In the following final result is ……`0.1molCH_(4)+3.01xx10^(23)"molecules"CH_(4)-9.6 g CH_(4) = x mol H` atoms :

Options

A. `0 "mol" H "atom"`
B. `0.2 "mol" H "atom"`
C. `0.3 "mol" H`
D. `0.4 "mol" H "atom"`

Answer

To solve the problem, we need to find the number of moles of hydrogen atoms (H) based on the given information about methane (CH₄).

### Step-by-Step Solution:

1. **Identify the given data**:
- Moles of CH₄ = 0.1 mol
- Number of molecules of CH₄ = 3.01 x 10²³ molecules
- Mass of CH₄ = 9.6 g

2. **Calculate the number of moles from the number of molecules**:
- Use Avogadro's number (6.02 x 10²³ molecules/mol) to convert molecules to moles.
\[ \text{Moles of CH₄ from molecules} = \frac{3.01 \times 10^{23}}{6.02 \times 10^{23}} \approx 0.5 \text{ mol} \]

3. **Calculate the number of moles from the mass**:
- The molar mass of CH₄ (methane) is approximately 16 g/mol.
\[ \text{Moles of CH₄ from mass} = \frac{9.6 \text{ g}}{16 \text{ g/mol}} = 0.6 \text{ mol} \]

4. **Combine the results**:
- Now, we have:
- Moles from the first part: 0.1 mol
- Moles from the second part: 0.5 mol
- Moles from the third part: 0.6 mol
- Combine these values:
\[ \text{Total moles of CH₄} = 0.1 + 0.5 - 0.6 = 0.0 \text{ mol} \]

5. **Determine the number of moles of hydrogen atoms**:
- Each molecule of CH₄ contains 4 hydrogen atoms. Therefore, the number of moles of hydrogen atoms is:
\[ \text{Moles of H} = 0.0 \text{ mol of CH₄} \times 4 = 0.0 \text{ mol of H} \]

### Final Result:
The final result is **0 mol of H atoms**.

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