Calculate to three significant digits the density of carbon monoxide gas at exactly – 10 ” C and exactly I atm. You can assume carbon monoxide gas
Answer
🧪 Density of Carbon Monoxide (CO) Gas
Problem:
Calculate the density of carbon monoxide gas at the following conditions:
- Temperature: −10 °C
- Pressure: 1.00 atm
- Molar Mass (CO): 28.0 g/mol
Step 1: Convert Temperature to Kelvin
T = −10 + 273 = 263 K
Step 2: Use the Ideal Gas Law in Terms of Density
Starting from:
PV = nRT
We substitute n = m / M and rearrange for density ρ = m / V:
ρ = (PM) / (RT)
Step 3: Substitute Known Values
ρ = (1.00 × 28.0) / (0.0821 × 263)
ρ ≈ 28.0 / 21.6023 ≈ 1.30 g/L
ρ ≈ 28.0 / 21.6023 ≈ 1.30 g/L
✅ Final Answer:
ρ ≈ 1.30 g/L
Conceptual Insight:
- Density increases with pressure and molar mass.
- Density decreases with rising temperature.
- This result is derived using the ideal gas law and assumes ideal behavior of the gas.