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Calcimator

Vapor Dispersion Calculator

Estimate downwind hazard distance using Gaussian plume dispersion modeling.

About this calculator

Hazard Distance grows with Release Rate and shrinks as Wind Speed, Molecular Weight, or Target Concentration rise — Wind Speed and Molecular Weight both work through the denominator of a simplified inverse-square relationship, so a faster wind or a heavier (denser) vapor concentrates the same release into a shorter downwind hazard zone in this model, while a lower Target Concentration threshold (a stricter exposure limit, such as a lower ERPG-2 or AEGL-2 value) extends the distance needed to dilute down to that stricter limit. Atmospheric Stability scales the whole calculation through a stability-dependent dispersion coefficient — more unstable conditions (A/B, typically sunny midday with light wind) disperse a plume faster and shrink the estimated distance, while more stable conditions (E/F, typically clear calm nights) concentrate it and extend the distance, which matches the general behavior of real atmospheric dispersion even though the specific numeric coefficients used here are a simplified approximation rather than a full implementation of the published Pasquill-Gifford sigma-y/sigma-z curves (those are piecewise power-law functions of downwind distance itself, not the simpler linear-in-distance form used here).

Molecular Weight alone drives Vapor Density and Heavier Than Air — Release Rate, Wind Speed, and the other inputs have zero effect on those two outputs. This calculator is a planning-level screening estimate for training and general awareness, not a validated dispersion model — real emergency response protective-action decisions should rely on tools like ALOHA/CAMEO and a qualified HAZMAT responder, not a single simplified downwind-distance number.

Inputs

mph

Results

Hazard Distance (ft)

640

Hazard Distance (miles)

0.12

Hazard Distance (meters)195
Hazard Zone Area (acres)14.75
Vapor Density (Air=1)1.24
Heavier Than AirYes
Travel Time (min)0.7

Figures current as of 2026. Source: NOAA/EPA ALOHA (Areal Locations of Hazardous Atmospheres) Technical Documentation, Ch. 4 (originating from Pasquill, F. 1961, "The Estimation of the Dispersion of Windborne Material," Meteorology Magazine)

How to Use This Calculator
  1. Enter the Release Rate (lbs/min) from the incident report or estimate based on container size and breach type.
  2. Input the Wind Speed (mph) from on-site weather monitoring and select the Atmospheric Stability class (1=Very Unstable to 6=Very Stable).
  3. Enter the Molecular Weight (g/mol) for the released chemical — find this on the SDS or in NIOSH/CAMEO databases.
  4. Set the Target Concentration (ppm) to the ERPG-2 or AEGL-2 value for the chemical to define the protective action zone.
  5. Review Hazard Distance (ft) and Hazard Zone Area (acres) to establish protective action zones for evacuation or shelter-in-place.
  6. Check Vapor Density and Heavier Than Air to determine whether the vapor will accumulate in low-lying areas or dissipate upward.

How the result changes with Release Rate (lbs/min)

Release Rate (lbs/min)Hazard Distance (ft)Hazard Distance (miles)
54530.09
7.55540.1
157840.15
251,0140.19

What each input means

Release Rate (lbs/min)
Rate of chemical release in pounds per minute.
Wind Speed (mph)
Sustained wind speed in miles per hour.
Atmospheric Stability
Pasquill-Gifford atmospheric stability class. Sunny midday with light wind is typically A/B; clear, calm nights are typically E/F.
Molecular Weight (g/mol)
Molecular weight of the chemical (e.g., HCl=36, NH3=17, Cl2=71).
Target Concentration (ppm)
ERPG-2 or AEGL-2 concentration threshold.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    5 parameters
    Release Rate (lbs/min) = 10, Wind Speed (mph) = 10, Atmospheric Stability = 4, Molecular Weight (g/mol) = 36, Target Concentration (ppm) = 20 = 5 input(s) provided
  2. Calculate Hazard Distance
    Hazard Distance
    640 = 640
  3. Calculate Hazard Distance
    Hazard Distance
    0.12 = 0.12
  4. Calculate Hazard Distance
    Hazard Distance
    195 = 195
  5. Calculate Hazard Zone Area
    Hazard Zone Area
    14.75 = 14.75

Figures and sources

Engine last updated . Checked against 2 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a higher Wind Speed shrink my Hazard Distance instead of extending it?

In this simplified model, a faster wind disperses and dilutes the released vapor more quickly, spreading the same total release over a shorter downwind distance before it drops below the Target Concentration threshold. This reflects the general behavior of real plume dispersion, though a real incident also involves the direction and gustiness of wind, which this single-value estimate can't capture.

Does Molecular Weight affect anything besides Vapor Density?

Yes — beyond setting Vapor Density and Heavier Than Air directly, Molecular Weight also factors into the concentration conversion used for Hazard Distance, since a heavier gas represents more mass per unit of parts-per-million concentration. Release Rate and Wind Speed, by contrast, have no effect on Vapor Density or Heavier Than Air at all — those two outputs depend on Molecular Weight alone.

Is the Atmospheric Stability scaling based on the real published Pasquill-Gifford dispersion curves?

It's a simplified approximation inspired by that framework, not a literal implementation of it. The real Pasquill-Gifford sigma-y and sigma-z curves — documented, for example, in NOAA/EPA's ALOHA Technical Documentation, which implements the same Pasquill-Gifford-Turner stability typing scheme for its own Gaussian dispersion model — are piecewise power-law functions of downwind distance that differ by stability class in a more complex way than the constant dispersion coefficient used here, which assumes plume spread grows roughly linearly with distance. The direction of the effect — unstable conditions dispersing faster, stable conditions concentrating more — matches real atmospheric behavior, but the specific coefficients are illustrative, not a certified match to published values.

Can I use this calculator's Hazard Distance to set an actual evacuation perimeter?

No — this is a planning-level screening tool for training and general situational awareness, not a certified emergency-response instrument. Real protective-action decisions during an actual chemical release should come from validated dispersion software (such as ALOHA/CAMEO), site-specific data, and a qualified HAZMAT responder or emergency manager, never from a single simplified distance figure.

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