Determine the mass percent of each element in aluminum sulfate.

Short Answer

Expert verified
The mass percent of each element in aluminum sulfate (Al₂(SO₄)₃) is: Aluminum (Al): 15.77%, Sulfur (S): 28.10%, and Oxygen (O): 56.13%.

Step by step solution

01

Find the chemical formula of aluminum sulfate

The chemical formula of aluminum sulfate is Al₂(SO₄)₃.
02

Calculate the molar mass of aluminum sulfate

To do this, first find the atomic masses of each element present in the formula, and then multiply their atomic masses by the number of atoms. Add these values together for the total molar mass. - Aluminum (Al): 26.98 g/mol - Sulfur (S): 32.06 g/mol - Oxygen (O): 16.00 g/mol Molar mass of aluminum sulfate: = 2 * 26.98 (Al) + 3 * (4 * 16.00 (O) + 32.06 (S)) = 2 * 26.98 + 3 * (64 + 32.06) = 53.96 + 3 * 96.06 = 53.96 + 288.18 = 342.14 g/mol
03

Calculate the mass percent of each element

Now, divide the mass of each element in one mole of aluminum sulfate by the molar mass of aluminum sulfate and multiply by 100%. 1. Mass percent of aluminum (Al): = (53.96 g/mol (Al) / 342.14 g/mol (Al₂(SO₄)₃)) * 100% = (0.1577) * 100% = 15.77% 2. Mass percent of sulfur (S): = (3 * 32.06 g/mol (S) / 342.14 g/mol (Al₂(SO₄)₃)) * 100% = (96.18 g/mol (S) / 342.14 g/mol) * 100% = (0.2810) * 100% = 28.10% 3. Mass percent of oxygen (O): = (12 * 16.00 g/mol (O) / 342.14 g/mol (Al₂(SO₄)₃)) * 100% = (192.00 g/mol (O) / 342.14 g/mol) * 100% = (0.5613) * 100% = 56.13%
04

Final Answer

The mass percent of each element in aluminum sulfate is: - Aluminum (Al): 15.77% - Sulfur (S): 28.10% - Oxygen (O): 56.13%.

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