Two bulbs `A` and `B` contains `16 g O_(2)` and `16 g O_(3)`, respectively. Which of the statements are ture?

Options

A. Both bulbs contains same number of atoms.
B. Both bulbs contains different number of atoms.
C. Both bulbs contain same number of molecules.
D. Bulb `A` contains `N_(A)//2` molecules while bulb `B` contains `N_(A)//3` molecules. `(N_(A)` = Avogadro's number).

Explanation

To solve the problem, we need to determine the number of oxygen atoms in each bulb and analyze the statements provided.

### Step-by-Step Solution:

1. **Identify the Molar Masses:**
- The molar mass of O₂ (oxygen gas) = 32 g/mol (since O has a molar mass of 16 g/mol and there are 2 O atoms).
- The molar mass of O₃ (ozone) = 48 g/mol (since there are 3 O atoms).

2. **Calculate Moles of O₂ in Bulb A:**
- Given mass of O₂ = 16 g
- Moles of O₂ = mass / molar mass = 16 g / 32 g/mol = 0.5 moles.

3. **Calculate Number of Oxygen Atoms in Bulb A:**
- Each mole of O₂ contains 2 moles of O atoms.
- Therefore, the number of O atoms in 0.5 moles of O₂ = 0.5 moles × 2 = 1 mole of O atoms.
- Using Avogadro's number (Na = 6.022 × 10²³), the number of O atoms = 1 × Na = Na.

4. **Calculate Moles of O₃ in Bulb B:**
- Given mass of O₃ = 16 g
- Moles of O₃ = mass / molar mass = 16 g / 48 g/mol = 1/3 moles.

5. **Calculate Number of Oxygen Atoms in Bulb B:**
- Each mole of O₃ contains 3 moles of O atoms.
- Therefore, the number of O atoms in 1/3 moles of O₃ = (1/3) moles × 3 = 1 mole of O atoms.
- Using Avogadro's number, the number of O atoms = 1 × Na = Na.

6. **Comparison of Results:**
- Both bulbs contain the same number of oxygen atoms (Na).
- Number of O₂ molecules in Bulb A = 0.5 moles = Na/2.
- Number of O₃ molecules in Bulb B = 1/3 moles = Na/3.

### Conclusion:
- Both bulbs contain the same number of oxygen atoms.
- The number of molecules in Bulb A (O₂) is Na/2, and in Bulb B (O₃) is Na/3.

### Statements Analysis:
- Both bulbs contain the same number of oxygen atoms: **True**
- Both bulbs contain different number of atoms: **False**
- Both bulbs contain the same number of molecules: **False**
- Bulb A contains Na/2 and Bulb B contains Na/3 molecules: **True**

### Final Answer:
The correct statements are:
- Statement A: True
- Statement D: True