeps arriving. Together with ventilation, this stops the concentrations on the two sides becoming equal, so diffusion continues.

Airways and thorax

Trachea
The windpipe, carrying air between the larynx and the bronchi. It is lined with ciliated epithelium and mucus-secreting cells that trap and remove dust and pathogens.
C-shaped cartilage rings
Rings of cartilage hold the trachea open while the pressure inside it changes during breathing. They are open at the back, where the trachea lies against the oesophagus.
Bronchi
The trachea divides into two bronchi, one to each lung. The right bronchus is shorter, wider and more vertical than the left. Bronchi are also supported by cartilage.
Bronchioles
The bronchi branch again and again into narrower bronchioles, a branched network that carries air to every part of the lung. Bronchioles have smooth muscle but no cartilage.
Alveoli
The bronchioles end in clusters of alveoli, where gas exchange happens (see the other model). They are drawn far larger than they really are.
Lungs
Two spongy organs inside the thorax, made mostly of alveoli, airways and blood vessels. The lungs follow the movements of the chest wall and diaphragm, so their volume changes as the thorax changes size.
Ribs
The ribs form a protective cage around the thorax. Moving them up and out increases the volume of the thorax; moving them down and in decreases it.
Intercostal muscles
Two antagonistic layers of muscle between the ribs. The external intercostals contract to move the ribs up and out (inspiration); the internal intercostals contract to pull them down and in (forced expiration).
Diaphragm
A dome-shaped sheet of muscle separating the thorax from the abdomen. When it contracts it flattens and moves down, increasing the volume of the thorax.

Air reaches the lungs through the trachea, which divides into two bronchi. Each bronchus branches again and again into narrower bronchioles, which end in alveolar ducts opening into clusters of alveoli. The mammalian alveolar lung is adapted for gas exchange in four main ways:

  • Branched network of bronchioles: the repeated branching carries air to every part of each lung, so ventilation reaches hundreds of millions of alveoli.
  • Very large surface area: an adult’s lungs contain roughly 300–500 million alveoli, each only about 0.2–0.3 mm across, with a total surface area of around 50–100 m², dozens of times the area of the skin.
  • Extensive capillary beds: each alveolus is covered by a dense network of capillaries, so the area of blood in contact with the alveoli is almost as large as the alveolar surface itself.
  • Surfactant: type II pneumocytes secrete surfactant (phospholipids and proteins) into the film of moisture lining the alveoli. It lowers the surface tension of the water, so the moist walls do not stick together and the alveoli do not collapse when air is breathed out.

A very short diffusion distance

The alveolar wall is mostly made of type I pneumocytes: extremely thin, flattened cells covering about 95 % of the alveolar surface. The capillary wall is a single layer of thin endothelium. Oxygen diffusing into the blood crosses only these two thin cells (sharing a basement membrane), a total of about 0.5 µm. Red blood cells squeeze through the capillaries in single file, close to the wall. (Type I and type II pneumocytes as two cell types in one tissue are also part of B2.3 Cell specialization.)

Feature How it speeds up gas exchange
Many alveoli Very large total surface area
Type I pneumocytes and endothelium, each one thin cell Short diffusion distance (≈ 0.5 µm)
Moisture film Gases dissolve before diffusing
Surfactant from type II pneumocytes Alveoli stay open, so their area stays available
Dense capillary network and blood flow Steep concentration gradients maintained

Ventilation of the lungs

SL & HLSyllabus understandings: B3.1.5

Air can only enter or leave the thorax through the airways. Gases flow from higher to lower pressure, so to move air the body changes the volume of the thorax: increasing a volume lowers the pressure inside it, and decreasing it raises the pressure. The lungs follow the movements of the chest wall and diaphragm. Two pairs of antagonistic muscles do this work: the external and internal intercostal muscles between the ribs, and the diaphragm and the abdominal muscles in the front wall of the abdomen.

