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Calculate Rate of Evaporation

Evaporation Rate Equation:

\[ E = \frac{(P_{sat} - P_v) A}{R T} \]

Pa
Pa
K
J/mol·K

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1. What is the Evaporation Rate Equation?

The evaporation rate equation estimates the mass transfer rate of a liquid evaporating into a gas. It's based on the difference between saturation pressure and vapor pressure, surface area, and temperature.

2. How Does the Calculator Work?

The calculator uses the evaporation rate equation:

\[ E = \frac{(P_{sat} - P_v) A}{R T} \]

Where:

Explanation: The equation shows that evaporation rate increases with greater pressure difference and surface area, and decreases with higher temperature.

3. Importance of Evaporation Rate Calculation

Details: Calculating evaporation rate is crucial for chemical engineering processes, environmental studies, and industrial applications where precise control of evaporation is needed.

4. Using the Calculator

Tips: Enter all values in SI units. Ensure temperature is in Kelvin (K = °C + 273.15). The gas constant is pre-set to 8.314 J/mol·K but can be adjusted if needed.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between P_sat and P_v?
A: P_sat is the maximum vapor pressure at a given temperature, while P_v is the actual vapor pressure in the system.

Q2: Why does temperature appear in the denominator?
A: Higher temperature means more energy per molecule, so fewer molecules are needed to achieve the same pressure.

Q3: What are typical evaporation rates?
A: Rates vary widely but are often in the range of 10^-6 to 10^-3 kg/s for many industrial applications.

Q4: Are there limitations to this equation?
A: This assumes ideal gas behavior and doesn't account for convection or other mass transfer mechanisms.

Q5: How does surface area affect evaporation?
A: Evaporation rate is directly proportional to surface area - doubling the area doubles the evaporation rate.

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