reaction product of chemical equation

Question

Consider the reaction: 2 Al + 3Br₂ → 2 AlBr₃

Suppose a reaction vessel initially contains 5.0 mole Al and 6.0 mole Br₂. What is in the reaction vessel once the reaction has occurred to the fullest extent possible?

Answer 1

Whenever you are given more than one reactants extent, you are faced with a limiting reactant problem:

1) Establish the limiting reactant: By stoichiometry you need 3 Br₂/2Al while you are given 6 Br₂/5Al.. You have a lower ratio than you need, so Br₂ is the LR.

2) Assume all the LR reacts and use stoichiometry to find Al reacted and AlBr₃ produced:

At the end, you will have 0 moles of Br₂

you will have 5 moles - 6moles Br₂(2 Al/3 Br₂) = 1 moles Al

you will have 0 + 6 moles Br₂(2 AlBr₃/3 Br₂) = 4 moles AlBr₃

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