1. Write the balanced chemical equation:
CS₂(l) + 3O₂(g) → CO₂(g) + 2SO₂(g)
2. Determine the mole ratio:
The balanced equation shows that 1 mole of CS₂ produces 2 moles of SO₂.
3. Calculate the moles of SO₂ produced:
Since we have 2 moles of CS₂, we can use the mole ratio to find the moles of SO₂:
2 moles CS₂ * (2 moles SO₂ / 1 mole CS₂) = 4 moles SO₂
4. Assume STP (Standard Temperature and Pressure) to calculate volume:
At STP (0°C and 1 atm), 1 mole of any ideal gas occupies 22.4 L.
5. Calculate the volume of SO₂:
4 moles SO₂ * (22.4 L/mole) = 89.6 L of SO₂
Therefore, 89.6 liters of sulfur dioxide gas (SO₂) are formed when 2 moles of carbon disulfide (CS₂) are burned.