Inspiration and expiration
airtrachealungribs andintercostalmusclesdiaphragmabdominal musclesExternal intercostals: contractingDiaphragm: contracting: flattensInternal intercostals: relaxedAbdominal muscles: relaxedstep 1step 2step 31234lung volume (dm³)pressure in lungsabove atmosphericbelow atmospherictime (16 s shown) →
Text description of this animation

A front view of the thorax beside two graphs that are drawn as the animation runs: the volume of air in the lungs, and the pressure in the lungs compared with atmospheric pressure. A list shows which muscles are contracting. During inspiration the external intercostal muscles and the diaphragm contract, the rib cage moves up and out and the diaphragm flattens, the volume of the thorax increases and the pressure falls below atmospheric, so air flows in. In quiet expiration the muscles relax and the lungs recoil, so the thorax gets smaller, the pressure rises above atmospheric and air flows out. In forced expiration the internal intercostals and abdominal muscles contract, pushing more air out and taking the volume below the resting level.

  1. Inspiration. The external intercostal muscles contract, moving the ribs up and out, and the diaphragm contracts, flattening and moving down. The volume of the thorax increases, so the pressure inside the lungs falls below atmospheric pressure. Air flows in until the pressure inside is equal to atmospheric pressure again.
  2. Expiration at rest (passive). The external intercostals and the diaphragm relax. The stretched lungs recoil elastically, the ribs fall down and in, and the abdominal organs push the relaxed diaphragm back up into a dome. The volume of the thorax decreases, the pressure rises above atmospheric and air flows out. No muscle contraction is needed.
  3. Forced breathing. During exercise, a deeper breath in is followed by forced expiration. The internal intercostal muscles contract, pulling the ribs down and in, and the abdominal muscles contract, pushing the abdominal organs and the diaphragm further up. The thorax becomes smaller than at rest, the pressure rises further above atmospheric, and extra air (part of the expiratory reserve) is pushed out.
Inspiration (breathing in) Expiration (breathing out)
Intercostal muscles External intercostals contract Quiet: external intercostals relax. Forced: internal intercostals contract
Ribs Move up and out Move down and in
Diaphragm Contracts, flattens and moves down Relaxes and is pushed up into a dome (by the abdominal muscles in forced expiration)
Abdominal muscles Relax, so the abdominal organs can move down Quiet: relaxed. Forced: contract, pushing the organs and diaphragm up
Volume of thorax Increases Decreases
Pressure in lungs Falls below atmospheric Rises above atmospheric
Air flow In, until the pressure equals atmospheric Out, until the pressure equals atmospheric

At rest, expiration is passive. When the external intercostals and diaphragm relax, the lungs, which were stretched during inspiration, recoil elastically, and the volume of the thorax decreases without any muscle contracting. During exercise, forced expiration uses the internal intercostals and abdominal muscles to push out more air, quickly. How the brainstem adjusts the ventilation rate when blood CO₂ rises is part of C3.1 Integration of body systems.

Measuring lung volumes

SL & HLSyllabus understandings: B3.1.6

A spirometer measures the volume of air breathed in and out. A simple one is a graduated container of air over water, connected to a mouthpiece by a tube; electronic spirometers measure the flow of air and use software to calculate volumes. A nose clip makes sure all the air passes through the mouthpiece. Each measurement is repeated (at least three times) to check that the readings are consistent.

From a spirometer trace you can find:

  • Tidal volume (TV): the volume breathed in or out in one normal breath. Measure from the bottom to the top of a normal breath (about 0.5 dm³ at rest).
  • Inspiratory reserve volume (IRV): the extra volume that can be breathed in by forcing inhalation after a normal breath in (about 3 dm³).
  • Expiratory reserve volume (ERV): the extra volume that can be breathed out by forcing exhalation after a normal breath out (about 1 dm³).
  • Vital capacity (VC): the largest volume that can be breathed out after the deepest possible breath in: VC = IRV + TV + ERV (about 4–5 dm³ in a young adult; it varies with sex, height, age and fitness).
  • Ventilation rate: breaths per minute, counted from the peaks in a known time (about 12–16 at rest).

Some air, the residual volume (about 1.2 dm³), always stays in the lungs and airways, so a spirometer cannot measure it. Multiplying ventilation rate by tidal volume gives the volume of air breathed per minute.

