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Multiple Choice
What is the percent composition by mass of sulfur in the sulfate ion (SO_4^{2-})?
A
32.07%
B
53.47%
C
40.00%
D
20.00%
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Verified step by step guidance
1
Identify the elements present in the sulfate ion \(\mathrm{SO_4^{2-}}\) and their quantities: 1 sulfur (S) atom and 4 oxygen (O) atoms.
Find the atomic masses of sulfur and oxygen from the periodic table: approximately 32.07 g/mol for sulfur and 16.00 g/mol for oxygen.
Calculate the molar mass of the sulfate ion by summing the masses of all atoms: \(M_{\mathrm{SO_4^{2-}}} = (1 \times 32.07) + (4 \times 16.00)\) g/mol.
Determine the percent composition by mass of sulfur using the formula: \(\% \mathrm{S} = \left( \frac{\text{mass of sulfur}}{\text{molar mass of sulfate ion}} \right) \times 100\).
Substitute the values into the formula and simplify to find the percent composition of sulfur in the sulfate ion.