thermodynamics calculators

Psychrometric Properties Calculator

Compute moist-air properties — humidity ratio, enthalpy, and dew point — from dry-bulb temperature, relative humidity, and barometric pressure. Essential for HVAC engineers sizing equipment and diagnosing comfort problems.

About this calculator

Psychrometrics describes the thermodynamic properties of moist air. Three core calculations are supported. Humidity ratio (W) is the mass of water vapor per kg of dry air: W = 0.622 × (φ × e_s) / (P − φ × e_s), where saturation vapor pressure e_s = 0.611 × exp(17.27 × T / (T + 237.3)) kPa, φ is relative humidity as a fraction, and P is barometric pressure in kPa. Specific enthalpy (h) combines sensible and latent heat: h = 1.006·T + W·(2501 + 1.86·T) kJ/kg. Dew-point temperature (T_dp) is derived by inverting the Magnus formula: T_dp = 237.3 × ln(φ × exp(17.27·T / (T + 237.3))) / (17.27 − ln(φ × exp(17.27·T / (T + 237.3)))). These relationships underpin psychrometric charts and are critical for cooling-load calculations, dehumidification design, and air-handling unit selection.

How to use

Given: dry-bulb T = 30 °C, relative humidity φ = 60 %, barometric pressure P = 101.325 kPa. Step 1 — Saturation vapor pressure: e_s = 0.611 × exp(17.27 × 30 / (30 + 237.3)) = 0.611 × exp(1.937) ≈ 4.243 kPa. Step 2 — Humidity ratio: W = 0.622 × (0.60 × 4.243) / (101.325 − 0.60 × 4.243) = 0.622 × 2.546 / 99.12 ≈ 0.01598 kg/kg. Step 3 — Enthalpy: h = 1.006 × 30 + 0.01598 × (2501 + 1.86 × 30) ≈ 30.18 + 41.12 ≈ 71.3 kJ/kg. Step 4 — Dew point: T_dp ≈ 21.4 °C. Enter these values and select your desired output property.

Frequently asked questions

What is humidity ratio and how does it differ from relative humidity?

Relative humidity (RH) expresses how close the air is to saturation as a percentage, so it changes with temperature even when the actual moisture content stays constant. Humidity ratio (W), also called specific humidity or mixing ratio, measures the actual mass of water vapor in grams per kilogram of dry air. Because W is independent of temperature, it is the preferred variable for HVAC load calculations and psychrometric chart plotting. For example, air at 30 °C and 60 % RH has W ≈ 16 g/kg, but if that air is cooled to 20 °C its RH rises to roughly 87 % while W remains the same.

Why does barometric pressure matter for psychrometric calculations?

Water vapor pressure is a fraction of total atmospheric pressure, so the ratio of moisture to dry air depends on total pressure. At higher altitudes where barometric pressure is lower (e.g., 85 kPa in Denver vs. 101.3 kPa at sea level), the same relative humidity corresponds to a higher humidity ratio and different enthalpy. HVAC equipment sized using sea-level psychrometrics can be significantly undersized for high-altitude installations. Always enter the local barometric pressure for accurate results.

How do I use dew-point temperature to prevent condensation on ductwork?

Condensation forms on any surface whose temperature falls below the dew point of surrounding air. If your dew-point calculation returns 18 °C, any duct surface colder than 18 °C will sweat. Engineers use this to set minimum supply-air temperatures, specify duct insulation thickness, and position vapor barriers. In humid climates, the dew point can exceed 24 °C during summer, making uninsulated cold-water pipes and ducts prone to heavy condensation and mold risk.