Simulation Lung volumes from a spirometer trace
Mode:
Spirometer trace: volume of air in the lungs against timeTidal breaths go up and down between two levels. Then there is one maximal breath in, up to total lung capacity, and one maximal breath out, down to the residual volume, before tidal breathing starts again.051015202530354001234567Time (s) →Volume of air in the lungs (dm³) →Residual volume ≈ 1.2 dm³: always left in the lungs, so a spirometer cannot measure itTVIRVERVVC20.0 s: 4.21 dm³
Tidal volume (TV)
0.5 dm³
Inspiratory reserve volume (IRV)
3.0 dm³
Expiratory reserve volume (ERV)
1.1 dm³
Vital capacity (VC = IRV + TV + ERV)
4.6 dm³
Residual volume (RV)
1.2 dm³
Ventilation rate
12 breaths per minute
Minute ventilation (rate × TV)
6.0 dm³ per minute

At rest: tidal volume 0.5 dm³ at 12 breaths per minute, so 6.0 dm³ of air is breathed in per minute. Vital capacity is 4.6 dm³.

Model trace with typical values for a healthy young adult; real values depend on sex, height, age and fitness. A spirometer measures air breathed in and out, so the residual volume is shown only to complete the picture. 1 dm³ = 1 litre.

Text description of this simulation

A graph of the volume of air in the lungs against time. Several tidal breaths go up and down by about 0.5 dm³. Then the person breathes in as deeply as possible and out as fully as possible, before breathing normally again. Brackets mark the tidal volume, inspiratory reserve volume, expiratory reserve volume and vital capacity; the residual volume that always stays in the lungs is shaded. An exercise slider increases the tidal volume and the ventilation rate: the extra tidal volume comes from the two reserve volumes, so the vital capacity does not change. A cursor slider reads the volume at any time. In practice mode a new trace is drawn without labels and you read a volume or rate from it.

During exercise, both tidal volume and ventilation rate increase. The extra tidal volume uses part of the inspiratory and expiratory reserves, so the IRV and ERV get smaller while vital capacity stays the same.

Gas exchange in leaves

SL & HLSyllabus understandings: B3.1.7 · B3.1.8

Leaves exchange gases for photosynthesis: chloroplasts in the mesophyll need a supply of CO₂, and the O₂ they produce must be removed (at night, when respiration continues without photosynthesis, the direction is reversed). Like an alveolus, the leaf needs a large, moist surface for exchange, but on land a moist surface loses water. The dicotyledonous leaf balances these needs.

Transverse section of a dicotyledonous leaf, showing cellsFrom top to bottom: waxy cuticle, a single layer of upper epidermis, tall palisade mesophyll cells packed with chloroplasts, spongy mesophyll cells with large air spaces between them, and the lower epidermis with a stoma between two guard cells. A vein in the spongy mesophyll has xylem towards the upper side and phloem towards the lower side. Arrows show carbon dioxide entering through the stoma and oxygen and water vapour leaving.CO₂ inO₂ and water vapour out12345678910
  1. Waxy cuticle: reduces water loss; almost impermeable to gases
  2. Upper epidermis: transparent cells that secrete the cuticle
  3. Palisade mesophyll: tightly packed cells, main site of photosynthesis
  4. Spongy mesophyll: loose cells with a large, moist surface for gas exchange
  5. Air spaces: connect with the stomata; gases diffuse through them
  6. Xylem (upper side of the vein): supplies water to replace losses
  7. Phloem (lower side of the vein): carries sugars away
  8. Lower epidermis: has most of the stomata
  9. Guard cells: change shape to open or close the stoma
  10. Stoma: pore for CO₂ in, O₂ and water vapour out
Transverse section through part of a dicotyledonous leaf, showing cells. Carbon dioxide diffuses in through a stoma and the air spaces to the mesophyll cells; oxygen and water vapour diffuse out the same way.

