1. Molar Mass of Nitrogen Gas
* Nitrogen gas exists as a diatomic molecule (N₂).
* The atomic mass of nitrogen (N) is 14.01 g/mol.
* The molar mass of nitrogen gas (N₂) is 2 * 14.01 g/mol = 28.02 g/mol.
2. Avogadro's Number
* Avogadro's number is 6.022 x 10^23 molecules/mol. This represents the number of molecules in one mole of any substance.
3. Calculations
* Step 1: Convert molecules to moles using Avogadro's number:
(2.50 x 10^4 molecules) / (6.022 x 10^23 molecules/mol) = 4.15 x 10^-20 mol
* Step 2: Convert moles to grams using the molar mass:
(4.15 x 10^-20 mol) * (28.02 g/mol) = 1.16 x 10^-18 g
Therefore, the mass of 2.50 x 10^4 molecules of nitrogen gas is 1.16 x 10^-18 grams.
