Which has the maximum number of molecules among the following

Options

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

Explanation

To determine which option has the maximum number of molecules, we will calculate the number of moles for each substance given and then multiply by Avogadro's number (Na) to find the number of molecules.

### Step-by-Step Solution:

1. **Calculate the number of moles for CO2:**
- Given mass = 44 grams
- Molar mass of CO2 = 12 (C) + 16*2 (O) = 44 g/mol
- Number of moles = Given mass / Molar mass = 44 g / 44 g/mol = 1 mole
- Number of molecules = Number of moles × Avogadro's number = 1 × Na = Na

2. **Calculate the number of moles for O2:**
- Given mass = 48 grams
- Molar mass of O2 = 16*2 = 32 g/mol
- Number of moles = Given mass / Molar mass = 48 g / 32 g/mol = 1.5 moles
- Number of molecules = 1.5 × Na = 1.5 Na

3. **Calculate the number of moles for H2:**
- Given mass = 8 grams
- Molar mass of H2 = 1*2 = 2 g/mol
- Number of moles = Given mass / Molar mass = 8 g / 2 g/mol = 4 moles
- Number of molecules = 4 × Na = 4 Na

4. **Calculate the number of moles for SO2:**
- Given mass = 64 grams
- Molar mass of SO2 = 32 (S) + 16*2 (O) = 64 g/mol
- Number of moles = Given mass / Molar mass = 64 g / 64 g/mol = 1 mole
- Number of molecules = 1 × Na = Na

5. **Compare the number of molecules:**
- CO2: Na
- O2: 1.5 Na
- H2: 4 Na
- SO2: Na

From the calculations, we see that H2 has the maximum number of molecules, which is 4 Na.

### Conclusion:
- The option with the maximum number of molecules is **H2 (8 grams)**.