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How to Calculate Saturated Vapor Pressure

Saturated Vapor Pressure Formula:

\[ P_{sat} = \frac{e^{(77.345 + 0.0057 \times T - \frac{7235}{T})}}{T^{8.2}} \]

K

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1. What is Saturated Vapor Pressure?

Definition: Saturated vapor pressure is the pressure exerted by a vapor in thermodynamic equilibrium with its condensed phases at a given temperature.

Purpose: It's crucial for understanding evaporation, boiling, humidity, and various industrial processes involving phase changes.

2. How Does the Calculator Work?

The calculator uses the empirical formula:

\[ P_{sat} = \frac{e^{(77.345 + 0.0057 \times T - \frac{7235}{T})}}{T^{8.2}} \]

Where:

Explanation: This formula provides an approximation of water's vapor pressure across a range of temperatures.

3. Importance of Saturated Vapor Pressure

Details: Understanding vapor pressure is essential for meteorology, HVAC design, chemical engineering, and many industrial processes involving evaporation or condensation.

4. Using the Calculator

Tips: Enter the temperature in Kelvin (K). The calculator will compute the saturated vapor pressure in Pascals (Pa).

5. Frequently Asked Questions (FAQ)

Q1: What temperature range is this formula valid for?
A: This approximation works well for typical environmental temperatures (273K to 373K).

Q2: How do I convert Celsius to Kelvin?
A: Add 273.15 to the Celsius temperature (K = °C + 273.15).

Q3: What's the relationship between vapor pressure and boiling point?
A: The boiling point occurs when vapor pressure equals atmospheric pressure.

Q4: Why does vapor pressure increase with temperature?
A: Higher temperatures give molecules more energy to escape the liquid phase.

Q5: How accurate is this approximation?
A: It provides good estimates for water but for precise work, consult thermodynamic tables.

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