Air Purifier CADR Calculator

Work out the CADR an air purifier needs for your room at a chosen number of air changes per hour, check what a unit you are considering actually achieves, and see the running cost.

How to use this calculator

  1. 1Enter the room’s dimensions and, importantly, its real ceiling height — the industry shorthand assumes eight feet and understates anything taller.
  2. 2Pick a target. Two air changes an hour is what most boxes assume; four to five is what general and allergy guidance suggest; six or more for wildfire smoke or asthma.
  3. 3Enter the smoke CADR of a unit you are considering, from the AHAM Verifide seal rather than the marketing copy, to see what it actually achieves in your room.
  4. 4Compare the "room that unit really covers" figure against the room size printed on the box. The gap is usually a factor of two or more.
  5. 5Add the filter cost. Over a few years it frequently exceeds the price of the machine.

How the calculation works

Room volume (cu ft) = floor area x ceiling height CADR needed (cfm) = volume x target ACH ÷ 60 ACH achieved = unit CADR x 60 ÷ volume Two-thirds rule CADR = floor area x 0.667 Room a unit covers (sq ft) = CADR x 60 ÷ (target ACH x ceiling height)
CADR
Clean Air Delivery Rate in cubic feet per minute — airflow multiplied by single-pass removal efficiency, measured by AHAM in a sealed chamber
ACH
Air changes per hour — how many times the room’s entire volume is processed each hour. The number that actually predicts whether you notice a difference
60
Minutes in an hour, converting between the per-minute CADR and the per-hour ACH
0.667
AHAM’s two-thirds rule. At an eight-foot ceiling it is arithmetically identical to 5 air changes an hour

The two-thirds rule and a 5 ACH target are the same statement. Two-thirds of the floor area, divided by an eight-foot ceiling and multiplied by 60, gives exactly 5. The rule only diverges from a proper calculation when the ceiling is not eight feet — and then it understates the requirement, sometimes badly.

AHAM publishes three CADR figures: smoke, dust and pollen. Smoke is measured with the smallest particles and is the hardest to achieve, so it is the most conservative single number to compare units by and the one this calculator assumes you are entering.

CADR is measured at the unit’s highest fan speed. That is usually loud enough that people run the machine lower, at which point the effective CADR falls well below the label. Buying a larger unit so it can be run quietly is a real strategy, not an upsell.

Worked example

A 300 sq ft bedroom with an 8 ft ceiling, sized for allergies

  1. 1.Volume: 300 sq ft x 8 ft = 2,400 cubic feet.
  2. 2.At 5 air changes an hour: 2,400 x 5 = 12,000 cubic feet an hour, or 12,000 ÷ 60 = 200 cfm of CADR.
  3. 3.AHAM’s two-thirds rule gives 300 x 0.667 = 200 cfm — the same answer, because the rule is 5 ACH at an 8 ft ceiling.
  4. 4.A 250 cfm unit delivers 250 x 60 ÷ 2,400 = 6.3 air changes an hour, comfortably above target, so one is enough.
  5. 5.That unit properly covers 250 x 60 ÷ (5 x 8) = 375 sq ft at this target — while its box probably claims around 900 sq ft, quoted at 2 ACH.
  6. 6.Running cost: 50 W for 24 hours is 438 kWh a year, $80.77, plus $60 of filters — $140.77 a year.

Result: 200 cfm CADR

What CADR actually measures

Clean Air Delivery Rate is the Association of Home Appliance Manufacturers’ answer to a problem that used to make air purifiers impossible to compare: a manufacturer could advertise a high airflow with a poor filter, or a superb filter with a fan too weak to move meaningful air through it, and both could claim to clean a room.

CADR collapses the two into one number by measuring the outcome rather than the components. A unit runs in a sealed 1,008 cubic foot chamber, a measured quantity of pollutant is introduced, and the rate of decay is compared against natural settling with the machine off. The difference, expressed as cubic feet per minute, is the volume of perfectly clean air the machine is effectively producing. A CADR of 200 means the unit does whatever 200 cubic feet a minute of outdoor-clean air would do.

AHAM publishes three figures, for tobacco smoke, dust and pollen, because particle size changes how easily a filter catches it. Smoke particles are the smallest and hardest, so the smoke CADR is always the lowest of the three and the most conservative basis for comparison. A unit displaying the AHAM Verifide seal has been independently tested; a number quoted without that seal is a manufacturer’s claim.

