Wheeler Hampton
11/07/2023 · High School
How many grams of sodium, Na , would contain the same number of atoms as 32.066 g of sulfur, S ?
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To find out how many grams of sodium (Na) would contain the same number of atoms as 32.066 g of sulfur (S), we can follow these steps:
1. **Calculate the number of moles of sulfur (S)**:
The molar mass of sulfur (S) is approximately 32.066 g/mol.
\[
\text{Moles of S} = \frac{\text{mass of S}}{\text{molar mass of S}} = \frac{32.066 \, \text{g}}{32.066 \, \text{g/mol}} = 1 \, \text{mol}
\]
2. **Determine the number of atoms in the moles of sulfur**:
Using Avogadro's number, which is approximately \(6.022 \times 10^{23}\) atoms/mol, we can find the number of atoms in 1 mole of sulfur.
\[
\text{Number of atoms of S} = 1 \, \text{mol} \times 6.022 \times 10^{23} \, \text{atoms/mol} = 6.022 \times 10^{23} \, \text{atoms}
\]
3. **Calculate the number of moles of sodium (Na) that would contain the same number of atoms**:
Since we want the same number of atoms, we need 1 mole of sodium as well, because 1 mole of any substance contains \(6.022 \times 10^{23}\) atoms.
\[
\text{Moles of Na} = 1 \, \text{mol}
\]
4. **Calculate the mass of sodium (Na)**:
The molar mass of sodium (Na) is approximately 22.99 g/mol.
\[
\text{Mass of Na} = \text{moles of Na} \times \text{molar mass of Na} = 1 \, \text{mol} \times 22.99 \, \text{g/mol} = 22.99 \, \text{g}
\]
Therefore, the mass of sodium that would contain the same number of atoms as 32.066 g of sulfur is approximately **22.99 grams**.
Quick Answer
The mass of sodium that contains the same number of atoms as 32.066 g of sulfur is 22.99 grams.
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