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Air and smogthe chemistry of what we breathe

Every breath holds about 1022 molecules: mostly nitrogen and oxygen, a little argon and a pinch of carbon dioxide. Sometimes chimney dust, exhaust fumes and ozone join them. Fill a jar with air, smoke up a valley town and then clear it, tune a catalytic converter, save a limestone statue from acid rain, release a single chlorine atom into the ozone layer and watch CO2 change the pH of the ocean.

Composition → sources → reactions → effects → solutions. We have already solved many air problems; some are still waiting.

A jar of air: 1,000 molecules

dry air
nitrogen N₂oxygen O₂argon Arcarbon dioxide CO₂

Composition of dry air

by volume

Sources: CRC Handbook / NOAA (nitrogen, oxygen, argon); CO₂ — global average about 423 ppm in 2024 (NOAA GML), 424.6 ppm at Mauna Loa. Before the industrial era it was about 280 ppm (IPCC AR6).

One breath

0.5 L

In one breath
—
of which CO₂
—
of which O₂
—
Exhaled CO₂
—
N = p · VR · T · NA p = 101.3 kPa, T = 37 °C (310 K), NA = 6.022·1023 mol−1

A calm adult breath is about 0.5 L, the deepest one 3–5 L. Exhaled air is about 16% oxygen and about 4% CO₂ — roughly 100 times more than inhaled air.

Dust under a magnifier: from a hair to PM0.1

view 200 µm

×1

How much dust do we inhale?

—

25 µg/m³

15 m³

Per day
—
Over 100 winter days
—
WHO daily guideline
—
m = C · V C — concentration in µg/m³, V — air inhaled in a day (adult: about 11–20 m³)
soot + B(a)P

Soot from a kopciuch (Polish slang for an old, smoky coal stove) is made of carbon lumps with molecules of benzo[a]pyrene stuck to them — five fused carbon rings (orange drawing). B(a)P forms in incomplete combustion and travels with the dust deep into the lungs; it causes cancer. The EU target value: 1 ng/m³ as an annual average. In many Polish cities annual averages in recent years have been several times higher (GIOŚ — Poland's Chief Inspectorate of Environmental Protection, annual reports 2020–2023).

WHO 2021 guidelines for PM2.5: 15 µg/m³ as a daily average, 5 µg/m³ as an annual average. The badge color follows the thresholds of the Polish air quality index (GIOŚ) for PM2.5.

How does it work?

Air is a mixture of gases

Dry air is 78% nitrogen, 21% oxygen and almost 1% argon. The rest are trace gases, measured in ppm (parts per million) and ppb (parts per billion): 1 ppm is one molecule in a million. The ideal gas equation gives the number of molecules in a given volume:

N = p · VR · T · NA 0.5 L at 37 °C → about 1.2·1022 molecules

Smog and inversion

Dust concentration in a city depends on how much of it we release and on how many cubic meters of air it gets diluted in. In a simple “box” model:

C ≈ Cbg + Eu · H · W E — emissions, u — wind, H — mixing-layer height, W — valley width

During an inversion the mixing layer shrinks from several hundred meters to about 100–200 m, and in calm weather the wind carries almost nothing away. The same emissions then give a concentration several times higher.

Acids, bases and pH

pH = −log10[H+]    Δ pH = −1 → 10 times more H+;   Δ pH = −0.1 → 26% more

A gas dissolves in water in proportion to its partial pressure (Henry's law: c = KH · p). That's why more CO₂ in the air means more carbonic acid in raindrops and in the ocean.

Catalysts: in the car and in the stratosphere

A catalyst speeds up a reaction without being used up. In a car it's our ally: on platinum, palladium and rhodium, poisonous CO and NOₓ turn into CO₂ and N₂. In the stratosphere, the chlorine atom from CFCs turned out to be a catalyst too — except that it destroys ozone. It leaves every cycle unchanged, so it can repeat it thousands of times.

Simplifications: all simulations are models with approximate numbers. The town is a “box” with a single layer of air, photochemical smog is a few reactions instead of hundreds, and the stratosphere has sped-up chemistry. Measured numbers are labeled with their source and year.

