1. Balanced Chemical Equation:
The reaction for burning sulfur in air is:
S + O₂ → SO₂
2. Molar Masses:
* Sulfur (S): 32.06 g/mol
* Sulfur dioxide (SO₂): 64.06 g/mol
3. Stoichiometry:
From the balanced equation, 1 mole of sulfur (S) reacts to produce 1 mole of sulfur dioxide (SO₂).
4. Calculations:
* Convert kg of sulfur to grams: 64 kg * 1000 g/kg = 64,000 g
* Calculate moles of sulfur: 64,000 g / 32.06 g/mol = 1996.3 mol
* Calculate moles of sulfur dioxide: Since the mole ratio is 1:1, you will produce 1996.3 mol of SO₂.
* Calculate mass of sulfur dioxide: 1996.3 mol * 64.06 g/mol = 127,840 g
* Convert grams of sulfur dioxide to kilograms: 127,840 g / 1000 g/kg = 127.84 kg
Answer: You can produce 127.84 kg of sulfur dioxide from 64 kg of sulfur.