Adaptations for gas exchange

  • Waxy cuticle: a waterproof layer of wax secreted by the epidermis on both surfaces. It reduces water loss, but it is also almost impermeable to gases, so gas exchange happens mainly through the stomata.
  • Epidermis: a single layer of tightly fitting cells that protects the leaf, secretes the cuticle and contains the guard cells. Upper epidermis cells are transparent, so light reaches the palisade mesophyll.
  • Stomata and guard cells: each stoma is a pore between a pair of guard cells, which change shape to open or close it. Stomata are open when gas exchange is needed for photosynthesis, and close at night and when the plant is short of water. In many dicots most stomata are in the lower epidermis.
  • Air spaces: the stomata open into a network of air spaces that runs between the mesophyll cells, so CO₂ and O₂ can diffuse quickly through the inside of the leaf.
  • Spongy mesophyll: loosely packed, rounded cells with large air spaces between them. Their moist cell walls provide a very large surface area where CO₂ dissolves and diffuses into the cells. Photosynthesis using CO₂ keeps its concentration in the cells low, maintaining the gradient.
  • Veins: water evaporates from the moist mesophyll cell walls and is lost, so xylem in the veins brings water to replace it; phloem carries away the sugars made in photosynthesis (see B3.2 Transport).

Most photosynthesis happens in the palisade mesophyll, tall closely packed cells with many chloroplasts just below the upper epidermis.

A plan diagram of the tissues

A plan diagram shows where the tissues are, as outlined areas, without drawing individual cells.

Plan diagram of a transverse section of a dicotyledonous leafA plan diagram with ruled label lines. From the top: waxy cuticle, upper epidermis, a thick layer of palisade mesophyll, spongy mesophyll and lower epidermis. A vein lies at the boundary of the palisade and spongy mesophyll, with xylem in its upper half and phloem in its lower half. Only the boundaries between tissues are drawn, not individual cells.waxy cuticleupper epidermispalisade mesophyllxylemphloemspongy mesophylllower epidermis
Plan diagram of a transverse section of a dicotyledonous leaf. Lines mark the boundaries between tissues; no cells are drawn. In the vein, xylem is towards the upper surface and phloem towards the lower surface.

Transpiration: a consequence of gas exchange

SL & HLSyllabus understandings: B3.1.9

Transpiration is the loss of water vapour from the leaves and stems of a plant. It is a side effect of gas exchange, not a process the plant carries out for its own sake:

  1. Water evaporates from the moist walls of the mesophyll cells into the air spaces, which are usually saturated, or nearly saturated, with water vapour.
  2. When the stomata are open for CO₂ to enter, water vapour diffuses out through them, down a concentration gradient to the drier air outside.
  3. More water then evaporates from the cell walls, and is replaced by water from the xylem.

A leaf cannot take in CO₂ without opening its stomata, and it cannot have moist exchange surfaces without evaporation. Closing the stomata saves water but also stops CO₂ entering, so photosynthesis slows.

Factors affecting the rate of transpiration

Factor Effect on rate Reason
Temperature ↑ Increases More energy for evaporation; faster diffusion of water vapour
Humidity ↑ Decreases Smaller concentration gradient of water vapour between the air spaces and the air outside
Wind speed ↑ Increases Moving air removes the layer of humid air near the stomata (very strong wind can make stomata close)
Light intensity ↑ Increases Stomata open in the light to supply CO₂ for photosynthesis
Shortage of soil water Decreases Guard cells close the stomata to prevent dehydration

The rate of water uptake by a leafy shoot, which is close to the rate of transpiration, can be measured with a potometer.

Measuring stomatal density

SL & HLSyllabus understandings: B3.1.10

Stomatal density is the number of stomata per unit area of leaf surface, usually in stomata per mm² (mm⁻²). To see the stomata, use one of these methods:

  • Epidermal peel: peel a thin strip of lower epidermis from the leaf and mount it in water.
  • Leaf cast: paint a small area of the leaf with clear nail varnish, let it dry, lift it off with clear tape and mount it; the varnish holds an impression of the epidermis.
  • Micrograph: photograph the surface through a microscope and count from the image.

