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How To Calculate Vapor Pressure At A Given Temperature

Magnus Formula:

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

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1. What Is The Magnus Formula?

The Magnus formula is an empirical relationship that calculates the saturation vapor pressure of water at a given temperature. It's widely used in meteorology and atmospheric sciences to estimate water vapor content in the air.

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: The formula provides an approximation of the maximum amount of water vapor the air can hold at a specific temperature before condensation occurs.

3. Importance Of Vapor Pressure Calculation

Details: Saturation vapor pressure is crucial for understanding humidity, predicting weather patterns, calculating dew point, and in various engineering applications related to air conditioning and atmospheric studies.

4. Using The Calculator

Tips: Enter the temperature in degrees Celsius. The calculator will compute the saturation vapor pressure in hectopascals (hPa).

5. Frequently Asked Questions (FAQ)

Q1: What is saturation vapor pressure?
A: It's the pressure exerted by water vapor in thermodynamic equilibrium with its condensed phases at a given temperature.

Q2: How accurate is the Magnus formula?
A: The Magnus formula provides good approximations for temperatures between -45°C and 60°C, with typical errors less than ±0.5%.

Q3: What units are used for vapor pressure?
A: Vapor pressure is typically measured in hectopascals (hPa) or millibars (mb), which are equivalent (1 hPa = 1 mb).

Q4: How does temperature affect vapor pressure?
A: Vapor pressure increases exponentially with temperature - warmer air can hold significantly more water vapor than colder air.

Q5: Are there alternative formulas for vapor pressure calculation?
A: Yes, other formulas include the August-Roche-Magnus, Tetens, and Goff-Gratch equations, each with different ranges of validity and accuracy.

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