1. What is the Gas Density Formula?

Definition: This calculator determines gas density using the ideal gas law, which relates pressure, temperature, and molar mass to density.

Purpose: It's useful for engineers, chemists, and physicists working with gases under various conditions.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( \rho \) — Gas 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 formula shows that gas density increases with pressure and molar mass, but decreases with temperature.

3. Importance of Gas Density Calculation

Details: Knowing gas density is crucial for designing chemical processes, calculating buoyancy, and understanding gas behavior under different conditions.

4. Using the Calculator

Tips: Enter the pressure in Pascals, molar mass in kg/mol, and temperature in Kelvin. All values must be positive.

5. Frequently Asked Questions (FAQ)

Q1: What is the universal gas constant (R)?
A: R is 8.314 J/(mol·K), a fundamental physical constant that appears in the ideal gas law.

Q2: How do I convert molar mass from g/mol to kg/mol?
A: Divide by 1000 (e.g., 28.97 g/mol for air becomes 0.02897 kg/mol).

Q3: What temperature scale should I use?
A: The formula requires absolute temperature in Kelvin (K). To convert from Celsius: K = °C + 273.15.

Q4: When does the ideal gas law not apply?
A: At very high pressures or low temperatures where real gas behavior deviates from ideal.

Q5: How do I calculate pressure if I know the other values?
A: Rearrange the formula: \( P = \frac{\rho \times R \times T}{M} \).