1 mol of `CH_(4)` contains

Options

A. `6.02xx10^(23)` atoms of H
B. 4 g atom of hydrogen
C. `1.81xx10^(23)` molecules of `CH_(4)`
D. 3.0 g of carbon.

Answer

To solve the question "1 mol of CH₄ contains", we will break down the components of methane (CH₄) and apply the mole concept step by step.

### Step-by-Step Solution:

1. **Understanding the Composition of CH₄**:
- Methane (CH₄) consists of 1 carbon (C) atom and 4 hydrogen (H) atoms.

2. **Using Avogadro's Number**:
- One mole of any substance contains Avogadro's number of entities (atoms, molecules, etc.), which is approximately \(6.022 \times 10^{23}\).

3. **Calculating the Number of Molecules**:
- Therefore, 1 mole of CH₄ contains \(6.022 \times 10^{23}\) molecules of CH₄.

4. **Calculating the Number of Atoms**:
- Since each molecule of CH₄ contains 1 carbon atom and 4 hydrogen atoms:
- Total number of carbon atoms in 1 mole of CH₄ = \(6.022 \times 10^{23}\) atoms of C.
- Total number of hydrogen atoms in 1 mole of CH₄ = \(4 \times 6.022 \times 10^{23}\) atoms of H = \(2.4088 \times 10^{24}\) atoms of H.

5. **Calculating the Mass of Each Element**:
- The molar mass of carbon (C) = 12 g/mol.
- The molar mass of hydrogen (H) = 1 g/mol.
- Therefore, the total mass of 1 mole of CH₄ = mass of C + mass of H = 12 g + (4 g) = 16 g.

6. **Final Summary**:
- 1 mole of CH₄ contains:
- \(6.022 \times 10^{23}\) molecules of CH₄,
- \(6.022 \times 10^{23}\) atoms of carbon,
- \(2.4088 \times 10^{24}\) atoms of hydrogen,
- 16 grams of CH₄.

### Conclusion:
The correct answer to the question "1 mol of CH₄ contains" is that it contains \(6.022 \times 10^{23}\) molecules of CH₄, 1 mole of carbon, and 4 moles of hydrogen.