The number of atoms in 32 g of `SO_(2)` is approximately

Options

A. `9xx10^(23)`
B. `1.5xx10^(23)`
C. `2xx10^(23)`
D. `6xx10^(23)`

Answer

To find the number of atoms in 32 g of SO₂, we will follow these steps:

### Step 1: Determine the molar mass of SO₂
- The molar mass of sulfur (S) is approximately 32 g/mol.
- The molar mass of oxygen (O) is approximately 16 g/mol.
- Therefore, the molar mass of SO₂ = 32 g/mol (S) + 2 × 16 g/mol (O) = 32 g/mol + 32 g/mol = 64 g/mol.

### Step 2: Calculate the number of moles in 32 g of SO₂
- Using the formula:
\[ \text{Number of moles} = \frac{\text{mass}}{\text{molar mass}} \]
- For 32 g of SO₂:
\[ \text{Number of moles} = \frac{32 \text{ g}}{64 \text{ g/mol}} = 0.5 \text{ moles} \]

### Step 3: Calculate the number of molecules in 0.5 moles of SO₂
- Using Avogadro's number (approximately \(6.022 \times 10^{23}\) molecules/mol):
\[ \text{Number of molecules} = 0.5 \text{ moles} \times 6.022 \times 10^{23} \text{ molecules/mol} = 3.011 \times 10^{23} \text{ molecules} \]

### Step 4: Calculate the number of atoms in SO₂
- Each molecule of SO₂ contains 3 atoms (1 sulfur atom and 2 oxygen atoms).
- Therefore, the total number of atoms in 3.011 × 10²³ molecules is:
\[ \text{Number of atoms} = 3 \times 3.011 \times 10^{23} = 9.033 \times 10^{23} \text{ atoms} \]

### Conclusion
The number of atoms in 32 g of SO₂ is approximately \(9.033 \times 10^{23}\) atoms.

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