Psychrometric Calculator
Humidity ratio, dew point, wet-bulb temperature, enthalpy and specific volume of moist air from dry-bulb temperature, relative humidity and pressure, using the ASHRAE 2017 equations
Moist-air properties from the ASHRAE Handbook—Fundamentals (2017) psychrometric equations
ASHRAE perfect-gas relations (Handbook—Fundamentals 2017, ch. 1) for dry-bulb temperatures from −100 to 200 °C at the absolute pressure you enter. Below 0.01 °C, saturation and relative humidity are taken over ice; weather reports usually give relative humidity over liquid water.
Accuracy: ASHRAE notes (citing Kuehn et al., 1998) that perfect-gas relations like these, used in place of the real-gas Hyland–Wexler formulas, err by less than 0.7 % in humidity ratio, enthalpy and specific volume of saturated air at 101.325 kPa between −50 and 50 °C, and by less at lower pressure. That statement covers only those conditions. The equations here were checked against PsychroLib at 10, 80, 101.325 and 200 kPa.
Wet bulb: the liquid-bulb energy balance (eq. 33) is solved first, and if it has a solution at or above 0 °C the bulb is taken to stay liquid there. Only otherwise is an ice-covered bulb (eq. 35) used, and then the result is marked. The two equations differ at 0 °C, so the wet bulb steps where the choice changes.
Psychrometric Properties
Saturation Pressure P_sat
3.1692 kPa
Partial Pressure P_w
1.9015 kPa
Humidity Ratio ω
0.01190 kg/kg
= 11.895 g/kg
Dew Point T_dp
16.70 °C
Wet-Bulb Temp T_wb
19.47 °C
Enthalpy h
55.45 kJ/kg
Specific Volume v
0.8608 m³/kg
ω, h and v are per kilogram of dry air.
Saturation Pressure (ASHRAE 2017, Hyland–Wexler)
Over liquid water (eq. 6, 0.01–200 °C): ln p_ws = C₈/T + C₉ + C₁₀T + C₁₁T² + C₁₂T³ + C₁₃ ln T
T = 298.15 K → p_ws = 3.1692 kPa (the equation takes T in K and gives p_ws in Pa)
W = 0.621945·p_w/(p − p_w); h = 1.006·t + W·(2501 + 1.86·t); v = 0.287042·(t + 273.15)·(1 + 1.607858·W)/p with p in kPa; the wet bulb solves the ASHRAE energy balance: eq. 33 for a liquid bulb, or eq. 35 for an ice-covered bulb only when eq. 33 has no solution at or above 0 °C.
Psychrometric Chart — ω vs Dry-Bulb Temperature
Constant relative-humidity curves; ● marks your state point
Tip: hover to read values, click to pin a point for export
Continue your calculation
Enter local absolute (station) pressure, not sea-level-corrected weather pressure. Relative humidity is a percentage. Below 0.01 °C the calculator follows ASHRAE and takes saturation over ice; weather reports usually give relative humidity over liquid water. The wet bulb is computed for a liquid bulb whenever that has a solution at or above 0 °C; only otherwise for an ice-covered bulb, which the result marks.
How to Use This Calculator
Enter your input values
Fill in all required input fields for the Psychrometric Calculator. Follow the units and input format printed next to each field. Where a unit selector is available, choose the units that match your data.
Review your inputs
Double-check that all values are correct and match the units or format shown for each field. Incorrect units are the most common source of calculation errors and can produce results that are off by factors of 2, 10, or more.
Read the results
The Psychrometric Calculator computes the output in your browser and displays the results, with units clearly labeled, as soon as they are ready — no data sent to a server.
Explore parameter sensitivity
Try adjusting individual input values to see how the output changes. This is a quick and effective way to develop intuition about how different parameters influence the result and to identify which inputs have the largest effect.
When to Use This Calculator
- •Use the Psychrometric Calculator to check your hand calculations on homework or exam problems — comparing its result with your own working helps identify arithmetic errors before they propagate.
- •Use it during the early design phase to rapidly iterate on parameters and narrow down feasible configurations before committing time to detailed finite element simulations or full design packages.
- •Use it when reviewing a colleague's calculation or checking a vendor's data sheet for plausibility — a quick sanity check can prevent costly downstream errors.
- •Use it to generate reference data for a technical report or presentation without manual computation, ensuring consistent, reproducible numbers throughout the document.
- •Use it in the field when a quick estimate is needed and a full engineering software package is not available.
About This Calculator
The Psychrometric Calculator is a precision engineering calculation tool designed for students, engineers, and technical professionals. Humidity ratio, dew point, wet-bulb temperature, enthalpy and specific volume of moist air from dry-bulb temperature, relative humidity and pressure, using the ASHRAE 2017 equations All calculations are performed using established engineering formulas from the relevant scientific literature and standards. Follow the units printed beside each field. Where a unit selector is provided, the selected unit is converted internally. Results are computed in your browser without sending data to a server, which keeps your inputs private. This calculator is intended as a supplementary tool for learning and design exploration; always verify results against authoritative references for safety-critical applications.
