Enter a room and see what its carbon dioxide does over an occupied day — the curve, the level
it settles at, and how long it takes to cross the 1,000 ppm comfort target. Real
single-zone mass balance, with the method published below.
—
ppm at the end of the period
—
Room volume—
Steady state—
Crosses 1,000 ppm—
Outdoor air—
Per person—
How this is calculated
Single well-mixed zone, transient mass balance — the same model behind the
ventilation-rate arithmetic in ASHRAE Standard 62.1:
V · dC/dt = G − Q · (C − Cout)
where V is room volume in m³, C is indoor CO2,
G is CO2 generation from the occupants in m³/s, Q is
outdoor airflow in m³/s, and Cout is the outdoor concentration.
With constant G and Q this solves to
C(t) = Css + (C0 − Css) · e−Qt/V,
settling at a steady state of
Css = Cout + 106 · G / Q.
Per-person CO2 generation is scaled from metabolic rate. The
reference value is 0.0052 L/s (about 19 L/h) for a sedentary adult
at roughly 1.2 MET — the figure the ventilation standards are built on. Other activity
levels are scaled by MET ratio: sleeping about 0.9 MET, light activity 2.4 MET,
hard exercise 6–8 MET. A school-age child is scaled by body surface area to roughly
0.6× an adult.
What this model assumes: the room is well mixed (no stratification or
dead corners), generation and airflow are constant over the period, and there is no
CO2 source other than the occupants. Real rooms deviate — gas cooking, combustion
heaters and fermentation all add CO2; poor air distribution creates pockets that
run higher than the average. Treat the output as a well-founded estimate of what a room
like yours should do, and a measurement as the truth about what yours
actually does.
Reading the result
Two numbers matter more than the curve itself.
The steady state is where the room ends up if the occupancy continues
indefinitely. It is the honest verdict on the room, because it does not depend on how long
you happened to model. If it sits above 1,000 ppm, the ventilation is inadequate for that
occupancy no matter how long anyone stays.
Outdoor air per person is the number a ventilation engineer would look at.
ASHRAE Standard 62.1 specifies a per-person outdoor-air rate plus a per-floor-area rate for
each space type; for an office the per-person component is 2.5 L/s and for a classroom
3.8 L/s. If this calculator tells you the room delivers 1.2 L/s per person, that is
the size of the gap.
What to do with a bad result
- Raise the air-exchange rate — the only thing that lowers CO2.
Open something, or run a fan. Our
fan size calculator works out how much
air you actually need to move.
- Do it on demand rather than continuously. Try setting the air-change
rate to what your exhaust fan delivers and see how fast the room recovers — that recovery
time is how long the fan needs to run per cycle, not all day. This is the basis of
demand-controlled
ventilation.
- Then measure. A model tells you what a room like yours should do. Only
a sensor tells you what yours does — see
how to check and measure
CO2 in your room.