Challenges

  1. Clean up the town: PM2.5 below the WHO guideline in midwinterSmog: at −5 °C or colder and wind of at most 2 m/s, bring the modeled concentration below 15 µg/m³. Hint: smog doesn't respect town borders.not completed
  2. Cause smog with a temperature inversionSmog: turn on the inversion and push PM2.5 to the “very bad” level (over 110 µg/m³).not completed
  3. Put the engine in the catalyst's windowExhaust: manually, without the lambda sensor, set the mixture so that a warm catalytic converter removes at least 90% of CO, HC and NOₓ at once, and hold it for 2 seconds.not completed
  4. Save the statue: flue-gas desulfurizationAcid rain: turn on desulfurization and keep rain pH at 5.0 or higher for 10 model years before the statue loses half of itself.not completed
  5. Destroy ozone with one chlorine atom (100 molecules)Ozone: release a CFC and watch a single Cl atom destroy 100 O₃ molecules.not completed
  6. Lower the ocean's pH by 0.1Oceans: start at 280 ppm and add CO₂ until the pH drops by 0.1 compared with 1850 at the same temperature.not completed

Did you know…?

  • Even perfectly clean rain is slightly acidic — its pH is about 5.6, because CO₂ from the air dissolves in it. We call precipitation “acid rain” when it is clearly more acidic, usually with a pH below 5.
  • A single chlorine atom from a CFC can destroy many thousands of ozone molecules in the stratosphere, because it leaves every cycle unchanged. CFCs stay in the atmosphere for decades, which is why the ozone layer recovers slowly — over Antarctica around 2066 (WMO/UNEP 2022).
  • In winter, dust concentrations in Polish cities often exceed the WHO guidelines many times over, and the main cause is heating homes with solid fuels in old stoves, not cars (GIOŚ, KOBiZE).

Stay safe

  • Carbon monoxide (CO) has no smell and no color. In a home with a stove, fireplace or gas water heater, it's worth having a CO alarm and getting the chimney flues inspected every year. Headache, drowsiness and nausea in several people at once are a warning sign: open the windows, go outside and call 112 (the European emergency number).
  • Never run an engine or a generator in a closed garage, and never block ventilation grilles.
  • On smoggy days there's no need to be afraid of going out — just cut back on hard exercise outdoors and air out rooms briefly.
  • Cabbage experiment: an adult pours the hot water; don't drink the liquid.

Keys

Q W E R T Y
switch modes
Space
start / pause: week in the valley, CO bathroom, time over the forest, stratosphere, Keeling curve
N
reset / new jar in the current mode
I
smog: inversion on / off
A
exhaust: lambda sensor in control
D
acid rain: flue-gas desulfurization
F
ozone: release one CFC
← →
on a slider or switch: change the value
Esc
stop everything

Where the numbers come from

  • WHO Global Air Quality Guidelines (2021): PM2.5 15 µg/m³ (24 h), 5 µg/m³ (year); O₃ 100 µg/m³ (8 h).
  • GIOŚ (Poland's Chief Inspectorate of Environmental Protection): the Polish air quality index (PM2.5 thresholds from 2019), annual air quality assessments 2020–2023.
  • EEA: “Air quality in Europe” 2020–2024; EU SO₂ emissions 1990–2022; sources of road-traffic dust (2022).
  • KOBiZE: Polish national emission inventory 2020–2022.
  • NOAA GML / Scripps: CO₂ at Mauna Loa 1958–2024; global average 2024.
  • IPCC AR6 (2021): preindustrial CO₂, ocean pH, SSP scenarios.
  • WMO/UNEP Scientific Assessment of Ozone Depletion (2022); US EPA (chlorine cycle).
  • EMEP/EEA Air Pollutant Emission Inventory Guidebook (2019/2023): emission factors for home heating.
  • PSP (Polish State Fire Service): carbon monoxide incident statistics, heating seasons 2018–2024; Ember/ARE: Poland's energy mix 2023–2024.