Equal volumes of gases at the same temperature and pressure contain equal number of particles. This statement is a direct consequence of

Options

A. Avogadro's law
B. Charle's law
C. ideal gas equation
D. law of partial pressure

Answer

To solve the question, we need to identify which law or principle supports the statement that equal volumes of gases at the same temperature and pressure contain equal numbers of particles.

### Step-by-Step Solution:

1. **Understanding the Statement**: The statement indicates that when we have equal volumes of gases that are kept at the same temperature and pressure, the number of particles (or molecules) in those volumes is the same.

2. **Identifying Relevant Gas Laws**: We need to consider various gas laws that relate volume, temperature, pressure, and the number of particles. The most relevant laws are:
- Avogadro's Law
- Charles's Law
- Ideal Gas Law
- Dalton's Law of Partial Pressures

3. **Evaluating Avogadro's Law**: Avogadro's Law states that equal volumes of gases, at the same temperature and pressure, contain an equal number of molecules. This directly supports the statement in the question.

4. **Considering Other Laws**:
- **Charles's Law** deals with the relationship between volume and temperature at constant pressure, but it does not address the number of particles.
- **Ideal Gas Law (PV=nRT)** relates pressure, volume, temperature, and the number of moles (n), but it does not explicitly state that equal volumes contain equal numbers of particles under the same conditions.
- **Dalton's Law of Partial Pressures** pertains to the total pressure of a mixture of gases and their individual pressures, which is not relevant to the statement.

5. **Conclusion**: Since Avogadro's Law directly states that equal volumes of gases at the same temperature and pressure contain equal numbers of particles, it is the correct answer to the question.

### Final Answer:
The statement is a direct consequence of **Avogadro's Law**.

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