Air Pollution Index Calculator
Our environmental chemistry calculator computes air pollution index accurately. Enter measurements for results with formulas and error analysis.
Reviewed for accuracy by Manoj Kumar, Mathematics Educator
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 = 68 (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: I = 51 + ((20 - 12.1)/(35.4 - 12.1)) * (100 - 51) = 67.7 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(67.7, 63.4, 37.7, 28.6, 34.1) = 67.7
Result:AQI = 68 (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: 124.7 Sub-index NO2: 102.0, Sub-index SO2: 112.3 Sub-index CO: 108.6 AQI = max(163.7, 124.7, 102.0, 112.3, 108.6) = 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 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.
References
Background & Theory
History
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
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