Physics

Ideal Gas Density Calculator

Find the density of an ideal gas from pressure, temperature and molar mass.

Parameters Live Compute
Calculated Output
Density (kg/m³) 1.226
Formula: ρ = P·M ÷ (R·T)
Step-by-Step Breakdown
1. Values used:
2. Pressure = 101,325 Pa
3. Molar mass = 28.97 g/mol
4. Temperature = 288 K
5.
6. Density = 1.226kg/m³
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An ideal gas's density follows directly from the ideal gas law.

The math behind it

ρ = P·M ÷ (R·T), where M is the molar mass in kg/mol.

Worked Example

Air (M 28.97) at 101325 Pa, 288 K → about 1.225 kg/m³.

Frequently Asked Questions

Why does warm air rise?

Higher temperature lowers density, so warm air is buoyant.

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