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 = 24.31Ar S = 32.07Ar O = 16.00
Solution 1
Sure, here's how you calculate the percentage by mass of magnesium in magnesium sulfate (MgSO4):
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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.
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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%.
Solution 2
Sure, here's how you can calculate the percentage by mass of magnesium in magnesium sulfate (MgSO4):
Step 1: Calculate the molar mass of MgSO4 The molar mass of MgSO4 is calculated by adding the atomic masses of its constituent elements.
Molar mass of MgSO4 = Atomic mass of Mg + Atomic mass of S + 4*(Atomic mass of O) = 24.31 g/mol + 32.07 g/mol + 4*(16.00 g/mol) = 24.31 g/mol + 32.07 g/mol + 64.00 g/mol = 120.38 g/mol
Step 2: Calculate the percentage by mass of Mg in MgSO4 The percentage by mass of Mg in MgSO4 is calculated by dividing the atomic mass of Mg by the molar mass of MgSO4 and then multiplying the result by 100%.
Percentage by mass of Mg in MgSO4 = (Atomic mass of Mg / Molar mass of MgSO4) * 100% = (24.31 g/mol / 120.38 g/mol) * 100% = 20.19%
So, the percentage by mass of magnesium in magnesium sulfate is approximately 20.19%.
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