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Calculate the percentage by mass of sulfur in sulfur trioxide (SO₃). - Leaving Cert Chemistry - Question (i) - 2014

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Calculate the percentage by mass of sulfur in sulfur trioxide (SO₃).

Worked Solution & Example Answer:Calculate the percentage by mass of sulfur in sulfur trioxide (SO₃). - Leaving Cert Chemistry - Question (i) - 2014

Step 1

Calculate the Relative Molecular Mass

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Answer

To determine the percentage by mass of sulfur in sulfur trioxide (SO₃), we first need to find its relative molecular mass. The formula for sulfur trioxide contains 1 sulfur atom and 3 oxygen atoms. The atomic masses are approximately:

  • Sulfur (S): 32 g/mol
  • Oxygen (O): 16 g/mol

Thus, the relative molecular mass (Molar Mass) can be calculated as:

extRelativeMolecularMass=1imes32+3imes16=32+48=80extg/mol ext{Relative Molecular Mass} = 1 imes 32 + 3 imes 16 = 32 + 48 = 80 ext{ g/mol}

Step 2

Calculate the Percentage by Mass of Sulfur

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Answer

Using the relative molecular mass, we can now calculate the percentage by mass of sulfur in SO₃. The formula for percentage by mass is:

ext{Percentage by Mass of Sulfur} = rac{ ext{mass of sulfur}}{ ext{total molar mass}} imes 100

Substituting the values:

ext{Percentage by Mass of Sulfur} = rac{32}{80} imes 100 = 40\%

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