Calculating the density

  1. Measure the diameter of the field of view at high power with a stage micrometer (for example 0.40 mm).
  2. Calculate the area of the field: area = π r² = π × (0.40 ÷ 2)² = 0.126 mm².
  3. Count the stomata in the field. Count those that are more than half inside the circle, and leave out the rest.
  4. Repeat in several randomly chosen fields of view, away from veins and the leaf edge, and calculate the mean.
  5. Stomatal density = mean number of stomata ÷ area of field. For a mean of 19 stomata: 19 ÷ 0.126 = 151 stomata per mm².
Simulation Measuring stomatal density
Field of view of leaf epidermis at high powerA circular field of view showing wavy-walled epidermal cells and scattered stomata, each a pair of guard cells around a pore. Tap stomata to tick them off as you count.50 µmfield diameter0.40 mm

Tap each stoma to tick it off as you count (ticked: 0). Count stomata that are more than half inside the circle.

Leaf surface

Changing the surface or the field size starts a new set of counts.

Stomatal density estimated from each field, with the running mean0150300Field of view number →Stomata per mm²leaf average (unknown in a real investigation)Record some fields to see how the estimate changes

Green dots: the density from each single field. Orange line: the mean of all fields so far.

Counts recorded: none yet.

  1. Radius of field = 0.40 ÷ 2 = 0.200 mm
  2. Area of field = π × 0.200² = 0.1257 mm²
  3. Mean count: record at least one field

Count the stomata in this field, then record the count. Repeat for several randomly chosen fields of view.

Simulated leaf: stomata are scattered at random around an illustrative average of 150 per mm² on the lower epidermis and 40 per mm² on the upper epidermis, and each patch of leaf differs a little. Real values vary between species and with growing conditions.

Text description of this simulation

A circular field of view of a leaf epidermis at high power, showing wavy-walled epidermal cells and scattered stomata. You can tick stomata off as you count them and record the count for each field of view. A slider sets the diameter of the field, from which the area is calculated as π multiplied by the radius squared. After each count the working shows the mean number of stomata and the stomatal density (mean count divided by field area, in stomata per mm²). A chart plots the estimate from each single field and the running mean, showing that single counts vary but the mean becomes more reliable as more fields are counted. You can compare the lower and upper epidermis.

Reliability (nature of science)

Biological material is variable: the number of stomata differs from one field of view to the next, between leaves and between plants. A single count can give a misleading result, so repeated counts are needed. The mean of several counts is a more reliable estimate, and the spread of the counts (the range or standard deviation) shows how variable the leaf is. Repeating the whole procedure on other leaves (replicate trials) shows whether the result is typical of the plant.

Foetal and adult haemoglobin

AHLSyllabus understandings: B3.1.11

Oxygen is carried in the blood bound to haemoglobin in red blood cells. Haemoglobin is a protein with quaternary structure (see B1.2 Proteins): four polypeptide chains, each with a haem group containing an iron ion (Fe²⁺). Each haem binds one O₂ molecule reversibly, so one haemoglobin molecule can carry up to four O₂.

Cooperative binding

Binding of O₂ by the four haem groups is cooperative:

  • Binding of the first O₂ is relatively difficult. When it binds, it causes a conformational change in the whole molecule that increases the affinity of the remaining haem groups for O₂, so the second, third and fourth O₂ bind more easily.
  • In the same way, when one O₂ is released the affinity of the others falls, so they are released more readily.

This is why haemoglobin is mostly either fully loaded or nearly empty, and why its dissociation curve is S-shaped (next section).

Allosteric binding of carbon dioxide

CO₂ can bind to haemoglobin, but not at the haem groups. It binds to the globin polypeptides at other sites, which is allosteric binding, forming carbaminohaemoglobin. This changes the shape of the protein and reduces its affinity for O₂. In respiring tissues, where the CO₂ concentration is high, CO₂ binding therefore promotes release of O₂. In the lungs, CO₂ leaves the haemoglobin and its affinity for O₂ rises again.

