Answer
🧪 Density of Carbon Monoxide (CO) Gas
Problem:
Calculate the density of CO gas under the following conditions:
- Temperature: −15 °C
- Pressure: 1.00 atm
- Assume: Ideal gas behavior
Step 1: Convert Temperature to Kelvin
T = −15.0 + 273.15 = 258.15 K
Step 2: Ideal Gas Law in Terms of Density
PV = nRT
n = m / M, ρ = m / V → ρ = PM / RT
n = m / M, ρ = m / V → ρ = PM / RT
Step 3: Insert Known Values
- P = 1.00 atm
- M = 28.01 g/mol
- R = 0.08206 L·atm/mol·K
- T = 258.15 K
Step 4: Calculate
ρ = (1.00 × 28.01) / (0.08206 × 258.15)
ρ ≈ 28.01 / 21.1814 ≈ 1.322 g/L
ρ ≈ 28.01 / 21.1814 ≈ 1.322 g/L
✅ Final Answer:
ρ ≈ 1.32 g/L (rounded to three significant digits)
Summary:
- Gas density increases with molar mass and pressure.
- Gas density decreases with temperature.
- This calculation assumes ideal gas behavior and uses the derived formula ρ = PM / RT.