1. What is the Ideal Gas Density Equation?

The ideal gas density equation calculates the density of an ideal gas from its pressure, molar mass, and temperature. It's derived from the ideal gas law and assumes the gas behaves ideally (no intermolecular forces and molecules occupy negligible space).

2. How Does the Calculator Work?

The calculator uses the ideal gas density equation:

Where:

• \( \rho \) — Density (kg/m³)
• \( P \) — Pressure (Pascals)
• \( M \) — Molar mass (kg/mol)
• \( R \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Temperature (Kelvin)

Explanation: The equation shows that gas density increases with pressure and molar mass, but decreases with temperature.

3. Importance of Gas Density Calculation

Details: Gas density calculations are essential in chemical engineering, aerodynamics, meteorology, and industrial gas processing for designing systems and predicting gas behavior.

4. Using the Calculator

Tips: Enter pressure in Pascals, molar mass in kg/mol, and temperature in Kelvin. All values must be positive. For air, use molar mass ≈ 0.02896 kg/mol.

5. Frequently Asked Questions (FAQ)

Q1: What is an ideal gas?
A: An ideal gas is a theoretical gas where molecules have no volume and no intermolecular forces, perfectly obeying the ideal gas law.

Q2: When does this equation not apply?
A: At high pressures or low temperatures where real gas behavior deviates from ideal, or for polar gases with strong intermolecular forces.

Q3: How to convert molar mass from g/mol to kg/mol?
A: Divide by 1000 (e.g., 28.96 g/mol = 0.02896 kg/mol).

Q4: What's the density of air at STP?
A: Approximately 1.225 kg/m³ (at 101325 Pa and 288.15 K).

Q5: How does altitude affect air density?
A: Density decreases with altitude due to lower pressure, despite slightly lower temperatures.