When the fuel burns, the 600g of sulfur produces sulfur dioxide gas. S O2 → SO2 Calculate the volume, in cm3, of sulfur dioxide gas that would be produced at room temperature and pressure (rtp) when the fuel burns. [for a gas, molar volume = 24dm3 at rtp

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Answer:

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Explanation:

Here's how to calculate the volume of sulfur dioxide gas produced:

1. **Balanced Chemical Equation:** The provided equation (S O2 → SO2) is already balanced, which is good. This means for every 1 mole of sulfur (S), 1 mole of sulfur dioxide (SO2) is produced.

2. **Moles of Sulfur:**

  * We are given the mass of sulfur (m) as 600g.

  * We need to convert this mass to moles (n) using the molar mass (M) of sulfur.

  * M (sulfur) = 32.06 g/mol (you can find this in a periodic table).

 * n (sulfur) = m (sulfur) / M (sulfur)

 * n (sulfur) = 600g / 32.06 g/mol

 * n (sulfur) ≈ 18.72 mol (rounded to two decimal places)

3. **Moles of Sulfur Dioxide:**

  * Since the chemical equation tells us a 1:1 ratio between sulfur and sulfur dioxide, the number of moles of sulfur dioxide produced is equal to the moles of sulfur reacted.

  * n (sulfur dioxide) = n (sulfur) = 18.72 mol

4. **Volume of Sulfur Dioxide:**

  * We are given that the molar volume of a gas at room temperature and pressure (rtp) is 24 dm³/mol.

  * We can use this to convert moles of sulfur dioxide to volume.

 * Volume (SO2) = n (SO2) * Molar volume (gas at rtp)

 * Volume (SO2) = 18.72 mol * 24 dm³/mol (convert dm³ to cm³ by multiplying by 1000)

 * Volume (SO2) ≈ 44928 cm³ (rounded to the nearest whole number)

Therefore, burning 600g of sulfur would produce approximately 44,928 cm³ of sulfur dioxide gas at room temperature and pressure.