To determine the products of the chemical reaction, we need to look at the substances formed as a result of this reaction. The equation provided is:
[tex]\[ CH_4(g) + 2 O_2(g) \rightarrow CO_2(g) + 2 H_2O(g) \][/tex]
In a chemical reaction, the substances to the right of the arrow (→) are the products, while those to the left are the reactants.
Let's break down what we see:
Reactants:
- [tex]\( CH_4(g) \)[/tex]: This represents methane gas.
- [tex]\( 2 O_2(g) \)[/tex]: This represents two molecules of oxygen gas.
Products:
- [tex]\( CO_2(g) \)[/tex]: This represents carbon dioxide gas.
- [tex]\( 2 H_2O(g) \)[/tex]: This represents two molecules of water vapor.
The products in this reaction are therefore [tex]\( CO_2(g) \)[/tex] and [tex]\( 2 H_2O(g) \)[/tex].
Now, examining our answer choices:
A. [tex]\( CH_4(g) \)[/tex] - This is one of the reactants, not a product.
B. [tex]\( CH_4(g) + 2 O_2(g) \)[/tex] - These are the reactants, not the products.
C. [tex]\( CO_2(g) \)[/tex] - This is one of the products, but not the complete list.
D. [tex]\( CO_2(g) + 2 H_2O(g) \)[/tex] - This correctly identifies both products of the reaction.
Thus, choice D accurately represents the products of this reaction. The products of the reaction are:
[tex]\[ CO_2(g) + 2 H_2O(g) \][/tex]
Therefore, the correct answer is:
[tex]\[ \boxed{D: CO_2(g) + 2 H_2O(g)} \][/tex]