Which has the maximum number of molecules among the following?

Options

A. `64 g SO_(2)`
B. `44 g CO_(2)`
C. `48 g O_(3)`
D. `8 g H_(2)`

Explanation

To determine which substance has the maximum number of molecules, we will calculate the number of moles for each substance and then convert that to the number of molecules using Avogadro's number (6.022 x 10²³ molecules per mole).

### Step-by-Step Solution:

1. **Calculate the number of moles of SO₂:**
- Given: 64 g of SO₂
- Molecular weight of SO₂ = 32 (S) + 16 x 2 (O) = 32 + 32 = 64 g/mol
- Number of moles of SO₂ = Mass / Molecular Weight = 64 g / 64 g/mol = 1 mole

2. **Calculate the number of moles of CO₂:**
- Given: 44 g of CO₂
- Molecular weight of CO₂ = 12 (C) + 16 x 2 (O) = 12 + 32 = 44 g/mol
- Number of moles of CO₂ = Mass / Molecular Weight = 44 g / 44 g/mol = 1 mole

3. **Calculate the number of moles of O₃:**
- Given: 48 g of O₃
- Molecular weight of O₃ = 16 x 3 (O) = 48 g/mol
- Number of moles of O₃ = Mass / Molecular Weight = 48 g / 48 g/mol = 1 mole

4. **Calculate the number of moles of H₂:**
- Given: 8 g of H₂
- Molecular weight of H₂ = 2 x 1 (H) = 2 g/mol
- Number of moles of H₂ = Mass / Molecular Weight = 8 g / 2 g/mol = 4 moles

5. **Convert moles to molecules:**
- For SO₂: 1 mole = 6.022 x 10²³ molecules
- For CO₂: 1 mole = 6.022 x 10²³ molecules
- For O₃: 1 mole = 6.022 x 10²³ molecules
- For H₂: 4 moles = 4 x 6.022 x 10²³ molecules = 24.088 x 10²³ molecules

6. **Compare the number of molecules:**
- SO₂: 6.022 x 10²³ molecules
- CO₂: 6.022 x 10²³ molecules
- O₃: 6.022 x 10²³ molecules
- H₂: 24.088 x 10²³ molecules

### Conclusion:
The substance with the maximum number of molecules is **8 g of H₂**, which has 24.088 x 10²³ molecules.