To find the mole percentage of carbon in methane (CH₄), we can follow these steps:
### Step 1: Identify the composition of CH₄
- The molecular formula of methane is CH₄, which means it consists of:
- 1 carbon atom (C)
- 4 hydrogen atoms (H)
### Step 2: Determine the number of moles of each element
- In one molecule of CH₄:
- Number of moles of carbon (C) = 1 mole
- Number of moles of hydrogen (H) = 4 moles
### Step 3: Calculate the total number of moles in CH₄
- Total number of moles = Number of moles of carbon + Number of moles of hydrogen
- Total number of moles = 1 mole (C) + 4 moles (H) = 5 moles
### Step 4: Use the formula for mole percentage
- The formula for calculating the mole percentage of an element is:
\[
\text{Mole \% of C} = \left( \frac{\text{Number of moles of C}}{\text{Total number of moles}} \right) \times 100
\]
- Substituting the values:
\[
\text{Mole \% of C} = \left( \frac{1}{5} \right) \times 100
\]
### Step 5: Perform the calculation
- \[
\text{Mole \% of C} = 0.2 \times 100 = 20\%
\]
### Conclusion
- The mole percentage of carbon in CH₄ is **20%**.
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