What weight in grams is represented by 1.5 moles of sulphur dioxide ?

Options

A. 60 g
B. 74g
C. 96 g
D. 91 g

Answer

To find the weight in grams represented by 1.5 moles of sulfur dioxide (SO₂), we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Moles**:
A mole is a unit that measures the amount of a substance. One mole contains approximately \(6.022 \times 10^{23}\) particles (Avogadro's number).

2. **Identify the Molar Mass of Sulfur Dioxide**:
The molecular formula for sulfur dioxide is SO₂. To calculate its molar mass, we need to sum the atomic masses of its constituent elements:
- The atomic mass of sulfur (S) is approximately 32 grams/mole.
- The atomic mass of oxygen (O) is approximately 16 grams/mole. Since there are two oxygen atoms in sulfur dioxide, we multiply this by 2.

\[ \text{Molar mass of SO₂} = \text{Molar mass of S} + 2 \times \text{Molar mass of O} = 32 \, \text{g/mol} + 2 \times 16 \, \text{g/mol} = 32 \, \text{g/mol} + 32 \, \text{g/mol} = 64 \, \text{g/mol} \]

3. **Use the Formula to Calculate Weight**:
The weight of a substance can be calculated using the formula:
\[ \text{Weight} = \text{Number of moles} \times \text{Molar mass} \]
Here, we have 1.5 moles of sulfur dioxide, and we just calculated the molar mass to be 64 g/mol.

\[ \text{Weight} = 1.5 \, \text{moles} \times 64 \, \text{g/mol} = 96 \, \text{grams} \]

4. **Conclusion**:
Therefore, the weight represented by 1.5 moles of sulfur dioxide is 96 grams.

### Final Answer:
The weight in grams represented by 1.5 moles of sulfur dioxide is **96 grams**.

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