https://file.aiquickdraw.com/mathbot/file/173011666566129ou2su9.jpg

Let's analyze the problem step-by-step to determine the correct answer for each category:

1. **List of Compounds:**
   - \(3 \text{O}_2\) (oxygen molecule)
   - \( \text{H}_2\text{O} \) (water)
   - \( \text{O}_3 \) (ozone)
   - \(2 \text{NH}_3 \) (ammonia)

2. **Categories to be calculated:**
   - **(I) Elements:** Count the unique elements involved.
   - **(II) Atoms:** Total atoms present.
   - **(III) Molecules:** Total molecules given.
   - **(IV) Substances:** Count distinct substances.
   - **(V) Compounds:** Count distinct compounds (distinct molecules).

### Step-by-Step Calculation:
- **(I) Elements**:
  - Elements involved: \( \text{O} \) (oxygen), \( \text{H} \) (hydrogen), \( \text{N} \) (nitrogen).
  - Total unique elements = **3**.

- **(II) Atoms**:
  - \(3 \text{O}_2\): \(3 \times 2 = 6\) oxygen atoms.
  - \( \text{H}_2\text{O} \): \(2\) hydrogen atoms and \(1\) oxygen atom, totaling \(3\).
  - \( \text{O}_3 \): \(3\) oxygen atoms.
  - \(2 \text{NH}_3\): \(2 \times (1 \text{ nitrogen} + 3 \text{ hydrogen}) = 2 + 6 = 8\) atoms.
  - Total atoms = \(6 + 3 + 3 + 8 = 20\).

- **(III) Molecules**:
  - \(3 \text{O}_2\): \(3\) molecules.
  - \( \text{H}_2\text{O} \): \(1\) molecule.
  - \( \text{O}_3 \): \(1\) molecule.
  - \(2 \text{NH}_3\): \(2\) molecules.
  - Total molecules = \(3 + 1 + 1 + 2 = 7\).

- **(IV) Substances**:
  - Distinct substances (listed as unique compounds): \( \text{O}_2, \text{H}_2\text{O}, \text{O}_3, \text{NH}_3 \).
  - Total substances = **4**.

- **(V) Compounds**:
  - Distinct compounds: \( \text{H}_2\text{O} \) and \( \text{NH}_3 \).
  - Total compounds = **2**.

### Final Answer
The correct answer should be:

- **(I) = 3**
- **(II) = 20**
- **(III) = 7**
- **(IV) = 4**
- **(V) = 2**

This matches option **c** in the provided choices.

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Would you like more details or have any questions about this solution?

### Additional Practice Questions
1. How would the atom count change if there were \(4\) molecules of \( \text{NH}_3 \)?
2. What is the difference between "substances" and "compounds" in this context?
3. How many atoms would be in \(5 \text{O}_3\) molecules?
4. Why are \( \text{H}_2\text{O} \) and \( \text{NH}_3 \) considered compounds?
5. How would you classify a substance like \( \text{CO}_2 \) in terms of elements and atoms?

### Tip
Remember that "molecules" count individual units, while "compounds" refer to distinct types of molecules, helping differentiate totals in chemistry problems.

In the system [3O2; H2O; O3; 2NH3], determine the respective numbers of chemical elements (I), atoms (II), molecules (III), substances (IV), and chemical compounds (V).

Learn how to count elements, atoms, molecules, substances, and compounds in a chemical system with [3O2; H2O; O3; 2NH3]. This problem covers basic chemistry concepts suitable for high school students, detailing molecular structure and distinct compounds.

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