Final answer:
To form 1.16 mol of aluminum bromide, approximately 277.7 g of bromine is needed.
Step-by-step explanation:
To calculate the mass of bromine needed to form 1.16 mol of aluminum bromide (Al₂Br₆), we need to use the balanced equation for the reaction:
2 Al (s) + 3 Br₂ (g) → Al₂Br₆ (s)
From the equation, we can see that 2 moles of aluminum bromide are formed for every 3 moles of bromine. Therefore, to form 1.16 mol of aluminum bromide, we need:
- (1.16 mol Al₂Br₆) × (3 mol Br₂ / 2 mol Al₂Br₆) = 1.74 mol Br2
To convert moles of bromine to grams, we can multiply the number of moles by the molar mass of bromine:
- (1.74 mol Br₂) × (159.808g / mol Br₂) = 277.7g
The mass of bromine needed to form 1.16 mol of aluminum bromide is approximately 277.7 g.