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The percentage composition of carbon by ...

The percentage composition of carbon by mole in methane is:

A

`25%`

B

`80%`

C

`75%`

D

`20%`

Text Solution

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The correct Answer is:
To find the percentage composition of carbon by mole in methane (CH₄), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the molecular formula of methane**: - Methane is represented as CH₄, which means it contains one carbon (C) atom and four hydrogen (H) atoms. 2. **Determine the number of moles of carbon in one mole of methane**: - In one mole of methane (CH₄), there is 1 mole of carbon. 3. **Calculate the total number of moles of all atoms in one mole of methane**: - In one mole of CH₄, there are a total of 5 moles of atoms (1 mole of C + 4 moles of H = 5 moles of atoms). 4. **Use the formula for percentage composition by mole**: - The formula for percentage composition by mole is: \[ \text{Percentage composition of C} = \left( \frac{\text{Number of moles of C}}{\text{Total moles of all atoms}} \right) \times 100 \] 5. **Substitute the values into the formula**: - Number of moles of C = 1 - Total moles of all atoms = 5 - Therefore, \[ \text{Percentage composition of C} = \left( \frac{1}{5} \right) \times 100 = 20\% \] 6. **Conclusion**: - The percentage composition of carbon by mole in methane is **20%**.

To find the percentage composition of carbon by mole in methane (CH₄), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the molecular formula of methane**: - Methane is represented as CH₄, which means it contains one carbon (C) atom and four hydrogen (H) atoms. 2. **Determine the number of moles of carbon in one mole of methane**: ...
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