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How To Calculate Saturated Water Vapor Pressure

Saturated Water Vapor Pressure Formula:

\[ e_s = 6.112 \times \exp\left(\frac{17.67 \times T}{T + 243.5}\right) \]

°C

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1. What is Saturated Water Vapor Pressure?

Saturated water vapor pressure (e_s) is the pressure exerted by water vapor in thermodynamic equilibrium with its condensed phases at a given temperature. It represents the maximum amount of water vapor the air can hold at a specific temperature.

2. How Does the Calculator Work?

The calculator uses the Magnus formula:

\[ e_s = 6.112 \times \exp\left(\frac{17.67 \times T}{T + 243.5}\right) \]

Where:

Explanation: This empirical formula provides an accurate approximation of saturated vapor pressure over water for temperatures between -50°C and 60°C.

3. Importance of Saturated Vapor Pressure Calculation

Details: Calculating saturated vapor pressure is essential in meteorology, HVAC design, industrial processes, and environmental science. It helps determine humidity levels, predict precipitation, and design climate control systems.

4. Using the Calculator

Tips: Enter temperature in degrees Celsius. The formula is valid for temperatures between -50°C and 60°C. For temperatures outside this range, specialized equations may be needed.

5. Frequently Asked Questions (FAQ)

Q1: What's the difference between actual and saturated vapor pressure?
A: Actual vapor pressure is the current pressure of water vapor in air, while saturated vapor pressure is the maximum possible vapor pressure at a given temperature.

Q2: How does temperature affect saturated vapor pressure?
A: Saturated vapor pressure increases exponentially with temperature. Warmer air can hold significantly more water vapor than colder air.

Q3: Why is this calculation important for weather forecasting?
A: It helps determine relative humidity, dew point, and the likelihood of precipitation, fog, or cloud formation.

Q4: Are there different formulas for different temperature ranges?
A: Yes, specialized equations exist for very low temperatures (over ice) and very high temperatures, but the Magnus formula works well for most common applications.

Q5: How accurate is this formula?
A: The Magnus formula provides accuracy within 0.1% for temperatures between -30°C and 35°C, making it suitable for most practical applications.

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