The ACH Calculation Formula
Air changes per hour and airflow are two views of the same thing, linked by room volume:
- ACH from airflow: ACH = (CFM × 60) ÷ room volume (ft³)
- Airflow from a target: CFM = (ACH × room volume) ÷ 60
- Room volume: length × width × ceiling height
Worked example: a 12×12 bedroom with 8 ft ceilings holds 1,152 ft³. A 100 CFM airflow delivers (100 × 60) ÷ 1,152 ≈ 5.2 ACH - right at the bedroom target. Need the airflow side of this math in more depth (per-ton system CFM, duct capacity, exhaust fans)? That's our HVAC CFM calculator.
How to Calculate Air Changes per Hour, Step by Step
The tool at the top is an air changes per hour calculator, and it runs both ways: as an ACH to CFM calculator when you know the target, and as a CFM to ACH calculator when you know the fan. HVAC people call it an ACH calculator, others an air change per hour calculator, an air changes calculator or an air exchange calculator. By hand, the calculation of air changes per hour takes three steps, and you need only a tape measure and one airflow figure.
- Find the room volume. Multiply length by width by ceiling height, all in feet. The answer is in cubic feet.
- Find the airflow in CFM. Use the rating of the fan, the purifier or the supply register that serves the room.
- Multiply the CFM by 60 and divide by the volume. That is the number of times the air in the room is replaced each hour.
How do you calculate air changes per hour? Multiply the airflow in CFM by 60 and divide by the room volume, which is also how to calculate air change rate, how to calculate ACPH and how to calculate air exchange rate. Air change rate, ACPH and air exchange rate are three more names for ACH, so the air change per hour formula and the ACPH formula are the one written above. Written as the ACH equation or the air changes per hour formula, it is still CFM times 60 over the volume. The ACH to CFM formula is the same line solved for airflow: CFM = ACH × volume ÷ 60.
Worked Example: A Room 20 Feet by 15 Feet With a 10-Foot Ceiling
This is a well known exam question: a room has dimensions of 20 feet by 15 feet with a 10-foot high ceiling, and six 200 CFM registers supply air to it. How many air changes per hour take place? The volume is 20 × 15 × 10 = 3,000 cubic feet. The six registers deliver 6 × 200 = 1,200 CFM. The air change calculation is (1,200 × 60) ÷ 3,000 = 24 air changes per hour.
That is a commercial level of airflow. For a home, turned round, the same room needs 200 CFM for 4 air changes per hour, 300 CFM for 6 and 400 CFM for 8. Tip: double the ceiling height and you halve the ACH from the same fan. Floor area alone never tells you the air change rate per hour, because the fan has to move the whole volume.
ACH to CFM Chart for Common Room Sizes
The airflow each room needs to reach a given number of air changes per hour. Read across from the room to the rate you are aiming for.
| Room | Volume | 2 ACH | 4 ACH | 6 ACH | 8 ACH |
|---|---|---|---|---|---|
| 10 x 10 ft room, 8 ft ceiling | 800 cu ft | 27 CFM | 53 CFM | 80 CFM | 107 CFM |
| 12 x 12 ft room, 8 ft ceiling | 1,152 cu ft | 38 CFM | 77 CFM | 115 CFM | 154 CFM |
| 15 x 15 ft room, 8 ft ceiling | 1,800 cu ft | 60 CFM | 120 CFM | 180 CFM | 240 CFM |
| 20 x 15 ft room, 10 ft ceiling | 3,000 cu ft | 100 CFM | 200 CFM | 300 CFM | 400 CFM |
| 20 x 20 ft room, 8 ft ceiling | 3,200 cu ft | 107 CFM | 213 CFM | 320 CFM | 427 CFM |
| 1,000 sq ft, 8 ft ceiling | 8,000 cu ft | 267 CFM | 533 CFM | 800 CFM | 1,067 CFM |
| 2,000 sq ft, 8 ft ceiling | 16,000 cu ft | 533 CFM | 1,067 CFM | 1,600 CFM | 2,133 CFM |
To go from CFM to air changes per hour for a room that is not in the chart, use the calculator at the top. It works as an air change rate calculator in one direction and an air changes per hour to CFM converter in the other.
Recommended ACH by Space
How many air changes per hour do you need? It depends on what the room is for. There is no single standard air change per hour figure for a house. The table gives the usual target for each kind of space.
| Space | Recommended ACH | Basis |
|---|---|---|
| Bedroom | 5 - 6 | comfort ventilation |
| Living room / office | 6 - 8 | comfort ventilation |
| Kitchen | 7 - 9 | cooking moisture & odors |
| Bathroom | 6 - 8 | moisture removal |
| Basement | 3 - 4 | low occupancy |
| Air purifier target (allergies/asthma) | 4 - 5 | AHAM / EPA guidance |
| Classroom | 5 - 6 | ASHRAE 62.1 ventilation basis |
| Hospital patient room | 6 total (2 outdoor) | ASHRAE 170 |
| Hospital operating room | 20 total (4 outdoor) | ASHRAE 170 |
| Laboratory | 6 - 12 | hazard-dependent, per lab safety standards |
Air Purifiers: Turning CADR Into ACH
An air purifier's CADR (Clean Air Delivery Rate) is simply CFM of cleaned air, measured per AHAM's AC-1 standard - so the ACH formula applies directly. The industry target for allergies, asthma, smoke, and airborne illness is 4-5 ACH. Two things manufacturers' "coverage" claims hide: the ratings assume 8-foot ceilings(a 10-foot ceiling cuts effective ACH by 25%), and marketing room sizes are often quoted at only 1-2 ACH. AHAM's own rule of thumb - CADR × 1.55 = maximum room square footage - already bakes in roughly 4.8 ACH at 8 ft ceilings, which is why the calculator reports it as the honest coverage number.
ACH vs. ACH50: Ventilation vs. Airtightness
Don't mix these up. Operating ACH describes air your equipment moves on purpose. ACH50 comes from a blower-door test - the house depressurized to 50 Pascals - and grades how leaky the envelope is: modern energy codes require 3-5 ACH50, older homes commonly test 10-20, and Passive House certification demands 0.6. To estimate real-world infiltration from a test result, divide ACH50 by about 20. That natural leakage number feeds directly into heating and cooling loads - it's one of the inputs in our HVAC load calculator.