Calculate the molar mass of ammonium sulfate – (NHâ‚„)â‚‚SOâ‚„

/ Exams & Certification / By

Calculate the molar mass of ammonium sulfate – (NHâ‚„)â‚‚SOâ‚„

The Correct Answer and Explanation is:

To calculate the molar mass of ammonium sulfate, (NH4)2SO4(NH₄)_2SO₄(NH4​)2​SO4​, we need to sum the atomic masses of all the atoms in the formula.

Step-by-step calculation:

  1. Ammonium ion (NH4)+(NH₄)^+(NH4​)+:
    • The ammonium ion consists of one nitrogen atom and four hydrogen atoms.
    • Atomic mass of nitrogen (N) = 14.01 g/mol
    • Atomic mass of hydrogen (H) = 1.008 g/mol
    For (NH4)+(NH₄)^+(NH4​)+:
    • Nitrogen: 1 × 14.01 = 14.01 g/mol
    • Hydrogen: 4 × 1.008 = 4.032 g/mol
    The molar mass of (NH4)+(NH₄)^+(NH4​)+ is: 14.01 g/mol+4.032 g/mol=18.042 g/mol14.01 \, \text{g/mol} + 4.032 \, \text{g/mol} = 18.042 \, \text{g/mol}14.01g/mol+4.032g/mol=18.042g/mol
  2. Sulfate ion SO42−SO₄^{2-}SO42−​:
    • The sulfate ion consists of one sulfur atom and four oxygen atoms.
    • Atomic mass of sulfur (S) = 32.07 g/mol
    • Atomic mass of oxygen (O) = 16.00 g/mol
    For SO42−SO₄^{2-}SO42−​:
    • Sulfur: 1 × 32.07 = 32.07 g/mol
    • Oxygen: 4 × 16.00 = 64.00 g/mol
    The molar mass of SO42−SO₄^{2-}SO42−​ is: 32.07 g/mol+64.00 g/mol=96.07 g/mol32.07 \, \text{g/mol} + 64.00 \, \text{g/mol} = 96.07 \, \text{g/mol}32.07g/mol+64.00g/mol=96.07g/mol
  3. Molar mass of ammonium sulfate (NH4)2SO4(NH₄)_2SO₄(NH4​)2​SO4​:
    • The formula (NH4)2SO4(NH₄)_2SO₄(NH4​)2​SO4​ indicates that there are 2 ammonium ions and 1 sulfate ion.
    • Molar mass of 2 ammonium ions: 2×18.042=36.084 g/mol2 × 18.042 = 36.084 \, \text{g/mol}2×18.042=36.084g/mol
    • Molar mass of 1 sulfate ion: 96.07 g/mol96.07 \, \text{g/mol}96.07g/mol
    So, the total molar mass is: 36.084 g/mol+96.07 g/mol=132.154 g/mol36.084 \, \text{g/mol} + 96.07 \, \text{g/mol} = 132.154 \, \text{g/mol}36.084g/mol+96.07g/mol=132.154g/mol

Final Answer:

The molar mass of ammonium sulfate (NH4)2SO4(NH₄)_2SO₄(NH4​)2​SO4​ is 132.154 g/mol.

Explanation:

  • Molar mass is calculated by summing the masses of each atom in the compound.
  • The periodic table provides the atomic masses, which we multiply by the number of atoms in the formula.
  • This gives the total molar mass of the compound, which is essential for understanding stoichiometry in chemical reactions, such as when calculating how much ammonium sulfate is required for a reaction.

Related Posts

Scroll to Top