Final answer:
The mass of 3.66 moles of nitrogen can be found by multiplying the molar mass of nitrogen (28.01 g/mol) by the number of moles, which gives us a mass of 102.52 grams.
Step-by-step explanation:
To find the mass of 3.66 moles of nitrogen, we need to use the molar mass of nitrogen, which is the mass of one mole of nitrogen molecules (N₂). The molar mass of molecular nitrogen, N₂, is 28.01 g/mol. Using this value, we can calculate the mass by multiplying the number of moles by the molar mass of nitrogen.
The calculation is as follows:
Mass = number of moles × molar mass of nitrogen
Mass = 3.66 moles × 28.01 g/mol
Mass = 102.52 g
Therefore, 3.66 moles of nitrogen have a mass of 102.52 grams. This calculation demonstrates the application of the law of conservation of mass.