Step 1: Understanding the hydrogenation process.
In the hydrogenation process, ethene (C\(_2\)H\(_4\)) reacts with hydrogen (H\(_2\)) to form ethane (C\(_2\)H\(_6\)). The balanced equation for the reaction is:
\[
\text{C}_2\text{H}_4 + \text{H}_2 \rightarrow \text{C}_2\text{H}_6
\]
This indicates that 1 mole of ethene reacts with 1 mole of hydrogen to form 1 mole of ethane.
Step 2: Calculation.
The molar mass of ethane (C\(_2\)H\(_6\)) is 30 g/mol. To prepare 6 g of ethane, we need:
\[
\frac{6 \, \text{g}}{30 \, \text{g/mol}} = 0.2 \, \text{moles of ethane}
\]
Since the molar ratio of ethene to ethane is 1:1, we need 0.2 moles of ethene.
Step 3: Conclusion.
The correct answer is (A) 0.2 mole.