How many oxygen atoms are present in 3.20 g of Al2(SO4)3? Express your answer in scientific notation like this: 6.02*10^23

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**Question:**
How many oxygen atoms are present in 3.20 g of Al₂(SO₄)₃? Express your answer in scientific notation like this: 6.02*10^23.

**Solution:**

To find the number of oxygen atoms in 3.20 grams of Al₂(SO₄)₃ (aluminum sulfate), follow these steps:

1. **Calculate the molar mass of Al₂(SO₄)₃:**
   - Atomic mass of Aluminum (Al): approximately 27.0 g/mol
   - Atomic mass of Sulfur (S): approximately 32.1 g/mol
   - Atomic mass of Oxygen (O): approximately 16.0 g/mol

   Therefore, the molar mass of Al₂(SO₄)₃ is:
   \[
   2(27.0) + 3[(32.1) + 4(16.0)] = 2(27.0) + 3(32.1 + 64.0) = 54.0 + 3(96.1) = 54.0 + 288.3 = 342.3 \text{ g/mol}
   \]

2. **Convert grams to moles:**
   \[
   \text{Moles of } \text{Al₂(SO₄)₃} = \frac{3.20 \text{ g}}{342.3 \text{ g/mol}} = 0.00935 \text{ moles}
   \]

3. **Calculate the number of oxygen atoms in one mole of Al₂(SO₄)₃:**
   - There are 4 oxygen atoms per sulfate ion (SO₄), and there are 3 sulfate ions in each formula unit of Al₂(SO₄)₃.
   - Total oxygen atoms: \( 4 \times 3 = 12 \)

   Therefore, in 0.00935 moles of Al₂(SO₄)₃:
   \[
   0.00935 \text{ moles} \times 12 \text{ oxygen atoms per mole} = 0.1122 \text{ moles of oxygen atoms}
   \]

4. **Convert moles of oxygen atoms to number of atoms:**
   Using Avogadro’s number \(6.
Transcribed Image Text:**Question:** How many oxygen atoms are present in 3.20 g of Al₂(SO₄)₃? Express your answer in scientific notation like this: 6.02*10^23. **Solution:** To find the number of oxygen atoms in 3.20 grams of Al₂(SO₄)₃ (aluminum sulfate), follow these steps: 1. **Calculate the molar mass of Al₂(SO₄)₃:** - Atomic mass of Aluminum (Al): approximately 27.0 g/mol - Atomic mass of Sulfur (S): approximately 32.1 g/mol - Atomic mass of Oxygen (O): approximately 16.0 g/mol Therefore, the molar mass of Al₂(SO₄)₃ is: \[ 2(27.0) + 3[(32.1) + 4(16.0)] = 2(27.0) + 3(32.1 + 64.0) = 54.0 + 3(96.1) = 54.0 + 288.3 = 342.3 \text{ g/mol} \] 2. **Convert grams to moles:** \[ \text{Moles of } \text{Al₂(SO₄)₃} = \frac{3.20 \text{ g}}{342.3 \text{ g/mol}} = 0.00935 \text{ moles} \] 3. **Calculate the number of oxygen atoms in one mole of Al₂(SO₄)₃:** - There are 4 oxygen atoms per sulfate ion (SO₄), and there are 3 sulfate ions in each formula unit of Al₂(SO₄)₃. - Total oxygen atoms: \( 4 \times 3 = 12 \) Therefore, in 0.00935 moles of Al₂(SO₄)₃: \[ 0.00935 \text{ moles} \times 12 \text{ oxygen atoms per mole} = 0.1122 \text{ moles of oxygen atoms} \] 4. **Convert moles of oxygen atoms to number of atoms:** Using Avogadro’s number \(6.
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