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Atmospheric Pressure Calculation Formula

Atmospheric Pressure Formula:

\[ P = P_0 \times e^{\left( -\frac{Mgh}{RT} \right)} \]

Pa
kg/mol
m/s²
m
J/mol·K
K

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1. What is the Atmospheric Pressure Calculation Formula?

The Atmospheric Pressure Calculation Formula estimates the pressure at a given height above sea level using the barometric formula. It describes how atmospheric pressure decreases exponentially with altitude.

2. How Does the Calculator Work?

The calculator uses the atmospheric pressure formula:

\[ P = P_0 \times e^{\left( -\frac{Mgh}{RT} \right)} \]

Where:

Explanation: The formula assumes an isothermal atmosphere and ideal gas behavior, showing how pressure decreases exponentially with altitude.

3. Importance of Atmospheric Pressure Calculation

Details: Accurate atmospheric pressure calculation is crucial for meteorology, aviation, mountaineering, and various engineering applications where pressure variations with altitude must be considered.

4. Using the Calculator

Tips: Enter sea level pressure in Pascals, molar mass in kg/mol, gravity in m/s², height in meters, gas constant in J/mol·K, and temperature in Kelvin. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the typical value for sea level pressure?
A: Standard sea level pressure is 101325 Pascals (1013.25 hPa).

Q2: What molar mass should I use for air?
A: The average molar mass of dry air is approximately 0.02897 kg/mol.

Q3: What is the standard gravitational acceleration?
A: Standard gravity is 9.80665 m/s² at sea level.

Q4: What value should I use for the gas constant?
A: The universal gas constant is 8.314462618 J/mol·K.

Q5: How does temperature affect atmospheric pressure?
A: Higher temperatures generally result in lower pressure at a given altitude due to thermal expansion of the air.

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