Answer
Density of Carbon Monoxide Gas
🌡️ Problem Statement
Calculate the density of carbon monoxide (CO) gas at:
- Temperature: 35 °C
- Pressure: 1.00 atm
Assume ideal gas behavior and express the answer in g/L (grams per liter), to three significant digits.
📘 Key Concepts and Formula
The ideal gas law is given by:
PV = nRT
We rearrange it using the definition of density and molar mass:
d = PM / RT
🔢 Given Data
| Quantity | Symbol | Value |
|---|---|---|
| Pressure | P | 1.00 atm |
| Temperature | T | 35 °C = 308 K |
| Molar mass of CO | M | 28.0 g/mol |
| Gas constant | R | 0.08206 L·atm/mol·K |
🧮 Calculation
Using the formula:
d = (1.00 × 28.0) / (0.08206 × 308)
Compute denominator:
RT = 0.08206 × 308 = 25.27448
Now compute density:
d = 28.0 / 25.27448 ≈ 1.1079 g/L
✅ Final Answer
Density = 1.11 g/L (rounded to three significant digits)
🧠 Conclusion
The density of carbon monoxide gas at 35 °C and 1.00 atm is 1.11 g/L. This result is obtained using the ideal gas law and is valid under typical temperature and pressure conditions.