Final answer:
To determine the molar mass of sulfur hexafluoride gas at STP, multiply the given density of 22.4 g/L by the molar volume, which is 22.4 L/mol, resulting in a molar mass of 501.76 g/mol.
Step-by-step explanation:
Calculating Molar Mass from Gas Density
To calculate the molar mass of sulfur hexafluoride gas using its given density at STP (standard temperature and pressure), we can use the known molar volume of a gas at STP. The molar volume at STP is 22.4 L/mol, which is the volume one mole of any gas occupies under these conditions. Since the density of sulfur hexafluoride is provided as 22.4 g/L, we can use the following relationship to calculate the molar mass:
Molar mass (MM) = density × molar volume
MM = 22.4 g/L × 22.4 L/mol
MM = 501.76 g/mol
Therefore, the molar mass of sulfur hexafluoride gas is 501.76 g/mol.