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

Options

A. 60 g
B. 74 g
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 1: Identify the Molar Mass of Sulfur Dioxide
The molecular formula for sulfur dioxide is SO₂. To calculate the molar mass, we need to sum the atomic masses of sulfur (S) and oxygen (O):

- Atomic mass of sulfur (S) = 32 g/mol
- Atomic mass of oxygen (O) = 16 g/mol

Since there are two oxygen atoms in sulfur dioxide, the calculation for the molar mass is:

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

### Step 2: Use the Formula for Moles
The relationship between moles, mass, and molar mass is given by the formula:

\[ \text{moles} = \frac{\text{mass (g)}}{\text{molar mass (g/mol)}} \]

We can rearrange this formula to find the mass:

\[ \text{mass (g)} = \text{moles} \times \text{molar mass (g/mol)} \]

### Step 3: Substitute the Values
Now, we can substitute the values we have:

- Moles of SO₂ = 1.5 moles
- Molar mass of SO₂ = 64 g/mol

Using the rearranged formula:

\[ \text{mass (g)} = 1.5 \, \text{moles} \times 64 \, \text{g/mol} \]

### Step 4: Perform the Calculation
Now, we perform the multiplication:

\[ \text{mass (g)} = 1.5 \times 64 = 96 \, \text{g} \]

### Conclusion
The weight represented by 1.5 moles of sulfur dioxide is **96 grams**.

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