1. Write the Balanced Chemical Equation:
The reaction between titanium chloride (TiCl₄) and oxygen (O₂) produces titanium dioxide (TiO₂) and chlorine gas (Cl₂). The balanced equation is:
TiCl₄ + O₂ → TiO₂ + 2Cl₂
2. Determine the Molar Masses:
* TiCl₄: 47.87 g/mol (Ti) + 4 * 35.45 g/mol (Cl) = 189.67 g/mol
* O₂: 2 * 16.00 g/mol = 32.00 g/mol
3. Calculate Moles of TiCl₄:
* Moles = mass / molar mass
* Moles of TiCl₄ = 4.6 g / 189.67 g/mol = 0.0243 mol
4. Use Mole Ratios from the Balanced Equation:
The balanced equation shows that 1 mole of TiCl₄ reacts with 1 mole of O₂.
5. Calculate Moles of O₂ Needed:
* Since the mole ratio is 1:1, we need 0.0243 moles of O₂.
6. Calculate Mass of O₂:
* Mass = moles * molar mass
* Mass of O₂ = 0.0243 mol * 32.00 g/mol = 0.778 g
Answer: You need 0.778 grams of oxygen to react with 4.6 grams of titanium chloride.