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Calculate the percentage by mass of magnesium in magnesium sulfate, MgSO4.Ar Mg = 24.31Ar S = 32.07Ar O = 16.00

Question

Calculate the percentage by mass of magnesium in magnesium sulfate, MgSO4.

  • Ar Mg = 24.31
  • Ar S = 32.07
  • Ar O = 16.00
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Solution

Sure, here's how you calculate the percentage by mass of magnesium in magnesium sulfate (MgSO4):

  1. First, calculate the molar mass of MgSO4. The molar mass is the sum of the atomic masses of all the atoms in a molecule.

    • The atomic mass of magnesium (Mg) is 24.31 g/mol.
    • The atomic mass of sulfur (S) is 32.07 g/mol.
    • The atomic mass of oxygen (O) is 16.00 g/mol, but since there are 4 oxygen atoms in MgSO4, the total mass contributed by oxygen is 4*16.00 = 64.00 g/mol.

    So, the molar mass of MgSO4 = 24.31 g/mol (Mg) + 32.07 g/mol (S) + 64.00 g/mol (O) = 120.38 g/mol.

  2. Next, calculate the percentage by mass of magnesium in MgSO4. The formula to calculate the percentage by mass is:

    (Mass of the element / Molar mass of the compound) * 100%

    So, the percentage by mass of magnesium in MgSO4 = (24.31 g/mol / 120.38 g/mol) * 100% = 20.19%.

Therefore, the percentage by mass of magnesium in magnesium sulfate is approximately 20.19%.

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