Here's how we can approach this problem once we have the balanced equation:
1. Balanced Chemical Equation:
The balanced chemical equation for the reaction is:
5C + 2SO₂ → CS₂ + 4CO
2. Mole Ratio:
The balanced equation tells us that 5 moles of carbon (C) react with 2 moles of sulfur dioxide (SO₂) to produce 1 mole of carbon disulfide (CS₂). This is the mole ratio.
3. Calculation:
* You have 5.9 moles of carbon (C).
* Use the mole ratio from the balanced equation to find the moles of CS₂ produced:
(5.9 moles C) * (1 mole CS₂ / 5 moles C) = 1.18 moles CS₂
Therefore, 1.18 moles of CS₂ are produced when 5.9 moles of carbon react.