Final answer:
To find the number of moles of NH4SO4 in 17.492 grams, calculate the molar mass of NH4SO4, which is 132.17 g/mol, and then divide the given mass by this molar mass.
Step-by-step explanation:
To determine how many moles of NH4SO4 are in 17.492 grams, you need to use the molar mass of NH4SO4. First, calculate the molar mass by adding together the atomic masses of all the atoms in the compound. The formula for ammonium sulfate is (NH4)2SO4, which consists of 2 nitrogen atoms, 8 hydrogen atoms, 1 sulfur atom, and 4 oxygen atoms. Using the periodic table, the molar mass can be calculated as:
- 2 x 14.01 g/mol (Nitrogen) = 28.02 g/mol
- 8 x 1.01 g/mol (Hydrogen) = 8.08 g/mol
- 1 x 32.07 g/mol (Sulfur) = 32.07 g/mol
- 4 x 16.00 g/mol (Oxygen) = 64.00 g/mol
The total molar mass is 28.02 + 8.08 + 32.07 + 64.00 = 132.17 g/mol. Afterwards, use the following calculation to find the number of moles:
Number of moles = Mass in grams / Molar mass
Number of moles of NH4SO4 = 17.492 g / 132.17 g/mol
After performing the division, we get the answer.