What is the Particle Density of Oxygen?

The provided context refers to the density of oxygen as 1.429 kg/m³ at 20°C. However, it asks about particle density, which is different. Particle density isn't directly listed, but it can be inferred from the information given and fundamental constants. Particle density typically refers to the number of particles (atoms or molecules) per unit volume.

Here's how to estimate the particle density of oxygen gas (O₂) at 20°C:

1. Use the Ideal Gas Law: A good approximation for gases at standard conditions is the Ideal Gas Law: PV = nRT, where:

   • P = Pressure (typically 1 atm or 101325 Pa)
   • V = Volume
   • n = Number of moles
   • R = Ideal gas constant (8.314 J/(mol·K))
   • T = Temperature (20°C = 293.15 K)

2. Solve for n/V (molar density): n/V = P/(RT) = 101325 Pa / (8.314 J/(mol·K) * 293.15 K) ≈ 41.6 mol/m³

3. Convert moles to molecules: Multiply the molar density by Avogadro's number (6.022 x 10²³ molecules/mol) to get the particle density: 41.6 mol/m³ * 6.022 x 10²³ molecules/mol ≈ 2.50 x 10²⁵ molecules/m³

Therefore, the estimated particle density of oxygen gas at 20°C is approximately 2.50 x 10²⁵ molecules per cubic meter.

It's important to note: This calculation assumes ideal gas behavior. Real gases deviate from this, especially at high pressures or low temperatures. This value is an estimation.