How it is calculated
- Room volume = floor area × ceiling height
- Air changes per hour = CADR ÷ room volume
- Time (hours) = ln(starting PM2.5 ÷ target PM2.5) ÷ air changes per hour
- Time (minutes) = hours × 60
This assumes a sealed room with well-mixed air and no new pollution. To find the CADR you need for a room, use the air purifier size calculator. To see how bad the air is, use the PM2.5 to US AQI calculator.
Worked example
A 20 m² room with a 2.7 m ceiling is 54 m³. A purifier with a CADR of 270 m³/h gives 270 ÷ 54 = 5 air changes an hour. Going from 150 to 15 µg/m³:
- ln(150 ÷ 15) = ln(10) = 2.303
- Time = 2.303 ÷ 5 = 0.46 hours, about 28 minutes
Why your number may differ
Treat this as a best case. Doors, gaps and people coming and going let polluted air in. Purifier performance drops as filters clog and at lower fan speeds. PM2.5 sensors vary by a few µg/m³. Indoor sources such as cooking and candles add particles. This is general information, not medical advice.