Which has the maximum number of molecules among the following ?

Options

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

Answer

To determine which of the given options 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/mole).

### Step-by-Step Solution:

1. **Calculate the number of moles of CO2:**
- Molar mass of CO2 = 12 (C) + 16*2 (O) = 12 + 32 = 44 g/mol
- Number of moles in 44 g of CO2 = mass / molar mass = 44 g / 44 g/mol = 1 mole
- Number of molecules = 1 mole × 6.022 x 10²³ molecules/mole = 6.022 x 10²³ molecules

2. **Calculate the number of moles of O2:**
- Molar mass of O2 = 16*2 = 32 g/mol
- Number of moles in 44 g of O2 = mass / molar mass = 44 g / 32 g/mol = 1.375 moles
- Number of molecules = 1.375 moles × 6.022 x 10²³ molecules/mole = 8.27 x 10²³ molecules

3. **Calculate the number of moles of H2:**
- Molar mass of H2 = 1*2 = 2 g/mol
- Number of moles in 8 g of H2 = mass / molar mass = 8 g / 2 g/mol = 4 moles
- Number of molecules = 4 moles × 6.022 x 10²³ molecules/mole = 24.088 x 10²³ molecules

4. **Calculate the number of moles of SO2:**
- Molar mass of SO2 = 32 (S) + 16*2 (O) = 32 + 32 = 64 g/mol
- Number of moles in 64 g of SO2 = mass / molar mass = 64 g / 64 g/mol = 1 mole
- Number of molecules = 1 mole × 6.022 x 10²³ molecules/mole = 6.022 x 10²³ molecules

### Summary of Molecules:
- CO2: 6.022 x 10²³ molecules
- O2: 8.27 x 10²³ molecules
- H2: 24.088 x 10²³ molecules
- SO2: 6.022 x 10²³ molecules

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

### Final Answer:
**8 gm of H2 has the maximum number of molecules present.**

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