Final answer:
To find the moles of nitrogen in 0.211 g of N₂O, one calculates the moles of N₂O based on its molar mass (44 g/mol) and then multiplies by 2, since there are two nitrogen atoms per N₂O molecule, resulting in 0.00960 moles of nitrogen atoms.
Step-by-step explanation:
Calculating Moles of Nitrogen in N₂O
To calculate the number of moles of nitrogen in a given mass of N₂O, we must first find the molar mass of N₂O. The molar mass is the sum of the molar masses of its component atoms. Since nitrogen (N) has a molar mass of 14 g/mol and oxygen (O) has a molar mass of 16 g/mol, one mole of N₂O (which contains two atoms of nitrogen and one atom of oxygen) will have a molar mass of (2×14) + 16 = 44 g/mol.
To find the number of moles in 0.211 g of N₂O, we use the formula moles = mass / molar mass. Thus, the calculation is 0.211 g N₂O / 44 g/mol = 0.00480 mol of N₂O. However, since N₂O contains two nitrogen atoms per molecule, we must multiply the moles of N₂O by 2 to find the moles of nitrogen atoms: 0.00480 mol N₂O × 2 = 0.00960 mol of nitrogen atoms. In summary, 0.211 g of N₂O contains 0.00960 moles of nitrogen atoms.