Ventilation & humidity · Calculator

Air Purifier CADR Calculator

This calculator takes the room's floor area and ceiling height, the cleaning target (the AHAM two-thirds rule, or 4, 5 or 6 air changes per hour) and how many hours a day the purifier runs, and returns the clean air delivery rate the purifier needs, the air changes that gives, how often the room's air passes through the filter, the size class to look for and the electricity it uses.

Purifier boxes advertise a room size that is often calculated at a single air change per hour, a rate that does little for allergies or smoke. This calculator sizes by CADR, the AHAM-tested rating that the box also carries, against the targets that make a measurable difference, and it corrects the two-thirds rule for ceilings taller than the 8 ft it assumes.

Air Purifier CADR Calculator

Units
sq ft
ft
hours

Example result for the starting values. Enter your own and press Calculate.

Air purifier CADR needed

112 CFM

5 air changes per hour in 168 sq ft; medium (CADR 100 to 200)

Smoke CADR
112 CFM
Air changes
5
Class
medium
From the room to the rating
Room volume1,344 cu ft
AHAM 2/3 rule (smoke CADR)112 CFM
Air changes that gives5
CADR needed for your target112 CFM
Air changes per hour5
Minutes per pass12
Purifier classmedium (CADR 100 to 200)
Room size a box may claim for this CADR168 sq ft at the 2/3 rule; often far more at 1 ACH
Electricity at 12 h/day (about 0.25 W per CFM)0.34 kWh/day
FilterTrue HEPA (H13) or equivalent; replace per the maker's schedule, 6 to 12 months
Show the arithmetic
  1. Volume = 168 sq ft × 8 ft = 1,344 cu ft
  2. AHAM 2/3 rule = ⅔ × 168 sq ft = 112 CFM of smoke CADR (5 ACH)
  3. Target is the AHAM rule → CADR 112 CFM
  4. One pass of the room's air every 12 minutes
  • CADR (clean air delivery rate) is the AHAM-tested airflow of clean air for smoke, dust and pollen; smoke is the smallest particle and the limiting figure. The rating is on high speed; units are usually run a setting or two lower for noise, so a CADR with 30 to 50% in hand runs quietly. Purifiers remove particles, not gases or humidity; they do not replace ventilation.

Understanding your result

The headline is the smoke CADR the room needs, with the air changes per hour and the size class in the sub-line. The stats give the CADR, the air changes and the class. The table shows the room volume, the CADR the AHAM rule gives and its air changes, the CADR for your target if it differs, the minutes per pass (how long it takes for a room’s worth of air to go through the filter), the room size a box might print for this CADR, and the electricity on a middle setting.

The minutes per pass row is the intuitive version of air changes: at 5 ACH the room’s air goes through the filter every 12 minutes. The room size a box may claim row is there because manufacturers are allowed to print the area the CADR covers under the two-thirds rule, and some print a much larger area under a lower air-change assumption; compare CADRs, not room sizes.

The air changes calculator puts this rate next to ventilation and exhaust targets, the whole-house ventilation calculator sizes the fresh air a purifier cannot provide, and the filter cost calculator budgets the furnace filter, which is the other half of a house’s particle control.

How we calculate this

volume (cu ft) = floor area × ceiling height AHAM rule CADR = ⅔ × floor area × (ceiling height ÷ 8) CADR for a target = target air changes × volume ÷ 60 air changes = CADR × 60 ÷ volume minutes per pass = volume ÷ CADR electricity (kWh) = CADR × 0.25 W per CFM × hours ÷ 1,000

The two-thirds rule is AHAM’s own guidance for matching a purifier to a room: the smoke CADR should be at least two-thirds of the room’s area in square feet, which at an 8 ft ceiling is 4.8 air changes per hour. The calculator scales it for taller or lower ceilings so it stays a volume rule. The electricity uses 0.25 W per CFM of CADR, typical of efficient units on a middle fan setting; ENERGY STAR purifiers must deliver at least 2.0 CADR per watt. The particle targets and the air-change figures are on the ventilation and exhaust minimums page.

The assumptions behind the numbers

Assumption Value Where it comes from
Sizing rule Smoke CADR ≥ ⅔ × floor area, 8 ft ceiling AHAM guidance under ANSI/AHAM AC-1
Rating used Smoke CADR The smallest particle and lowest of the three CADRs
Air-change targets 4, 5 or 6 per hour Common guidance for particle reduction, allergy and wildfire smoke (EPA guide to air cleaners)
Size classes Under 100, 100 to 200, 200 to 350, 350+ CFM Typical portable purifier ranges
Power 0.25 W per CFM of CADR Efficient units on a mid setting; ENERGY STAR requires 2.0+ CADR per watt

Assumptions last reviewed October 8, 2026.

