In three moles of ethane (`C_(2)H_(6)`), calculate the following :
Number of moles of carbon atom,

Answer

To find the number of moles of carbon atoms in three moles of ethane (C₂H₆), we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Composition of Ethane**:
Ethane (C₂H₆) consists of 2 carbon atoms and 6 hydrogen atoms per molecule.

2. **Determine the Number of Carbon Atoms in One Mole of Ethane**:
In one mole of ethane (C₂H₆), there are 2 moles of carbon atoms. This is because each molecule of ethane contains 2 carbon atoms.

3. **Calculate the Number of Carbon Atoms in Three Moles of Ethane**:
To find the number of moles of carbon in three moles of ethane, we can use a simple multiplication:
\[ \text{Number of moles of carbon} = \text{Number of moles of ethane} \times \text{Number of moles of carbon per mole of ethane} \]
\[ \text{Number of moles of carbon} = 3 \, \text{moles of C₂H₆} \times 2 \, \text{moles of carbon/mole of C₂H₆} = 6 \, \text{moles of carbon} \]

4. **Final Answer**:
Therefore, in three moles of ethane, there are **6 moles of carbon atoms**.