4 AlBr3 + 3 O2 → 2 Al2O3 + 6 Br2

a. Double Replacement
b. Single Replacement
c. Decomposition
d. Combustion
e. Synthesis

a. Double Replacement

The given reaction:

4 AlBr3 + 3 O2 → 2 Al2O3 + 6 Br2

In this reaction, AlBr3 and O2 are reacting to form Al2O3 and Br2.

AlBr3 is a compound composed of aluminum (Al) and bromine (Br), while O2 is a diatomic molecule of oxygen. Al2O3 is a compound composed of aluminum (Al) and oxygen (O), and Br2 is a diatomic molecule of bromine (Br).

Now, let's analyze the type of reaction:

a. Double Replacement: A double replacement reaction occurs when two compounds exchange positive ions. This reaction involves the exchange of atoms between the reactants. In this case, we do not see any exchange of positive ions or atoms between two compounds. So, this is not a double replacement reaction.

b. Single Replacement: A single replacement reaction occurs when one element replaces another element in a compound. In this case, we do not have any single replacement taking place.

c. Decomposition: A decomposition reaction occurs when a compound breaks down into simpler substances, usually due to heating or the addition of electricity. In this case, we do not see any compound breaking down into simpler substances. So, this is not a decomposition reaction.

d. Combustion: A combustion reaction is a reaction between a fuel and an oxidant (usually oxygen) that produces heat and usually forms water and carbon dioxide as products. In this case, we have oxygen (O2) acting as an oxidant, but we do not have any fuel present. So, this is not a combustion reaction.

e. Synthesis: A synthesis reaction is a reaction where two or more substances combine to form a more complex substance. In this case, we see that aluminum bromide (AlBr3) and oxygen (O2) combine to form aluminum oxide (Al2O3). Since this reaction involves the combination of two substances to form a more complex substance, this reaction is a synthesis reaction.

Therefore, the correct answer is e. Synthesis

To determine the type of chemical reaction for the given equation:

4 AlBr3 + 3 O2 → 2 Al2O3 + 6 Br2

We need to understand the different types of chemical reactions:

1. Double Replacement (metathesis or exchange reaction):
In a double replacement reaction, the cations and anions of two different compounds switch places to form two new compounds. Looking at the given equation, we don't see any cations or anions switching places, so it is not a double replacement reaction.

2. Single Replacement (displacement reaction):
In a single replacement reaction, an atom or ion is replaced by another atom or ion in a compound. Again, looking at the equation, we don't see any atoms or ions being replaced, so it is not a single replacement reaction.

3. Decomposition:
In a decomposition reaction, a single compound breaks down into two or more simpler substances. Looking at the equation, we see that two reactants (AlBr3 and O2) combine to form two products (Al2O3 and Br2). Therefore, it is not a decomposition reaction.

4. Combustion:
In a combustion reaction, a substance reacts with oxygen to produce carbon dioxide and water. The given equation does involve the reaction of a compound with oxygen, but the products formed are aluminum oxide (Al2O3) and bromine (Br2), not carbon dioxide and water. Therefore, it is not a combustion reaction.

5. Synthesis (combination):
In a synthesis reaction, two or more simple substances combine to form a more complex substance. Again, looking at the equation, we see that two reactants (AlBr3 and O2) combine to form a single product (Al2O3). Therefore, the given equation represents a synthesis reaction.

So, the correct answer is e. Synthesis