Why air changes per hour is the number that matters to you

CADR describes the machine. Air changes per hour describes what happens in your room, and it is the one that predicts whether you notice anything.

The arithmetic is simple: multiply CADR by 60 to get cubic feet an hour, and divide by the room’s volume. A 200 cfm unit in a 2,400 cubic foot bedroom gives 5 air changes an hour. The same unit in an open-plan living space of 8,000 cubic feet gives 1.5, and will feel like it is doing nothing.

The thresholds worth knowing: around 2 ACH is enough to clear cooking smells and general staleness. Four to five is the range most indoor air quality guidance and most allergists settle on, and it is where people with hay fever or a cat generally start reporting a real difference. Six or more is for actively generated fine particulate — wildfire smoke infiltrating from outside, or a household with asthma. Above eight you are into the territory hospitals use for airborne infection isolation, and reaching it quietly in a domestic room is difficult.

This is also where the manufacturer’s "recommended room size" on the box goes wrong. That figure is very commonly calculated at 2 ACH, which is a defensible general-purpose rate and roughly half what someone buying a purifier for allergies actually wants. A machine sold as covering 900 square feet may genuinely cover 900 square feet at 2 ACH, and only 360 at five.

The two-thirds rule, and where it breaks

The rule of thumb promoted by AHAM and repeated widely is that a purifier’s CADR should be at least two-thirds of the room’s floor area in square feet. A 300 square foot room wants a CADR of at least 200.

It is a good rule, and it is worth understanding that it is not a separate piece of advice from the air-change target — it is the same statement in different units. Two-thirds of the floor area, multiplied by 60 minutes and divided by an eight-foot ceiling, comes to exactly 5 air changes an hour. The rule is a 5 ACH recommendation with the ceiling height baked in.

Which is precisely where it fails. In a room with a ten-foot ceiling the rule delivers 4 ACH, and in a vaulted living space with a sixteen-foot peak it delivers 2.5 — while appearing to give the same answer. Because the failure is silent and the arithmetic looks unchanged, this is the single most common way people end up with an undersized purifier in exactly the kind of large open room where they most wanted one.

What a purifier cannot do

Air cleaners are effective against a narrower set of problems than their marketing suggests, and being clear about the boundary saves money.

  • Particles: yesa HEPA filter captures at least 99.97% of particles at 0.3 microns, the hardest size to catch, and does better on both larger and smaller ones. Pollen, dust, mould spores, pet dander, smoke particulate and most virus-carrying aerosols are all in scope.
  • Gases and odours: only with carbon, and only for a whilevolatile organic compounds and smells pass straight through a HEPA filter. An activated carbon stage adsorbs many of them, but it saturates, and a saturated carbon filter can release what it captured. The thin carbon-impregnated pads in most consumer units hold very little.
  • Carbon dioxide: nono consumer air cleaner removes CO2. If the room feels stuffy and people get drowsy, that is a ventilation problem, and the answer is outdoor air rather than filtration.
  • Radon: noradon is a gas that decays into particles. Filtration removes some of the decay products and does nothing about the gas, and it is not an accepted mitigation. Radon requires sub-slab depressurisation.
  • Mould in the wall: noa purifier catches spores in the air and has no effect on a colony growing on a damp surface. That is a moisture problem, and it comes back as fast as it is filtered.

Ozone, and a note on what to avoid

Some air cleaners work by generating ozone, or produce it as a by-product — this includes ozone generators sold explicitly as such, and some ionisers, electrostatic precipitators and "plasma" devices.

Ozone is a lung irritant. The EPA is unambiguous that ozone generators sold as air cleaners are not effective at concentrations that comply with public health standards, and that at concentrations high enough to affect airborne contaminants they are hazardous to breathe. California went further and prohibits the sale of indoor air cleaners emitting more than 0.05 parts per million of ozone, which is why reputable manufacturers now publish CARB certification.

The practical guidance is simple: a mechanical filter — HEPA for particles, activated carbon for gases — has no such trade-off. It removes contaminants by trapping them rather than by reacting with them, and it produces nothing. If a device claims to clean air by emitting something, that is a reason for caution rather than a feature. Check for CARB certification, and be sceptical of anything marketed on "active" technology.