Foetal haemoglobin

Before birth, a foetus gets its oxygen from its mother’s blood in the placenta; the two bloods do not mix. Foetal haemoglobin (two α and two γ chains) differs from adult haemoglobin (two α and two β chains), and it has a higher affinity for oxygen. At the partial pressures of oxygen in the placenta, foetal haemoglobin is more saturated than the mother’s haemoglobin, so O₂ dissociates from maternal haemoglobin, diffuses across the placenta and binds to foetal haemoglobin. After birth, foetal haemoglobin is gradually replaced by adult haemoglobin over the first months of life.

Dissociation curves and the Bohr shift

AHLSyllabus understandings: B3.1.12 · B3.1.13

An oxygen dissociation curve shows the percentage saturation of haemoglobin with oxygen (y-axis) at different partial pressures of oxygen, pO₂, measured in kilopascals (kPa) (x-axis). It shows the affinity of haemoglobin for oxygen: a curve further to the left means a higher affinity.

Simulation Oxygen dissociation curves and the Bohr shiftAHL
Oxygen dissociation curvesPercentage saturation of haemoglobin against partial pressure of oxygen. The adult curve is S-shaped. A dashed curve for the tissue's carbon dioxide level lies to the right of it when carbon dioxide is higher. Markers show the saturation in the lungs and in the respiring tissue.50 % saturation (P50)02468101214020406080100Partial pressure of oxygen, pO₂ (kPa) →Saturation of haemoglobin (%) →respiring tissuesO₂ releasedlungstissue
Curves

Adult haemoglobin, pCO₂ 5.3 kPa (lungs)

Adult haemoglobin at the tissue pCO₂

In the lungs (pO₂ 13.3 kPa) haemoglobin is 97 % saturated. In the tissue (pO₂ 4.0 kPa, pCO₂ 7.0 kPa) it is 50 % saturated, so 47 percentage points of saturation are released. P50 at this pCO₂ = 4.0 kPa (normal 3.5 kPa).

Show data table
pO₂ (kPa)Adult, pCO₂ 5.3 (%)Adult, pCO₂ 7.0 (%)Foetal (%)Myoglobin (%)
00000
132873
218133584
340326289
459507892
572658793
681759194
787829495
890879696
993909796
1094929896
1196949897
1297959997
1397969997
1498979997

Simplified model: Hill equation with n = 2.7 for haemoglobin (n = 1 for myoglobin), P50 = 3.5 kPa for adult and 2.5 kPa for foetal haemoglobin at pH 7.4 and 37 °C. Carbon dioxide's effect (through pH and carbaminohaemoglobin) is modelled as one Bohr shift. 1 kPa ≈ 7.5 mmHg.

Text description of this simulation

A graph of percentage saturation of haemoglobin against the partial pressure of oxygen in kilopascals. The adult haemoglobin curve is S-shaped (sigmoid): it is shallow at low partial pressures, steep between about 2 and 6 kPa, and levels off near 100 % above about 10 kPa. Points mark the saturation in the lungs (about 97 % at 13.3 kPa) and in a respiring tissue. Sliders set the partial pressures of oxygen and carbon dioxide in the tissue. Raising the carbon dioxide lowers the pH and moves the curve to the right (the Bohr shift), so more oxygen is released at the same partial pressure of oxygen. Optional curves show foetal haemoglobin, to the left of the adult curve because it has a higher affinity for oxygen, and myoglobin, a hyperbola far to the left.

Why the curve is S-shaped

The adult haemoglobin curve is sigmoid because of cooperative binding:

  • At low pO₂ the curve is shallow: binding the first O₂ to each molecule is difficult.
  • In the middle (about 2–6 kPa) it is very steep: once one O₂ has bound, the affinity of the other haem groups rises, so saturation increases sharply with only a small rise in pO₂.
  • At high pO₂ it levels off as almost all haem groups are occupied.

The steep part matches the pO₂ of respiring tissues. In the lungs, where alveolar pO₂ is about 13 kPa, haemoglobin is about 97–98 % saturated. In resting tissues (about 5 kPa) it falls to about 75 %, and in actively respiring muscle (2–3 kPa) to well under 50 %. A small fall in pO₂ therefore releases a large amount of oxygen exactly where it is needed. The pO₂ at which haemoglobin is 50 % saturated (P50) is about 3.5 kPa for adult haemoglobin.

