Air Pollution Index Calculator
Calculate the Air Quality Index (AQI) from pollutant concentrations including PM2.5, PM10, NO2, SO2, and CO using EPA breakpoint tables.
Air Pollution Index Calculator
Calculator
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Formula: AQI = max(I_PM2.5, I_PM10, I_NO2, I_SO2, I_CO)
Worked example โ AQI = 71 (Moderate)
Formula
AQI = max(I_PM2.5, I_PM10, I_NO2, I_SO2, I_CO)
The AQI is determined by calculating sub-indices for each pollutant using piecewise linear interpolation between EPA concentration breakpoints, then taking the maximum sub-index as the overall AQI value.
Worked Examples
Example 1: Moderate Air Quality Day
Problem:PM2.5 = 20 ug/m3, PM10 = 80 ug/m3, NO2 = 40 ppb, SO2 = 20 ppb, CO = 3 ppm
Solution:Sub-index PM2.5 (2024 breakpoints): I = 51 + ((20 - 9.1)/(35.4 - 9.1)) * (100 - 51) = 71.3 Sub-index PM10: I = 51 + ((80 - 55)/(154 - 55)) * (100 - 51) = 63.4 Sub-index NO2: 37.7, Sub-index SO2: 28.6, Sub-index CO: 34.1 AQI = max(71.3, 63.4, 37.7, 28.6, 34.1) = 71.3
Result:AQI = 71 (Moderate)
Example 2: Unhealthy Air Quality
Problem:PM2.5 = 80 ug/m3, PM10 = 200 ug/m3, NO2 = 120 ppb, SO2 = 100 ppb, CO = 10 ppm
Solution:Sub-index PM2.5: 163.7, Sub-index PM10: 123.3 Sub-index NO2: 104.6, Sub-index SO2: 111.8 Sub-index CO: 109.4 AQI = max(163.7, 123.3, 104.6, 111.8, 109.4) = 163.7
Result:AQI = 164 (Unhealthy)
Frequently Asked Questions
What is the Air Quality Index (AQI)?
The Air Quality Index is a standardized numerical scale used by government agencies worldwide to communicate the level of air pollution to the public. The AQI ranges from 0 to 500, where values below 50 indicate good air quality and values above 300 represent hazardous conditions. It is calculated by measuring concentrations of major pollutants including PM2.5, PM10, nitrogen dioxide, sulfur dioxide, and carbon monoxide, then converting each to a sub-index using EPA breakpoint tables.
How is the AQI calculated from pollutant concentrations?
The AQI is calculated using a piecewise linear function that converts each pollutant concentration into a sub-index between 0 and 500. The EPA defines concentration breakpoints for each pollutant corresponding to AQI breakpoints of 0, 50, 100, 150, 200, 300, and 500. The sub-index for each pollutant is computed as I = ((I_high - I_low) / (C_high - C_low)) * (C - C_low) + I_low. The overall AQI is the maximum sub-index among all measured pollutants.
What are PM2.5 and PM10 particles, and why does the AQI track both?
PM2.5 refers to fine particulate matter with a diameter of 2.5 micrometers or less, small enough to penetrate deep into the lungs and even enter the bloodstream. PM10 includes particles up to 10 micrometers in diameter, which can irritate the respiratory system. Both are produced by combustion engines, industrial processes, dust, and wildfires. PM2.5 is generally considered more dangerous because its smaller size allows it to reach the alveoli and cause cardiovascular and pulmonary diseases.
What health precautions should I take at different AQI levels?
At AQI 0-50 (Good), no precautions are needed. At 51-100 (Moderate), unusually sensitive individuals should consider limiting prolonged outdoor exertion. At 101-150 (Unhealthy for Sensitive Groups), children, elderly, and those with respiratory conditions should reduce outdoor activity. At 151-200 (Unhealthy), everyone should reduce prolonged outdoor exertion. At 201-300 (Very Unhealthy), everyone should avoid outdoor exertion. Above 300 (Hazardous), remain indoors and use air purification.
What are common sources of nitrogen dioxide and sulfur dioxide?
Nitrogen dioxide (NO2) is primarily produced by vehicle emissions, power plants, and industrial combustion processes. It contributes to smog formation and can aggravate respiratory conditions at concentrations above 100 ppb. Sulfur dioxide (SO2) mainly originates from burning fossil fuels containing sulfur, particularly coal and oil used in power generation and industrial manufacturing. SO2 can cause acid rain and respiratory irritation, with health effects observed at concentrations as low as 75 ppb during short-term exposure.
Why is the AQI the highest sub-index rather than a sum or an average?
The index exists to name the pollutant of greatest concern, so it reports the worst sub-index and identifies it as the responsible pollutant. Averaging would let a single dangerous pollutant hide behind four clean ones, and summing would push the scale past 500 without any health meaning attached to the total. The trade-off is real: moderate exposure to several pollutants at once reads no worse than the same level of one, even though effects are broadly additive.
What averaging period does each pollutant sub-index assume?
Each breakpoint table is written for a specific averaging window, because that is how the underlying standard was set. In the United States scheme, PM2.5 and PM10 sub-indices use 24-hour averages, carbon monoxide uses a rolling 8-hour average, and nitrogen dioxide and sulfur dioxide use 1-hour maxima. Ozone, which this tool does not include and which often drives summer smog, uses an 8-hour average. Feeding a single instantaneous reading into a 24-hour table overstates short spikes and understates persistent haze.
Why does the same AQI number mean different concentrations in different countries?
Because each national index anchors its scale to its own ambient standards. An index of 100 is defined as the concentration at that country's standard for the pollutant, and those standards differ, as do the pollutants included and the number of categories. India, China, the European Union and the United States all publish indices on similar-looking scales that map to different micrograms per cubic metre. For any cross-border comparison, compare the measured concentrations rather than the index values.
What is a NowCast value and why does it differ from a 24-hour average?
A NowCast lets an hourly-updating map be expressed on a scale built for 24-hour averages. Rather than waiting for a full day of data, it takes a weighted average of recent hourly measurements and leans harder on the most recent ones when concentrations are changing quickly, so a wildfire plume or a rush-hour spike shows up promptly instead of being buried. During a fast-moving smoke event the NowCast will therefore read well above the eventual 24-hour figure, and it drops faster once the plume clears.
How do I convert nitrogen dioxide or sulfur dioxide between ppb and micrograms per cubic metre?
Gas concentrations by volume convert to mass per volume through the molar volume of an ideal gas: micrograms per cubic metre equals ppb times the molar mass divided by 24.45, the litres per mole at 25 degrees C and 1 atmosphere. Nitrogen dioxide at 46.01 g/mol gives 1.88 micrograms per cubic metre per ppb; sulfur dioxide at 64.07 g/mol gives 2.62. The divisor shifts if an agency specifies a different reference temperature, so check which convention a dataset uses before mixing sources.
References
Background & Theory
History
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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