Interpret saturation limits without hiding the result
Retain a supersaturated proposal and distinguish state arithmetic from condensation physics.
Learning outcome: Diagnose RH above 100% and state what extra processes and observations are needed to predict condensation.
Starting recap
RH above 100% means supplied vapor pressure exceeds the liquid-water saturation value. The browser retains that calculation and flags the proposed state.
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Try
At 10°C with e = 20 hPa, raw RH is about 163%, placing the proposal outside the model’s non-supersaturated equilibrium interpretation.
Open the experimentPredict
Would silently clamping a raw relative humidity above 100% preserve the supplied vapor-pressure relationship?
Experiment
At vapor pressure 20 hPa compare 20, 18, 16 and 10°C. Capture a non-supersaturated case and a flagged proposal, preserving the raw values.
Separate humidity, temperature and dew point
Worked teaching model · synthetic values · Liquid-water saturation approximation over 0–40 °C; fixed total pressure 1000 hPa. Changing temperature at fixed vapor partial pressure preserves the vapor-to-dry-air mass ratio before saturation, not the volume of a sealed container. Supersaturated proposals remain visible; no condensation, latent heat, nuclei, ice, cloud evolution or precipitation is calculated. Synthetic settings are not weather observations.
Reset keeps your prediction, captures and practice history.
| Quantity | Value and interpretation |
|---|---|
| Air temperature T | 20 °C |
| Vapor partial pressure e | 20 hPa |
| Saturation pressure eₛ(T) | 23.369 hPa, equilibrium over liquid water |
| Relative humidity 100e/eₛ | 85.58%, retained even above 100% |
| Dew point Tᵈ | 17.51 °C, where eₛ(Tᵈ) = e |
| Mixing ratio 622e/(1000 − e) | 12.694 g vapor/kg dry air |
| Temperature minus dew point | 2.49 °C; negative means the proposed vapor pressure exceeds saturation |
At or below saturation. Cooling at fixed vapor pressure reaches saturation at the dew point. Continued cooling with condensation would change the vapor pressure; the controls do not calculate that process.
Warm the air at fixed vapor pressure: relative humidity falls while dew point and mixing ratio stay fixed. Add vapor at fixed temperature: all three rise. Neither comparison alone predicts rain or cloud cover. The formula is approximate, refers to liquid water, and is not an ice frost-point calculation.
Relative humidity 85.58%; dew point 17.51 °C. At or below liquid-water saturation.
eₛ = 6.112 exp(17.67T/(T + 243.5)) hPa; RH = 100e/eₛ. Vapor mixing ratio = 12.694 g/kg dry air at 1000 hPa total pressure. Raw relative humidity is not clamped to 100%.
Captures preserve recipes and replay their calculated results. They are synthetic model evidence, not physical measurements.
Understand
Apply
Public practice checks a specific claim. It does not establish independent mastery.
Separate supersaturation from a condensation forecast, explain why clamping hides a mismatch, and list information absent from a fog or rain prediction.
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Completion requires a saved prediction, at least one capture and a reflection. Presence checks do not grade your reasoning.
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