The Bohr shift

In actively respiring tissues the CO₂ concentration is higher. This reduces the affinity of haemoglobin for oxygen, in two ways:

  1. CO₂ reacts with water in red blood cells (catalysed by carbonic anhydrase) to form carbonic acid, which dissociates into H⁺ and HCO₃⁻. The lower pH changes the shape of haemoglobin and reduces its affinity for O₂.
  2. CO₂ binds allosterically to the globin chains, forming carbaminohaemoglobin, which has a lower affinity for O₂.

The curve moves to the right: this is the Bohr shift. At the same pO₂, haemoglobin is less saturated, so more O₂ is released. The more actively a tissue respires, the more CO₂ it produces and the more O₂ it receives. In the lungs the CO₂ concentration is low, so the curve moves back to the left and haemoglobin loads fully; because the curve is flat at high pO₂, loading is hardly affected.

Foetal haemoglobin and myoglobin

The foetal curve lies to the left of the adult curve, showing its higher affinity. Myoglobin, an oxygen-storing protein in muscle with only one haem group, cannot bind cooperatively, so its curve is a hyperbola far to the left. It releases its O₂ only when the pO₂ in muscle falls very low, during intense exercise.

Must-know definitions

Properties of a gas-exchange surface
Gas-exchange surfaces are permeable to O2 and CO2, thin (a short diffusion distance), moist (gases dissolve before they diffuse) and have a large surface area relative to the volume of the organism.
Maintaining concentration gradients
Diffusion would stop if concentrations became equal. In animals, ventilation (air for lungs, water for gills), continuous blood flow and dense capillary networks keep O2 higher and CO2 lower on the outside of the exchange surface than in the blood.
Alveolus
A tiny air sac at the end of the bronchioles. Its wall is mostly extremely thin type I pneumocytes; type II pneumocytes secrete surfactant. A dense capillary network covers it, so air and blood are only about 0.5 µm apart.
Surfactant
A mixture of phospholipids and proteins secreted by type II pneumocytes into the film of moisture lining the alveoli. It lowers surface tension, so the alveolar walls do not stick together and the alveoli do not collapse during expiration.
Ventilation
Moving air into and out of the lungs. Muscle contractions change the volume of the thorax, which changes the pressure inside it; air then flows from higher to lower pressure. Inspiration is always active; expiration is passive at rest.
Tidal volume
The volume of air breathed in (or out) in one normal breath, about 0.5 dm3 at rest in an adult. It increases during exercise.
Vital capacity and reserve volumes
Vital capacity is the largest volume that can be breathed out after the deepest possible breath in: inspiratory reserve volume + tidal volume + expiratory reserve volume. The IRV and ERV are the extra volumes that can be forced in after a normal breath in, or out after a normal breath out.
Transpiration
The loss of water vapour from leaves and stems. Water evaporates from the moist walls of mesophyll cells into the air spaces and diffuses out through open stomata. It is an unavoidable consequence of the gas exchange needed for photosynthesis.
Stomatal density
The number of stomata per unit area of leaf surface (mm−2): the mean count in several fields of view divided by the area of the field, π r2.
Cooperative bindingAHL
When O2 binds to one haem group of haemoglobin, the protein changes shape (conformation) and the other haem groups bind O2 more easily; losing O2 has the opposite effect. This makes the oxygen dissociation curve S-shaped (sigmoid).
Bohr shiftAHL
A rise in CO2 concentration (which also lowers pH) reduces the affinity of haemoglobin for oxygen, moving the dissociation curve to the right, so more O2 is released in actively respiring tissues.

Common exam mistakes

  • Loses marks The lungs expand and suck air in, and this makes the chest move.

    Write instead Muscles move the ribs and diaphragm first. The thorax gets larger, the pressure in the lungs falls below atmospheric pressure, and air flows in down the pressure gradient. The lungs follow the chest wall.

  • Loses marks During inspiration the diaphragm relaxes and moves down.

    Write instead During inspiration the diaphragm contracts, which flattens it and moves it down. It relaxes and is pushed back up into a dome during expiration.

