1. Write the Balanced Chemical Equation:

The reaction between titanium (Ti) and bromine (Br₂) produces titanium(IV) bromide (TiBr₄):

Ti + 2 Br₂ → TiBr₄

2. Calculate the Molar Masses:

* Ti: 47.87 g/mol

* Br₂: 159.80 g/mol

3. Calculate the Moles of Titanium:

moles of Ti = mass of Ti / molar mass of Ti

moles of Ti = 22.1 g / 47.87 g/mol

moles of Ti = 0.462 mol

4. Use the Mole Ratio from the Balanced Equation:

The balanced equation shows that 1 mole of Ti reacts with 2 moles of Br₂.

5. Calculate the Moles of Bromine:

moles of Br₂ = 0.462 mol Ti * (2 mol Br₂ / 1 mol Ti)

moles of Br₂ = 0.924 mol

6. Calculate the Mass of Bromine:

mass of Br₂ = moles of Br₂ * molar mass of Br₂

mass of Br₂ = 0.924 mol * 159.80 g/mol

mass of Br₂ = 147.7 g

Answer: You would need 147.7 grams of bromine to completely react with 22.1 grams of titanium.