Read the chemical equation.
[tex]
2H_2 + O_2 \rightarrow 2H_2O
[/tex]

Which of the following statements would be correct if one mole of [tex]H_2[/tex] was used in this reaction?

A. One mole of oxygen was used in this reaction.
B. Two moles of oxygen were used in this reaction.
C. One mole of water was produced from this reaction.
D. Two moles of water were produced from this reaction.



Answer :

Let's start by examining the balanced chemical equation:
[tex]\[ 2 H_2 + O_2 \rightarrow 2 H_2O \][/tex]

This equation tells us that 2 moles of [tex]\( H_2 \)[/tex] react with 1 mole of [tex]\( O_2 \)[/tex] to produce 2 moles of [tex]\( H_2O \)[/tex].

Now, let's analyze what happens if only 1 mole of [tex]\( H_2 \)[/tex] is used in the reaction:

1. Determine the moles of [tex]\( O_2 \)[/tex] used:

According to the balanced equation, 2 moles of [tex]\( H_2 \)[/tex] react with 1 mole of [tex]\( O_2 \)[/tex]. We can set up a proportion to find out how many moles of [tex]\( O_2 \)[/tex] react with 1 mole of [tex]\( H_2 \)[/tex]:

[tex]\[ \frac{1\ \text{mole}\ O_2}{2\ \text{moles}\ H_2} = \frac{x\ \text{moles}\ O_2}{1\ \text{mole}\ H_2} \][/tex]

Solving the proportion:

[tex]\[ x = \frac{1\ \text{mole}\ O_2 \times 1\ \text{mole}\ H_2}{2\ \text{moles}\ H_2} = 0.5\ \text{moles}\ O_2 \][/tex]

So, 0.5 moles of [tex]\( O_2 \)[/tex] are used when 1 mole of [tex]\( H_2 \)[/tex] reacts.

2. Determine the moles of [tex]\( H_2O \)[/tex] produced:

Similarly, from the balanced equation, 2 moles of [tex]\( H_2 \)[/tex] produce 2 moles of [tex]\( H_2O \)[/tex]. We set up a proportion to find out how many moles of [tex]\( H_2O \)[/tex] are produced from 1 mole of [tex]\( H_2 \)[/tex]:

[tex]\[ \frac{2\ \text{moles}\ H_2O}{2\ \text{moles}\ H_2} = \frac{y\ \text{moles}\ H_2O}{1\ \text{mole}\ H_2} \][/tex]

Solving the proportion:

[tex]\[ y = \frac{2\ \text{moles}\ H_2O \times 1\ \text{mole}\ H_2}{2\ \text{moles}\ H_2} = 1\ \text{mole}\ H_2O \][/tex]

So, 1 mole of [tex]\( H_2O \)[/tex] is produced when 1 mole of [tex]\( H_2 \)[/tex] reacts.

Given these results, the correct statements are:

- One mole of oxygen was used in this reaction: This statement is incorrect because only 0.5 moles of [tex]\( O_2 \)[/tex] were used.
- Two moles of oxygen were used in this reaction: This statement is also incorrect because, as established, only 0.5 moles of [tex]\( O_2 \)[/tex] were used.
- One mole of water was produced from this reaction: This statement is correct because 1 mole of [tex]\( H_2O \)[/tex] was produced.
- Two moles of water were produced from this reaction: This statement is incorrect because only 1 mole of [tex]\( H_2O \)[/tex] was produced.

Thus, the correct statement is:
- One mole of water was produced from this reaction.