Final answer:
To calculate the number of moles of ammonium nitrate in the bag of fertilizer, divide the mass of the substance by its molar mass.
Step-by-step explanation:
To calculate the number of moles of ammonium nitrate in the bag of fertilizer, we need to use the molar mass of ammonium nitrate (NH4NO3). The molar mass of NH4NO3 is calculated by adding the atomic masses of nitrogen (N), hydrogen (H), and oxygen (O) in one molecule of NH4NO3. According to the given information, 1 mole of NH4NO3 has a mass of 80.06 grams.
To find the number of moles in 14.52 kg of ammonium nitrate, we can use the formula:
Number of moles = Mass of substance (in grams) / Molar mass
Therefore, the number of moles of ammonium nitrate in the bag of fertilizer is:
Number of moles = 14.52 kg x (1000 g/kg) / 80.06 g/mol = 181.34 mol