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Air Psychrometrics: Mixed Air & Coil Leaving Conditions

This calculator determines the psychrometric properties of mixed air (outdoor air + return air) and the conditions of air leaving a cooling coil. Essential for HVAC system design, energy analysis, and ensuring occupant comfort.

HVACPsychrometricsAir ConditioningMixed AirCooling CoilAir Handling UnitEnthalpyHumidityThermodynamics

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FAQ

What is psychrometrics and why is it important for HVAC?
Psychrometrics is the study of the thermodynamic properties of moist air and is crucial for HVAC design and analysis. It helps engineers understand how temperature, humidity, and air flow affect comfort, indoor air quality, and energy consumption, allowing for efficient system design.
Why is it important to calculate mixed air conditions?
HVAC systems typically mix outdoor air (for ventilation) with return air from the conditioned space. Calculating mixed air conditions (temperature, humidity, enthalpy) is the first step in determining the total load on a conditioning coil and is essential for sizing equipment and predicting system performance.
What do 'coil leaving conditions' represent?
Coil leaving conditions refer to the psychrometric properties of the air immediately after it passes through a conditioning coil (e.g., cooling coil). For cooling coils, this often means the air has been cooled and dehumidified, reaching a saturated or near-saturated state at a specific temperature, known as the apparatus dew point (ADP).
Can this calculator be used for both cooling and heating coils?
This calculator is primarily designed for cooling coil leaving conditions, where the air is typically cooled and often dehumidified to a saturated state. While the mixed air calculation is general, the coil leaving output assumes the coil cools the air to the input 'Coil Surface Dry-Bulb Temp' and saturates it (100% RH). Heating coil calculations would involve different assumptions regarding moisture content.
What is enthalpy in HVAC and why is it useful?
Enthalpy is a measure of the total energy (sensible + latent) of the air. In HVAC, it helps quantify the total heat content that needs to be added or removed from air. It's particularly useful for calculating the total cooling or heating load across a coil, as the change in enthalpy directly relates to the energy transfer.
What are common units used in psychrometrics?
Common units include Dry-Bulb Temperature (DBT) in degrees Fahrenheit (°F) or Celsius (°C), Relative Humidity (RH) in percentage (%), Humidity Ratio (W) in pounds of water per pound of dry air (lb_w/lb_da) or grams per kilogram (g/kg), and Enthalpy (h) in British Thermal Units per pound of dry air (BTU/lb_da) or kilojoules per kilogram (kJ/kg). Flow rates are typically in Cubic Feet per Minute (CFM) or cubic meters per second (m³/s).
What happens if the cooling coil surface temperature is set above the air's dew point?
If the coil surface temperature is above the dew point of the incoming air, no dehumidification will occur. The air will only be sensibly cooled, and its relative humidity will increase but it will not reach 100%. This calculator simplifies by assuming the coil surface temperature sets the leaving air's dry-bulb temperature and saturates it, which is typical for dehumidifying coils.

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Why use this Air psychrometrics: mixed air and coil leaving conditions calculator?

Understanding the psychrometric properties of air at various stages within an HVAC system is not just academic; it's fundamental to designing efficient, comfortable, and healthy indoor environments. This calculator provides critical insights into two key phases: the mixing of outdoor and return air, and the conditioning of air as it leaves a cooling coil. These calculations are the bedrock for accurately determining cooling loads, sizing equipment, and ensuring optimal system performance. Every HVAC system that brings in fresh outdoor air for ventilation purposes must first mix it with recirculated return air from the conditioned space. The resulting 'mixed air' has its own unique temperature, humidity, and energy content, which is a weighted average of its two constituent streams. Accurately determining these mixed air conditions is the essential first step in the load calculation process, directly influencing the capacity required from the conditioning coil. Following the mixed air stage, the air typically passes through a cooling coil. This coil not only reduces the air's dry-bulb temperature (sensible cooling) but often also removes moisture (latent cooling/dehumidification). The 'coil leaving conditions' represent the state of the air after this process, which is crucial for predicting the air's ability to handle the room's sensible and latent heat gains. By knowing these conditions, engineers can ensure that the supply air delivered to a space will maintain the desired indoor temperature and relative humidity levels, preventing issues like overcooling, undercooling, or excessive humidity. Without precise calculation, systems can be undersized, leading to discomfort and humidity problems, or oversized, resulting in increased capital costs, higher energy consumption, and poor humidity control due to short cycling.