  • Loses marks Expiration always uses the internal intercostal and abdominal muscles.

    Write instead At rest, expiration is passive: the muscles of inspiration relax and the elastic recoil of the lungs reduces the volume of the thorax. The internal intercostals and abdominal muscles contract only in forced expiration, for example during exercise.

  • Loses marks Vital capacity is the total volume of air in the lungs.

    Write instead Vital capacity is the largest volume that can be breathed out after a maximal breath in. The residual volume (about 1.2 dm3) always stays in the lungs, so vital capacity is less than total lung capacity.

  • Loses marks Surfactant is the moisture in the alveoli that oxygen dissolves in.

    Write instead The moisture is a film of water; surfactant is a substance in that film which reduces surface tension, stopping the walls of the alveoli sticking together and the alveoli collapsing.

  • Loses marks Oxygen only has to cross one cell to get from the alveolus into the blood, because the alveolus wall is one cell thick.

    Write instead Oxygen crosses two thin layers of cells: a type I pneumocyte of the alveolus wall and the endothelium of the capillary wall (together about 0.5 µm), then the plasma and the membrane of a red blood cell.

  • Loses marks Plants transpire in order to lose water or to cool down.

    Write instead Transpiration is an unavoidable consequence of gas exchange: stomata must open to let CO2 in for photosynthesis, and water vapour then diffuses out from the moist surfaces inside the leaf.

  • Loses marks Field area = π × diameter², or stomatal density = count ÷ field diameter.

    Write instead Area of a circular field = π r2, where r is half the diameter. Density = mean count ÷ area, in stomata per mm2.

  • Loses marks In the Bohr shift, more CO2 moves the dissociation curve to the left.

    Write instead More CO2 (and lower pH) reduces the affinity of haemoglobin for O2, moving the curve to the right: saturation is lower at each pO2, so more O2 is released.

    AHL
  • Loses marks CO2 binds to the haem group in place of oxygen.

    Write instead CO2 binds allosterically, to the globin polypeptides at sites other than the haem, forming carbaminohaemoglobin. This lowers the affinity of the haem groups for O2. (Carbon monoxide is the gas that binds to haem.)

    AHL

Self-test

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Multiple-choice questions

  1. Question 1Blood flows continuously through the capillaries around the alveoli. Why does this increase the rate at which oxygen enters the blood?
  2. Question 2Premature babies sometimes cannot yet secrete enough surfactant and have great difficulty breathing. What is the role of surfactant in a healthy lung?
  3. Question 3Which events happen during inspiration?
  4. Question 4A trace shows the volume of air in a student's lungs. During normal breaths it goes up and down between 2.4 dm³ and 2.9 dm³. When the student breathes in as deeply as possible it reaches 5.8 dm³, and after breathing out as fully as possible it falls to 1.4 dm³. What is the student's vital capacity?
  5. Question 5A student draws a plan diagram of a transverse section of a dicotyledonous leaf. Which feature is correct for this kind of drawing?
  6. Question 6A leafy shoot with open stomata is in still air at 20 °C. Which change would decrease its rate of transpiration?
  7. Question 7A student counts stomata in five fields of view of a leaf cast and finds a mean of 19 stomata per field. The diameter of the field of view is 0.40 mm. What is the stomatal density?
  8. Question 8AHLHow is a foetus able to take up oxygen from its mother's blood in the placenta?
  9. Question 9AHLThe percentage saturation of adult haemoglobin was measured at different partial pressures of oxygen (pO₂). Results — 1 kPa, 3 %; 2 kPa, 18 %; 3 kPa, 40 %; 4 kPa, 59 %; 5 kPa, 72 %; 8 kPa, 90 %; 13 kPa, 97 %. Which conclusion is supported by these data?
  10. Question 10AHLBlood passing through a contracting muscle has a higher concentration of carbon dioxide than blood in the lungs. What is the effect of this on oxygen transport?

Flashcards

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Prompt

Why do large organisms need a specialized gas-exchange surface?

Last reviewed 19 October 2026. Spotted a mistake? Report it.

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