Answer:
0.94 L
Explanation:
Step 1: Write the balanced reaction
2 Al + 3 Br₂ = 2 AlBr₃
Step 2: Calculate the moles of Br₂ required to produce 12 moles of AlBr₃
The molar ratio of Br₂ to AlBr₃ is 3:2. Then,
[tex]12molAlBr_3 \times \frac{3molBr_2}{2molAlBr_3} =18molBr_2[/tex]
Step 3: Calculate the mass of bromine corresponding to 18 moles
The molar mass of bromine is 159.81 g/mol. Then,
[tex]18mol \times \frac{159.81g}{mol} =2.9 \times 10^{3} g[/tex]
Step 4: Calculate the volume of bromine corresponding to 2.9 × 10³ g
The density of bromine is 3.1 g/mL. The volume of bromine is:
[tex]2.9 \times 10^{3} g \times \frac{1mL}{3.1g} \times \frac{1L}{1000mL} = 0.94 L[/tex]