How the calculation works

The calculator performs a series of psychrometric calculations based on your input parameters, following established engineering principles. It begins by evaluating the psychrometric properties of both the Outdoor Air (OA) and Return Air (RA) streams. For each stream, given the dry-bulb temperature (DBT) and relative humidity (RH), the calculator determines the corresponding humidity ratio (W) and enthalpy (h). Here's a breakdown of the core calculations: 1. **Individual Air Stream Properties:** Using empirical formulas, the saturation pressure of water vapor (Psat) is determined for the given dry-bulb temperature. This Psat, combined with the relative humidity, allows for the calculation of the actual partial pressure of water vapor (Pv). From Pv, the humidity ratio (W – pounds of water vapor per pound of dry air) is derived. Finally, the enthalpy (h – total energy per pound of dry air) is calculated, accounting for both the sensible heat of the dry air and the latent heat of the water vapor. 2. **Mixed Air Conditions:** Once the properties of OA and RA are known, the calculator determines the mixed air conditions. This is done by performing a mass-weighted average of the DBT, humidity ratio, and enthalpy of the two air streams. While the input uses volumetric flow rates (CFM), for practical HVAC calculations at typical temperatures and pressures, a volumetric average is often a close approximation to a mass average. The formulas are essentially: `DBT_Mixed = (DBT_OA * Flow_OA + DBT_RA * Flow_RA) / Total_Flow` `W_Mixed = (W_OA * Flow_OA + W_RA * Flow_RA) / Total_Flow` `h_Mixed = (h_OA * Flow_OA + h_RA * Flow_RA) / Total_Flow` After calculating the mixed air DBT, W, and h, the mixed air relative humidity is then re-calculated based on its new DBT and W. 3. **Coil Leaving Conditions:** For cooling coils, a common design assumption is that the air leaves the coil in a saturated state (100% Relative Humidity) at a temperature close to the effective coil surface temperature, often referred to as the Apparatus Dew Point (ADP). This calculator uses the 'Cooling Coil Surface Temp (DBT)' as this effective leaving dry-bulb temperature. Assuming 100% RH at this temperature, the calculator then determines the corresponding humidity ratio and enthalpy of the coil leaving air. This assumption is robust for coils designed for dehumidification, as the air path usually allows for sufficient contact with cold, wet surfaces to reach saturation.

Common mistakes in Air psychrometrics: mixed air and coil leaving conditions

While this calculator automates complex psychrometric calculations, understanding common pitfalls helps in interpreting results and ensuring accuracy in real-world applications. 1. **Assuming Volume Flow is Mass Flow Equivalence:** A frequent simplification in mixed air calculations is to use volumetric flow rates (CFM) directly in weighted averages. While this is often acceptable for initial estimates due to the relatively small variations in air density, significant errors can occur when there are large temperature differences between the outdoor and return air streams. Air density varies with temperature and humidity, so a precise calculation would involve converting volumetric flow rates to mass flow rates (e.g., in lb/min or kg/s) before averaging properties. 2. **Ignoring Latent Load:** Some users might focus solely on dry-bulb temperature and overlook the crucial role of humidity (latent heat). A cooling coil not only cools the air (sensible load) but also removes moisture (latent load). Failing to account for the humidity ratio and enthalpy changes can lead to undersized dehumidification capacity and uncomfortable, sticky indoor environments, even if the temperature target is met. 3. **Misinterpreting Coil Surface Temperature:** The 'Coil Surface Dry-Bulb Temp' input is used here as the effective temperature to which the air is cooled and saturated. However, in reality, the actual leaving air temperature might be slightly higher than the coil surface temperature, and not perfectly saturated, especially with very high bypass factors or if the coil is not effectively dehumidifying. This input acts as a design-point or apparatus dew point (ADP) for the calculation. It's important not to confuse it with the refrigerant temperature inside the coil, which would be even lower. 4. **Incorrect Atmospheric Pressure:** Psychrometric properties are dependent on atmospheric pressure. This calculator assumes standard atmospheric pressure at sea level (14.696 psi). For projects at high altitudes, the atmospheric pressure will be lower, significantly impacting calculations, particularly the humidity ratio. For precise work, adjusting the atmospheric pressure based on elevation is necessary. 5. **Using Inaccurate Psychrometric Formulas or Constants:** The underlying formulas for saturation pressure, humidity ratio, and enthalpy are empirical and rely on specific constants. Using simplified or outdated formulas, or constants calibrated for different units or temperature ranges, can introduce errors. The formulas used in this calculator are standard approximations suitable for typical HVAC applications. 6. **Neglecting System Losses/Gains:** This calculator focuses on ideal mixed air and coil leaving conditions. In a real system, factors like heat gains/losses through ductwork, fan heat addition, and duct leakage can alter air conditions between stages. These factors should be considered in a comprehensive system analysis.

Data Privacy & Security

In an era where digital privacy is paramount, we have designed this tool with a 'privacy-first' architecture. Unlike many online calculators that send your data to remote servers for processing, our tool executes all mathematical logic directly within your browser. This means your sensitive inputs—whether financial, medical, or personal—never leave your device. You can use this tool with complete confidence, knowing that your data remains under your sole control.

Accuracy and Methodology

Our tools are built upon verified mathematical models and industry-standard formulas. We regularly audit our calculation logic against authoritative sources to ensure precision. However, it is important to remember that automated tools are designed to provide estimates and projections based on the inputs provided. Real-world scenarios can be complex, involving variables that a general-purpose calculator may not fully capture. Therefore, we recommend using these results as a starting point for further analysis or consultation with qualified professionals.

Fact-checked and reviewed by CalcPanda Editorial Team
Last updated: January 2026
References: WHO Guidelines on BMI, World Bank Financial Standards, ISO Calculation Protocols.
Mixed Air & Coil Leaving Conditions Calculator | HVAC Psychrometrics