Step 1: Understanding the Concept:
A triglyceride is an ester formed from one molecule of glycerol and three molecules of fatty acids. Therefore, a single triglyceride molecule contains three ester linkages.
Step 2: Key Formula or Approach:
The hydrolysis of an ester requires one mole of water per mole of ester linkage. The general reaction is:
\[ \text{Ester} + \text{H}_2\text{O} \longrightarrow \text{Alcohol} + \text{Carboxylic Acid} \]
Step 3: Detailed Explanation:
To completely hydrolyze one molecule of a triglyceride, each of the three ester bonds must be cleaved. The cleavage of one ester bond requires one molecule of water.
Reaction for 1 mole:
\(\text{Triglyceride} + 3\text{H}_2\text{O} \longrightarrow \text{Glycerol} + 3\text{Fatty Acids}\)
Thus, $1$ mole of triglyceride requires $3$ moles of water for complete hydrolysis.
By extension, \(n\) moles of triglyceride will require \(3n\) moles of water.
Step 4: Final Answer:
The correct option is (B).