Understanding the Concepts
* STP (Standard Temperature and Pressure): 0°C (273.15 K) and 1 atm pressure.
* Ideal Gas Law: PV = nRT, where:
* P = pressure
* V = volume
* n = number of moles
* R = ideal gas constant (0.0821 L·atm/mol·K)
* T = temperature
* Density: Density (ρ) is mass (m) per unit volume (V): ρ = m/V
Steps
1. Molar Mass of Neon: The molar mass of neon (Ne) is 20.18 g/mol.
2. Rearrange the Ideal Gas Law: We need to relate density to the ideal gas law. We can rearrange the ideal gas law to solve for density:
* n = m/M (where M is molar mass)
* Substituting this into the ideal gas law: PV = (m/M)RT
* Rearranging to solve for density (ρ = m/V): ρ = (PM)/(RT)
3. Plug in Values:
* P = 1 atm
* M = 20.18 g/mol
* R = 0.0821 L·atm/mol·K
* T = 273.15 K
4. Calculate:
* ρ = (1 atm * 20.18 g/mol) / (0.0821 L·atm/mol·K * 273.15 K)
* ρ ≈ 0.90 g/L
Therefore, the density of neon gas at STP is approximately 0.90 g/L.
