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Humidity ratio: $W = 0.622\,\dfrac{p_v}{101.325 - p_v}$ kg/kg
Enthalpy: $h = 1.006T + W(2501 + 1.86T)$ kJ/kg
Specific vol: $v = \dfrac{0.2871(T+273.15)(1+1.608W)}{101.325}$ m³/kg
Adjust dry-bulb temperature and relative humidity to plot the state point on a live psychrometric chart. Instantly computes humidity ratio, enthalpy, dew point, and specific volume via the Magnus formula.
While paused, move the sliders to update the result instantly.
The foundation is calculating how much water vapor the air can hold (saturation pressure) at a given temperature. This simulator uses the Magnus formula, a highly accurate empirical equation.
$$p_{sat}= 0.611 \exp\!\left(\dfrac{17.27\,T}{T+237.3}\right)$$Here, $p_{sat}$ is the saturation vapor pressure in kilopascals (kPa), and $T$ is the dry-bulb temperature in degrees Celsius. This tells us the maximum partial pressure of water vapor before condensation occurs.
From there, we can find the actual amount of moisture in the air. The key property is the Humidity Ratio, which is the mass of water vapor per mass of dry air.
$$W = 0.622\,\dfrac{p_v}{P_{atm} - p_v}$$$W$ is the humidity ratio (kg vapor /kg dry air ), $p_v$ is the partial pressure of water vapor (from RH and $p_{sat}$), and $P_{atm}$ is atmospheric pressure (101.325 kPa). This is a fundamental value for energy calculations, as shown in the enthalpy equation:
$$h = 1.006\,T + W(2501 + 1.86\,T)$$Where $h$ is specific enthalpy in kJ/kg. The term $1.006T$ is the sensible heat, $2501W$ is the latent heat of vaporization, and $1.86W T$ accounts for the heat capacity of the vapor itself.
HVAC System Design: Engineers use psychrometrics daily to size air conditioners, heaters, and dehumidifiers. For a given indoor space, they calculate the required coil temperature to achieve the right balance of cooling and dehumidification, ensuring comfort and preventing mold growth.
Industrial Drying & Processing: In food, pharmaceutical, and paper manufacturing, controlling air humidity is critical. The chart helps determine the exact temperature and humidity conditions needed to dry a product efficiently without damaging it, optimizing energy use.
Data Center Cooling: Preventing server overheating requires precise air management. Psychrometrics helps design cooling systems that maintain safe temperature and humidity levels, avoiding both overheating and static electricity caused by air that's too dry.
Weather Forecasting & Agriculture: Meteorologists use these principles to predict fog, frost, and precipitation. In agriculture, understanding dew point helps farmers manage irrigation schedules and protect crops from frost damage by knowing when condensation will occur.
When you start using this tool, there are a few points beginners often stumble on. The first is confusing "relative humidity" with "absolute humidity." Relative humidity is "the ratio of the current amount of water vapor in the air to the maximum amount it can hold at that temperature." Therefore, relative humidity changes drastically when the temperature changes. For example, if you bring outside air (5°C, 60% RH) indoors in winter and warm it to 22°C, the relative humidity plummets to below 20%. This is why humidification is necessary. By moving the temperature slider in the tool, you can see at a glance how the relative humidity changes.
The second point is how to interpret the "dew point temperature." While it's the wall temperature where condensation begins, it is determined solely by the amount of water vapor in the air (absolute humidity). So, if you only humidify the air without cooling it, the dew point temperature will rise. Conversely, condensation begins the moment the dry-bulb temperature is lowered to match the dew point. In practice, what's concerning is when the temperature drops locally inside a wall cavity or duct, falling below the dew point and causing unseen condensation (concealed condensation). When you check the dew point temperature with the tool, always consider: "Are there any parts in the actual equipment that become even colder than this?"
The third point is handling high humidity ranges. In a near-saturated state where relative humidity exceeds 90%, even a slight temperature change can cause significant condensation. Also, the calculation formulas used in the tool (like the Magnus formula) are highly accurate within the general HVAC range (approximately -20°C to 50°C), but for extremely high or low temperatures or high-pressure environments, specialized formulas or physical property databases are required. It's best to use this tool strictly as a "basic calculation" for HVAC and ventilation under atmospheric pressure.
For HVAC system design at sea level: input dry-bulb 22°C and relative humidity 60%. The calculator returns dew point 13.9°C, enthalpy 47.3 kJ/kg, and humidity ratio 9.9 g/kg. When cooling air to 18°C at constant humidity ratio, the relative humidity rises to about 77%, increasing condensation risk—requiring dehumidification or reheat strategy typical in commercial buildings.
Standard/formula: ASHRAE Handbook–Fundamentals moist-air relations. Saturation pressure via the Magnus/Tetens approximation p_ws = 0.61078·exp(17.27T/(T+237.3)) kPa. Humidity ratio W = 0.622·p_v/(101.325 − p_v) kg/kg. Specific enthalpy h = 1.006T + W(2501 + 1.86T) kJ/kg dry air. Specific volume v = 0.2871(T+273.15)(1+1.6078W)/101.325 m³/kg.
Assumptions: moist air as an ideal-gas mixture; total pressure fixed at sea-level 101.325 kPa; dew point from the Magnus inverse. At the default 25°C/50%RH: W=9.88 g/kg, h=50.31 kJ/kg, Tdp=13.89°C, v=0.8582 m³/kg (within 0.2% of ASHRAE reference).
Scope & limits: because saturation uses the Magnus approximation, p_ws is ~1–1.3% above the full Hyland–Wexler formulation. Best for the ~0–60°C comfort range; no altitude (pressure) correction and no sub-freezing/supersaturation handling.