Temperature Of Air During Humidification Calculator

Formula Used:

\[ Air\ Temperature = \left(\frac{0.622 \times Enthalpy\ of\ Evaporation}{Specific\ Heat\ of\ Air \times (Lewis\ Number^{0.67})}\right) \times \left(\frac{Partial\ Pressure}{Total\ Pressure} - \frac{Partial\ Pressure\ in\ air}{Total\ Pressure}\right) + Wet\ Bulb\ Temperature \]

Enthalpy of Evaporation (hfg):

J/kg·K

Specific Heat of Air (cp):

J/kg·K

Lewis Number (Le):

Partial Pressure (Pw):

Total Pressure (PT):

Partial Pressure in air (P∞):

Wet Bulb Temperature (Tw):

°C

Air Temperature (T∞):

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1. What is the Temperature Of Air During Humidification Formula?

The Temperature Of Air During Humidification formula calculates the air temperature during humidification processes using enthalpy of evaporation, specific heat of air, Lewis number, partial pressures, and wet bulb temperature. This is essential for understanding heat and mass transfer in humidification systems.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ T_{\infty} = \left(\frac{0.622 \times h_{fg}}{c_p \times (Le^{0.67})}\right) \times \left(\frac{P_w}{P_T} - \frac{P_{\infty}}{P_T}\right) + T_w \]

Where:

\( h_{fg} \) — Enthalpy of evaporation (J/kg·K)
\( c_p \) — Specific heat of air (J/kg·K)
\( Le \) — Lewis Number (dimensionless)
\( P_w \) — Partial pressure of water vapor at wet bulb temperature (Pa)
\( P_T \) — Total pressure (Pa)
\( P_{\infty} \) — Partial pressure in air of water vapor (Pa)
\( T_w \) — Wet bulb temperature (°C)

Explanation: The formula accounts for the energy transfer during humidification and the relationship between temperature, pressure, and thermodynamic properties of air.

3. Importance of Air Temperature Calculation

Details: Accurate air temperature calculation during humidification is crucial for designing HVAC systems, industrial humidification processes, and understanding psychrometric properties of air-water vapor mixtures.

4. Using the Calculator

Tips: Enter all required values with appropriate units. Ensure all pressure values are in Pascals, temperature in °C, and thermodynamic properties in consistent SI units.

5. Frequently Asked Questions (FAQ)

Q1: What is the significance of the Lewis number in this formula?
A: The Lewis number represents the ratio of thermal diffusivity to mass diffusivity and is crucial for characterizing simultaneous heat and mass transfer processes.

Q2: How does enthalpy of evaporation affect air temperature?
A: Higher enthalpy of evaporation requires more energy for phase change, which affects the temperature change during humidification.

Q3: What are typical values for specific heat of air?
A: The specific heat of air at room temperature is approximately 1005 J/kg·K.

Q4: When is this formula most applicable?
A: This formula is particularly useful for analyzing adiabatic saturation processes and cooling tower operations.

Q5: What are the limitations of this approach?
A: The formula assumes ideal gas behavior and may have limitations at extreme temperatures or pressures, or when non-ideal effects are significant.