A DIY option that genuinely competes

One thing worth knowing before spending several hundred dollars: a box fan taped to one or more MERV-13 furnace filters — the arrangement known as a Corsi-Rosenthal box after the two engineers who popularised it during the pandemic — achieves a CADR comparable to commercial units costing many times more.

The reason it works is that CADR is airflow times single-pass efficiency, and the design trades efficiency for area. A MERV-13 filter is less efficient per pass than HEPA, but five of them arranged as a cube present so much filter area that resistance drops, the fan moves far more air, and the product of the two comes out ahead. Measured builds routinely reach 300 to 600 cfm for a materials cost well under a hundred dollars.

The honest drawbacks are that it is bulky, it is not attractive, a box fan is noisier than a purpose-built purifier at equivalent airflow, and it has no automatic control. For a bedroom people care about the look of, a commercial unit is a reasonable purchase. For a workshop, a basement, a nursery during wildfire season, or anywhere several rooms need covering at once, the DIY version is difficult to argue against on cost per unit of clean air.

What this assumes, and where it stops

Assumptions

  • The room is treated as a single well-mixed volume. Real rooms have dead spots, and a purifier in a corner behind furniture underperforms this calculation.
  • CADR entered is the AHAM smoke figure at the unit’s highest fan speed, which is how the rating is measured.
  • The two-thirds rule comparison uses AHAM’s 0.667 factor applied to floor area, which corresponds to 5 air changes an hour at an eight-foot ceiling.
  • Running cost assumes the unit draws its stated wattage for the hours entered, every day of the year, and that filters are replaced on schedule.
  • No credit is taken for particle removal by settling, by the HVAC system’s own filter, or by outdoor air exchange.

Limitations

  • Air changes per hour assumes perfect mixing. Placement matters — against a wall, behind a sofa, or in a corner all reduce effective performance, and no calculator can capture that.
  • CADR is measured at maximum fan speed. If the unit is too loud to run there, its effective CADR is much lower than the figure entered.
  • Only particulate removal is modelled. Gases, odours and carbon dioxide follow completely different rules, and CADR says nothing about them.
  • The rating chamber is 1,008 cubic feet. Extrapolating a CADR to a very large open-plan volume is an approximation, and multiple smaller units distributed around the space usually outperform one large one.
  • Filter life varies enormously with how dirty the air is. A unit run through a wildfire season may need filters two or three times faster than the schedule assumed here.

Common questions

What size air purifier do I need for a 300 sq ft room?

For allergy-level cleaning at five air changes an hour with a standard eight-foot ceiling, about 200 cfm of CADR. That matches AHAM’s two-thirds rule, which is 300 × 0.667. For general freshening at two air changes an hour, 80 cfm is enough; for wildfire smoke at six, you want 240.

What is CADR and why does it matter more than filter type?

Clean Air Delivery Rate is airflow multiplied by how much the filter removes in a single pass, measured independently by AHAM. It matters more than the filter grade alone because a superb HEPA filter behind a weak fan cleans very little air, and a strong fan with a mediocre filter cleans a lot of air badly. CADR captures both in one number.

Why does the box say a much bigger room than this calculator?

Because manufacturers usually quote their recommended room size at two air changes an hour, which is a general-freshening rate. At the four to six air changes that allergy and smoke guidance suggest, the same machine covers a third to a half as much floor area. Both numbers are honest; they answer different questions.

Does the two-thirds rule work for high ceilings?

No, and this is its main weakness. The rule bakes in an eight-foot ceiling — two-thirds of floor area works out to exactly five air changes an hour at that height. In a room with a ten-foot ceiling it silently delivers four, and in a vaulted space it can fall to two or three while appearing to give the same answer.

Are ozone generators or ionisers worth considering?

No. The EPA states that ozone generators sold as air cleaners are not effective at concentrations that meet public health standards, and are hazardous to breathe at concentrations that would affect contaminants. California prohibits indoor air cleaners emitting above 0.05 ppm of ozone. A mechanical HEPA filter removes particles by trapping them and emits nothing.

Sources

Formula and content last reviewed on .

Results are estimates for information only, not professional advice.

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