How many moles in a bottle of sulfur hexafluoride?

Calculation Explanation

To determine the number of moles in a bottle of sulfur hexafluoride, we first calculate the mass of the gas using the density and volume. The formula for mass is mass = density x volume. By multiplying the density of sulfur hexafluoride (6.17 g/L) by the volume of the bottle (20.00 L), we get a mass of 123.4 grams.

Molar Mass of Sulfur Hexafluoride

The molar mass of sulfur hexafluoride (SF6) is 138 g/mol.

Calculating the Number of Moles

Once we have determined the mass of the sulfur hexafluoride and the molar mass of the compound, we can use the formula moles = mass / molar mass to find the number of moles. Plugging in the values, we get:

moles = 123.4 g / 138 g/mol = 0.89 mol

Therefore, a bottle of sulfur hexafluoride with a volume of 20.00 L and a density of 6.17 g/L contains approximately 0.89 moles of the compound.