Stoichiometry - Engineering

Q1:

Density of carbon dioxide is __________ kg/Nm3.

A 44/22400

B 44/22.4

C 22.4/44

D none of these

ANS:B - 44/22.4

To calculate the density of a substance, we use the formula: Density=MassVolumeDensity=VolumeMass​ For gases, density is often expressed in units of kilograms per cubic meter (kg/m³). Given:

  • Molar mass of carbon dioxide (CO2) = 44 g/mol
  • Molar volume of an ideal gas at standard temperature and pressure (STP) = 22.4 L/mol = 22.4×10−322.4×10−3 m³/mol
We can use these values to calculate the density of carbon dioxide: Density=Molar massMolar volume at STPDensity=Molar volume at STPMolar mass​ Density=44 g/mol22.4 L/molDensity=22.4L/mol44g/mol​ Density=4422.4 g/LDensity=22.444​g/L To convert grams per liter (g/L) to kilograms per cubic meter (kg/m³), we need to divide by 1000 (since 1 kg = 1000 g) and multiply by 1000 (since 1 L = 10−310−3 m³): Density=4422.4×11000×1000 kg/m3Density=22.444​×10001​×1000kg/m3 Density=4422.4 kg/m3Density=22.444​kg/m3 Density≈1.964 kg/m3Density≈1.964kg/m3 Therefore, none of the provided options matches the calculated density of carbon dioxide. The correct density of carbon dioxide is approximately 1.964 kg/m³.