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ASHRAE Fundamentals · Verified

Psychrometric Calculator

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In short — moist air properties

Fix the state of moist air with two independent properties (plus pressure) and everything else follows.

W = 0.621945 · pw / (p − pw)   kg water / kg dry air

h = 1.006·t + W(2501 + 1.86·t)   kJ / kg dry air

  • pw — vapour pressure = RH × pws(t), where pws is the saturation pressure.
  • Dew point — the temperature at which pw becomes the saturation pressure. Cool below it and water condenses.
  • Wet bulb — the adiabatic saturation temperature, found by iteration. It is not a simple formula.

Worked example. 25 °C, 50 % RH, sea level (101.325 kPa): pws = 3,169 Pa → pw = 1,585 Pa → W = 9.88 g/kg, h = 50.32 kJ/kg, dew point 13.86 °C, wet bulb 17.89 °C, specific volume 0.858 m³/kg.

Altitude matters. The same 25 °C / 50 % RH air in Denver (83.4 kPa) has a humidity ratio of 12.05 g/kg — 22 % higher — while the dew point is unchanged at 13.86 °C. A psychrometric chart printed for sea level is simply wrong at elevation, and this is why.

🌡️ Psychrometric properties of moist air

Enter the dry bulb plus any one of relative humidity, wet bulb or dew point. Altitude is applied to the barometric pressure.

Humidity ratio W
Enthalpy h
Dew point
Wet bulb
Specific volume
Density

⚠️ ASHRAE-based. Verify against the current Handbook of Fundamentals for design work.

Standards & method

✓ Formula independently verified 12 July 2026
Reference
ASHRAE Handbook of Fundamentals, Chapter 1 (Psychrometrics)
Equations applied
  • Saturation vapour pressure — ASHRAE (Hyland–Wexler) formulation, with a separate ice branch below 0 °C
  • Humidity ratio W = 0.621945 · pw / (p − pw)
  • Enthalpy h = 1.006·t + W(2501 + 1.86·t)
  • Specific volume v = 0.287042·T(1 + 1.607858·W) / p
  • Wet bulb — adiabatic saturation relation, solved by bisection
  • Barometric pressure corrected for altitude
Accuracy
Saturation pressure checked against IAPWS steam-table values at 0, 10, 20, 25, 30, 40, 50, 60, 80 and 100 °C — maximum error 0.09 %, inside ASHRAE's own stated tolerance.
Independently verified
12 July 2026 — 18 numeric assertions against ASHRAE reference values, all passing, including the saturated and dry-air limits.

Why this matters: Most online psychrometric calculators use the Magnus approximation and assume sea-level pressure. Both are fine at 20 °C in London and wrong in Denver or a boiler room. This one uses the ASHRAE formulation and corrects for altitude — the humidity ratio at 25 °C / 50 % RH is 22 % higher at 1,600 m than at sea level.

Results are for guidance. Verify against the current ASHRAE Handbook for design work.

What each property actually tells you

Humidity ratio (W)

Kilograms of water vapour per kilogram of dry air. Not per kilogram of moist air — that distinction trips people up. It is the property that stays constant when you heat or cool air without adding or removing moisture, which is why it is the vertical axis of a psychrometric chart.

Enthalpy (h)

Total heat content per kilogram of dry air, sensible plus latent. The difference in enthalpy between two states, multiplied by the mass flow of dry air, is the coil load. This is the number an HVAC engineer actually sizes equipment from.

Dew point

Cool the air below this and water condenses. It depends only on the vapour pressure — not on the total pressure — so it is unchanged by altitude. That is a useful sanity check: if a calculator's dew point moves when you change the elevation, it is wrong.

Wet bulb

The temperature a wet thermometer reaches in moving air — the adiabatic saturation temperature. There is no closed-form expression for it; it must be solved iteratively. Calculators that give you a one-line "wet bulb formula" are giving you an approximation, usually the Stull correlation, which is good to about ±0.3 °C over a limited range.

The altitude mistake

Take air at 25 °C and 50 % RH.

  • At sea level (101.325 kPa): W = 9.88 g/kg.
  • In Denver (≈83.4 kPa): W = 12.05 g/kg22 % more water per kilogram of dry air.
  • Dew point in both cases: 13.86 °C. Unchanged.

Same temperature, same relative humidity, same dew point — but a fifth more moisture to condense out. Size a dehumidification coil from a sea-level chart at altitude and you will undersize it. This calculator applies the ASHRAE altitude relation to the barometric pressure, so the numbers are right where you actually are.

Psychrometric Calculator — frequently asked

What is the humidity ratio of air?

The humidity ratio W is the mass of water vapour per unit mass of dry air, W = 0.621945 × pw / (p − pw), where pw is the partial pressure of water vapour and p is the total barometric pressure. It is expressed in kg/kg or g/kg of dry air — note that the denominator is dry air, not moist air.

How do you calculate the enthalpy of moist air?

h = 1.006·t + W(2501 + 1.86·t), in kJ per kg of dry air, with t in °C and W in kg/kg. The first term is the sensible heat of the dry air and the second is the latent plus sensible heat carried by the water vapour. The enthalpy difference across a coil, times the dry-air mass flow, is the coil load.

Does altitude change the dew point?

No. The dew point depends only on the water-vapour partial pressure, so it is unaffected by the total barometric pressure. But the humidity ratio does change — at the same temperature and relative humidity, air at altitude holds significantly more water per kilogram of dry air. At 25 °C and 50% RH the humidity ratio is 9.88 g/kg at sea level and 12.05 g/kg in Denver.

What is the difference between wet bulb and dew point?

The dew point is the temperature at which the air becomes saturated if you cool it without changing its moisture content. The wet bulb is the temperature reached by evaporative cooling — it is always between the dew point and the dry bulb. They are equal only when the air is saturated (100% RH).

Is there a formula for wet-bulb temperature?

Not a closed-form one. The wet bulb is defined by the adiabatic saturation relation, which must be solved iteratively. Published one-line formulas (such as the Stull correlation) are approximations accurate to roughly ±0.3 °C over a limited range. This calculator solves the relation properly by bisection.

What is the density of air at 20 °C?

Dry air at 20 °C and 101.325 kPa has a density of about 1.204 kg/m³. Moist air is slightly less dense than dry air at the same temperature and pressure, because a water molecule (18 g/mol) is lighter than the average air molecule (29 g/mol) it displaces — which surprises most people.

Why is my psychrometric calculator giving different numbers?

Most likely one of two reasons. Either it uses the Magnus approximation for saturation pressure instead of the ASHRAE formulation, or it assumes sea-level barometric pressure. Both are acceptable near 20 °C at sea level and increasingly wrong away from it.