The calculator assumes the air in the room mixes well, which it does when the purifier is in the open and not behind furniture, and it does not account for particles brought in through open windows or from cooking during the period. It says nothing about gases, ozone-producing devices (to be avoided) or the filter class beyond recommending true HEPA. The guide to MERV filters and airflow covers whole-house filtration, which complements a room purifier.

Two worked examples

A bedroom by the AHAM rule

168 sq ft (12 × 14 ft), 8 ft ceiling, AHAM rule, running 12 hours a day.

  • Volume: 168 × 8 = 1,344 cu ft
  • AHAM rule: ⅔ × 168 = 112 CFM smoke CADR
  • Air changes: 112 × 60 ÷ 1,344 = 5 per hour; one pass every 12 minutes
  • Class: medium; electricity about 0.34 kWh a day

A purifier with a smoke CADR of 120 to 150 covers this room and runs quietly on a middle setting at night, which is the setting that will actually be used. A unit sold for “up to 500 sq ft” may have a CADR of only 110; it is the CADR that matters.

A living room with a 9 ft ceiling during smoke season

350 sq ft, 9 ft ceiling, target 5 air changes per hour, running 24 hours a day.

  • Volume: 350 × 9 = 3,150 cu ft
  • CADR for 5 ACH: 5 × 3,150 ÷ 60 = 263 CFM
  • One pass every 12 minutes; class large
  • Electricity about 1.6 kWh a day

The taller ceiling adds an eighth to the requirement, which the plain two-thirds rule would miss. A unit rated 300 or more, or two units around 150, will hold the room clean during a smoke event; closing the windows and running the central system’s fan with a MERV 13 filter adds whole-house filtration.

Where to find your inputs

Room area and ceiling. Length × width and the ceiling height; for open-plan spaces, include the whole connected area.

Target. The AHAM rule for general use, 5 for allergies or smoke, 6 for high protection.

CADR of a unit. On the AHAM Verified label on the box, given as three numbers for smoke, dust and pollen; use the smoke figure.

Common mistakes

  • Buying by the box’s room size. It may assume 1 or 2 air changes per hour; compare smoke CADR.
  • Using the pollen CADR. It is always the highest; smoke is the one to size by.
  • Ignoring the ceiling. A 10 ft ceiling needs 25% more CADR than the plain rule gives.
  • Running it on low. The rating is on high; size with a margin so a quiet setting does the job.
  • Putting it in a corner behind furniture. It cleans the air near it; give it open space.
  • Expecting it to ventilate. It does not add fresh air or remove CO₂ or humidity.

Questions people ask

What CADR do I need for my room?
By the AHAM rule, a smoke CADR of at least two-thirds of the room's floor area in square feet, for an 8 ft ceiling. A 12 × 14 ft bedroom of 168 sq ft needs a CADR of about 112 CFM, which cycles the room's air through the filter about 5 times an hour. A 350 sq ft living room with a 9 ft ceiling needs about 263 for 5 air changes per hour. Scale up for taller ceilings, because the rule is about volume.
What does CADR mean?
Clean air delivery rate, the volume of particle-free air a purifier delivers per minute, measured by the Association of Home Appliance Manufacturers' ANSI/AHAM AC-1 test. It is given for three particle types, tobacco smoke (the smallest), dust and pollen (the largest). The smoke figure is the lowest and the one to size by, because a purifier that handles smoke handles the larger particles too. CADR combines airflow and filter efficiency; a fast fan with a poor filter scores low.
How many air changes per hour should an air purifier give?
Four to five through the filter for a noticeable reduction in fine particles, which is what the AHAM two-thirds rule delivers at an 8 ft ceiling (about 4.8). For allergy and asthma relief, or during wildfire smoke, 5 to 6 is better. Box claims of large room sizes often assume 1 or 2 air changes per hour, which cleans the room far too slowly to matter.
Do air purifiers use much electricity?
Not much. An efficient purifier draws about 0.2 to 0.3 W per CFM of CADR on a middle setting, so a 112 CADR unit uses about 30 W and roughly 0.34 kWh in 12 hours, about 6 cents a day at average prices. Running on high doubles or triples the draw and the noise. The filter replacement, often $40 to $100 a year, usually costs more than the electricity.
Is one big purifier better than two small ones?
In a large room or an L-shaped space, two medium units at opposite ends clean more evenly and run more quietly than one large unit on high, because air near a single purifier is cleaned much more often than air in the far corner. For a single bedroom, one unit sized by the rule is enough. Above a CADR of about 350, two units are usually the better buy.
Can an air purifier replace ventilation?
No. A purifier removes particles, such as dust, pollen, smoke and some microbes on particles, from recirculated air. It does nothing for carbon dioxide, moisture or most gases and odours, and it adds no fresh air. Whole-house ventilation under ASHRAE 62.2 is still needed; the two work together. Purifiers with activated carbon remove some odours and gases, but the CADR rating does not measure that.
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