One mole of methane `(CH_4)` contains

Options

A. `6.02xx10^(23)` atoms of Hydrogen
B. `1.204xx10^(24)` atoms of Carbon
C. `2.408xx10^(24)`atoms of Hydrogen
D. 6 gm of Carbon

Explanation

To determine what one mole of methane (CH₄) contains, we can break it down into its components: the number of atoms of each element present in one mole of the compound.

### Step-by-Step Solution:

1. **Identify the Composition of Methane (CH₄)**:
- Methane is composed of one carbon atom (C) and four hydrogen atoms (H).

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

3. **Calculate the Number of Atoms in One Mole of Methane**:
- **Carbon Atoms**:
- Since there is 1 carbon atom in CH₄, one mole of methane contains:
\[ 1 \text{ mole of C} = 6.022 \times 10^{23} \text{ carbon atoms} \]
- **Hydrogen Atoms**:
- Since there are 4 hydrogen atoms in CH₄, one mole of methane contains:
\[ 4 \text{ moles of H} = 4 \times 6.022 \times 10^{23} \text{ hydrogen atoms} = 2.4088 \times 10^{24} \text{ hydrogen atoms} \]

4. **Summarize the Findings**:
- Therefore, one mole of methane (CH₄) contains:
- \(6.022 \times 10^{23}\) carbon atoms
- \(2.4088 \times 10^{24}\) hydrogen atoms

5. **Mass of One Mole of Methane**:
- The molar mass of methane can also be calculated:
- Carbon (C) has a molar mass of approximately 12 g/mol.
- Hydrogen (H) has a molar mass of approximately 1 g/mol.
- Thus, the molar mass of CH₄ is:
\[ 12 \text{ g/mol (C)} + 4 \times 1 \text{ g/mol (H)} = 16 \text{ g/mol} \]
- Therefore, one mole of methane weighs 16 grams.

### Final Answer:
One mole of methane (CH₄) contains:
- \(6.022 \times 10^{23}\) carbon atoms
- \(2.4088 \times 10^{24}\) hydrogen atoms
- A mass of 16 grams.