How To Calculate Barometric Pressure From Temperature

Ideal Gas Law Equation:

\[ P = \frac{\rho R T}{M} \]

Density (ρ):

kg/m³

Gas Constant (R):

J/kg·K

Temperature (T):

Molar Mass (M):

kg/mol

Barometric Pressure (P):

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1. What is the Ideal Gas Law Equation?

The ideal gas law equation \( P = \frac{\rho R T}{M} \) calculates barometric pressure from temperature and other gas properties. It's derived from the ideal gas law and provides a fundamental relationship between pressure, density, temperature, and molar mass of a gas.

2. How Does the Calculator Work?

The calculator uses the ideal gas law equation:

\[ P = \frac{\rho R T}{M} \]

Where:

\( P \) — Barometric pressure (Pa)
\( \rho \) — Density of the gas (kg/m³)
\( R \) — Specific gas constant (J/kg·K)
\( T \) — Absolute temperature (K)
\( M \) — Molar mass of the gas (kg/mol)

Explanation: The equation demonstrates how pressure increases with temperature when density and gas properties remain constant, following the ideal gas behavior.

3. Importance of Barometric Pressure Calculation

Details: Accurate barometric pressure calculation is essential for meteorological forecasting, aviation, industrial processes, and scientific research where gas behavior under different temperature conditions needs to be understood.

4. Using the Calculator

Tips: Enter density in kg/m³, gas constant in J/kg·K, temperature in Kelvin, and molar mass in kg/mol. All values must be positive and valid for accurate results.

5. Frequently Asked Questions (FAQ)

Q1: What is the ideal gas constant value for air?
A: For dry air, the specific gas constant R is approximately 287 J/kg·K.

Q2: Why use Kelvin instead of Celsius for temperature?
A: The ideal gas law requires absolute temperature, and Kelvin is the absolute temperature scale where 0 K represents absolute zero.

Q3: What is the molar mass of air?
A: The average molar mass of dry air is approximately 0.02897 kg/mol.

Q4: When is the ideal gas law applicable?
A: The ideal gas law works well for most gases at moderate temperatures and pressures, but may deviate at very high pressures or very low temperatures.

Q5: How does temperature affect barometric pressure?
A: According to the ideal gas law, pressure is directly proportional to temperature when density and gas composition remain constant.