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Find out mole % of C in CH(4)...

Find out mole `%` of C in `CH_(4)`

A

`80%`

B

`20%`

C

`25%`

D

`75%`

Text Solution

AI Generated Solution

The correct Answer is:
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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