Final answer:
To find how many grams of nitrogen are in 89.0 g of NH4NO3, one must calculate the moles of NH4NO3 and then use the proportion of nitrogen's mass in the molecule, which results in 31.14 grams of nitrogen.
Step-by-step explanation:
To calculate the number of grams of nitrogen (N) in 89.0 g of NH4NO3, we need to understand the composition of the molecule and the molecular mass of the components. Ammonium nitrate (NH4NO3) consists of two nitrogen atoms, which we can calculate as a fraction of the overall molar mass. The molar mass of NH4NO3 is 80.06 g/mol. Nitrogen's molar mass (N) is 14.01 g/mol, and since we have two N atoms in NH4NO3, we get 28.02 g/mol from nitrogen.
To find the amount of nitrogen in the sample, we perform the following calculation:
- Calculate the moles of NH4NO3 in 89.0 g: (89.0 g) / (80.06 g/mol) = 1.111 moles of NH4NO3.
- Calculate the mass of N from the moles of NH4NO3: (1.111 moles) × (28.02 g/mol) = 31.14 g of N.
Therefore, there are 31.14 grams of nitrogen in 89.0 grams of NH4NO3.