The Theory Behind It
Psychrometrics is the study of moist air — mixtures of dry air and water vapor. The key properties are: dry-bulb temperature (T_db, the air temperature from an ordinary thermometer), wet-bulb temperature (T_wb, the temperature of a water-wetted thermometer bulb that represents evaporative cooling), relative humidity (φ, the ratio of current vapor pressure to saturation vapor pressure at the same temperature), humidity ratio (W, mass of water vapor per unit mass of dry air), dew point (the temperature at which condensation begins when the air is cooled at constant pressure), enthalpy (h, total energy per unit mass of dry air), and specific volume (v). These properties are related through saturation curves and the psychrometric chart — a graphical representation that shows all properties simultaneously and allows any two to specify the complete state. For air-conditioning calculations, the enthalpy is particularly important because it captures both sensible heat (temperature change) and latent heat (moisture change) in a single value. Cooling and dehumidification moves air across the psychrometric chart from high h, high W to low h, low W — and the required refrigeration capacity equals the mass flow times the enthalpy difference. Common calculations include: sensible heating or cooling (constant W, varying T); evaporative cooling (constant enthalpy, crossing the saturation curve); humidification (adding moisture at constant T or following an adiabatic saturation line); and dehumidification (usually by cooling below dew point, then reheating). Building HVAC load calculations rely heavily on psychrometric analysis to determine cooling capacity, reheat, and humidity control requirements. The calculator implements the perfect-gas psychrometric equations of the ASHRAE Handbook—Fundamentals (2017), chapter 1, for dry-bulb temperatures from −100 °C to 200 °C and any absolute pressure above the water-vapour partial pressure (down to about 0.0014 Pa); they were checked against PsychroLib at 10, 80, 101.325 and 200 kPa, and the page shows a caution above 200 kPa. Below 0.01 °C it takes saturation (and therefore relative humidity) over ice, as ASHRAE does.
Real-World Applications
- •HVAC cooling load analysis: compute required refrigeration capacity for space conditioning given outdoor air conditions and desired indoor conditions. The total load is mass flow × enthalpy difference from outdoor to indoor state.
- •Dehumidification sizing: determine how much moisture must be removed to reach a target humidity ratio. Compare the humidity ratio of the entering air with that of the target state; a coil that dehumidifies must cool below the target dew point, which is why reheat is often needed afterwards.
- •Evaporative cooling effectiveness: from the inlet dry-bulb temperature and relative humidity, the calculator gives the wet-bulb temperature, the limit an evaporative cooler approaches. Useful for swamp cooler sizing in dry climates.
- •Outdoor air calculations: for 100% outdoor air systems, compute the enthalpy and moisture content of fresh air at various design conditions to size cooling and heating coils properly.
- •Drying process design: compute the moisture-carrying capacity of heated air used to dry grain, lumber, laundry, or industrial products. The air's enthalpy and humidity determine how much water it can absorb before saturation.
Frequently Asked Questions
What is the humidity ratio?
The humidity ratio W (also called specific humidity) is the mass of water vapor per unit mass of dry air, usually reported in kg_water/kg_air or gr_water/lb_air. At room temperature (24°C) with 50% relative humidity, W ≈ 0.0093 kg/kg (about 65 gr/lb). W is conserved during sensible heating or cooling (no moisture added or removed), making it the natural coordinate for air-conditioning processes that don't cross the dew point.
What's the difference between dry-bulb and wet-bulb temperature?
Dry-bulb temperature is the normal air temperature measured with a dry thermometer. Wet-bulb temperature is the temperature indicated by a thermometer with a water-soaked wick, where evaporative cooling from the wick brings the bulb to a lower temperature determined by the air's humidity. The difference between dry-bulb and wet-bulb is called the 'wet-bulb depression' and is zero when air is saturated (100% humidity) and maximum when air is very dry. Wet-bulb is the theoretical minimum temperature achievable by pure evaporative cooling.
What is the dew point?
The dew point is the temperature at which moist air becomes saturated (100% RH) when cooled at constant pressure and constant humidity ratio. Below the dew point, water condenses out of the air (dew forms on surfaces). For an indoor temperature of 24°C at 50% RH, the dew point is about 13°C — cold surfaces below this temperature will have condensation. Dew point is useful because it is a direct indicator of how much moisture the air contains, independent of temperature.
How is the cooling load computed from psychrometric properties?
Cooling load = ṁ_da × (h_inlet − h_outlet), where ṁ_da is the mass flow rate of dry air and h is the enthalpy per kilogram of dry air at each state. For a 10,000 CFM (4.72 m³/s) air handler cooling outdoor air at 35°C/60% RH (h = 90.2 kJ/kg) to supply air at 13°C/95% RH (h = 35.4 kJ/kg), Δh = 54.8 kJ/kg. With standard air at 1.2 kg/m³ (5.66 kg/s) the load is about 310 kW (88 tons); using the outdoor air's own specific volume (0.903 m³/kg dry air, 5.23 kg/s) gives about 286 kW. The enthalpy difference captures both sensible cooling (temperature drop) and latent cooling (moisture removal).
What's the purpose of the psychrometric chart?
The psychrometric chart is a graphical representation of moist air properties that allows any two variables (dry-bulb temperature and RH, for example) to locate the state point and read off all other properties. It shows how state points move during cooling, heating, humidification, dehumidification, and mixing processes. Before computers, the chart was the primary tool for HVAC design; it remains useful for conceptual understanding and quick calculations. The calculator provides the numerical equivalent for one common pair: from dry-bulb temperature and relative humidity (plus total pressure) it computes the humidity ratio, dew point, wet-bulb temperature, enthalpy and specific volume.
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References & Further Reading
Wikipedia
Academic Resources
- PsychroLib: a library of psychrometric functions to calculate thermodynamic properties of airJournal of Open Source Software
Meyer & Thevenard (2019): open-source implementation of the ASHRAE 2017 psychrometric equations, used as the reference for this calculator's tests.
Industry References
- ASHRAE — Technical ResourcesASHRAE
Industry-standard reference for HVAC&R property data and design methods.
Textbooks
- ASHRAE. ASHRAE Handbook—Fundamentals, Chapter 1: Psychrometrics, SI ed., 2017. ASHRAE.
Source of the saturation-pressure (eqs. 5–6), humidity-ratio, enthalpy, specific-volume and wet-bulb (eqs. 33 and 35) equations used here.
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