What is the molar mass of (NH_4)_2SO_4?

• A. 118.09 g/mol
• B. 142.04 g/mol
• C. 96.07 g/mol
• D. 132.14 g/mol

Answer: (D)

Verified step by step guidance

1. Identify the chemical formula of the compound: (NH_4)_2SO_4, which is ammonium sulfate.
2. Determine the number of each type of atom in the formula: 2 ammonium ions (NH_4) each containing 1 nitrogen (N) and 4 hydrogens (H), plus 1 sulfate ion (SO_4) containing 1 sulfur (S) and 4 oxygens (O). So total atoms are: N = 2, H = 8, S = 1, O = 4.
3. Find the atomic masses of each element from the periodic table: N ≈ 14.01 g/mol, H ≈ 1.008 g/mol, S ≈ 32.07 g/mol, O ≈ 16.00 g/mol.
4. Calculate the total mass contributed by each element by multiplying the number of atoms by their atomic masses: For example, total N mass = 2 × 14.01 g/mol, total H mass = 8 × 1.008 g/mol, and so on.
5. Add all these individual masses together to get the molar mass of (NH_4)_2SO_4: Molar mass = (mass of N) + (mass of H) + (mass of S) + (mass of O).