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StoichiometryMCQ

[VISUAL] 9. A mixture of CO(g) and O2(g) is placed in a container, as shown above. A reaction occursStoichiometry Chemistry Question

Question

[VISUAL]

  1. A mixture of CO(g) and O2(g) is placed in a container, as shown above. A reaction occurs, forming CO2(g). Which of the following best represents the contents of the box after the reaction has proceeded as completely as possible?
A.

Box A

B.

Box B

✓ Correct
C.

Box C

D.

Box D

💡 Solution & Explanation

STEPS:

1. Write and balance the chemical equation for the reaction:
Carbon monoxide (CO\text{CO}) reacts with oxygen gas (O2\text{O}_2) to produce carbon dioxide (CO2\text{CO}_2). The balanced chemical equation is:
2 CO(g)+O2(g)2 CO2(g)2\ \text{CO}(g) + \text{O}_2(g) \rightarrow 2\ \text{CO}_2(g)
This stoichiometry tells us that 2 molecules of CO\text{CO} react with exactly 1 molecule of O2\text{O}_2 to produce 2 molecules of CO2\text{CO}_2.

2. Count the initial reactant molecules in the starting container:
Using the key provided (where gray circles represent C\text{C} and white circles represent O\text{O}):
* CO\text{CO} molecules (one gray circle bonded to one white circle): Count them systematically to find there are exactly 6 CO\text{CO} molecules.
* O2\text{O}_2 molecules (two bonded white circles): Count them systematically to find there are exactly 4 O2\text{O}_2 molecules.

3. Identify the limiting reactant:
Determine how much O2\text{O}_2 is needed to react completely with all 6 molecules of CO\text{CO}:
6 molecules of CO×1 molecule of O22 molecules of CO=3 molecules of O2 needed6\text{ molecules of CO} \times \frac{1\text{ molecule of }\text{O}_2}{2\text{ molecules of CO}} = \mathbf{3\text{ molecules of }\text{O}_2\text{ needed}}
Because we have 4 molecules of O2\text{O}_2 initially and only need 3:
* CO\text{CO} is the limiting reactant (it will be completely consumed).
* O2\text{O}_2 is the excess reactant.

4. Calculate the contents of the container after the reaction goes to completion:
* CO\text{CO} remaining: Since it is the limiting reactant, 66=0 molecules6 - 6 = \mathbf{0\text{ molecules}} remain.
* CO2\text{CO}_2 produced: Since CO\text{CO} and CO2\text{CO}_2 have a 1:11:1 stoichiometric ratio (2:22:2), completely consuming 6 molecules of CO\text{CO} produces exactly 6 molecules of CO2\text{CO}_2 (each represented by one central gray circle bonded to two white circles).
* O2\text{O}_2 remaining: Out of the initial 4 molecules, 3 are consumed, leaving:
4 initial3 consumed=1 molecule of O2 remaining4\text{ initial} - 3\text{ consumed} = \mathbf{1\text{ molecule of }\text{O}_2\text{ remaining}}

5. Select the corresponding box:
The final container must contain exactly 6 CO2\text{CO}_2 molecules and 1 unreacted O2\text{O}_2 molecule. Looking at the choices, Box B matches this composition perfectly, making Option B the correct answer.

*

WHY_OTHERS_WRONG:

  • Option A is incorrect (Box A): This box contains 6 CO2\text{CO}_2 molecules but 0 O2\text{O}_2 molecules. This representation violates the law of conservation of mass because the two oxygen atoms belonging to the excess, unreacted O2\text{O}_2 molecule have completely vanished from the system.
  • Option C is incorrect (Box C): This box represents the starting system with no reaction having occurred (it still contains 6 CO\text{CO} molecules and 4 O2\text{O}_2 molecules). This contradicts the prompt, which states that a reaction occurs and proceeds as completely as possible.
  • Option D is incorrect (Box D): This box shows 6 CO2\text{CO}_2 molecules along with 4 O2\text{O}_2 molecules. For this composition to exist, the final system would need to contain 14 oxygen atoms and 6 carbon atoms, which is far more than the initial starting atoms.
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