Step 1: Understanding the Concept:
Surfactants are molecules with a hydrophilic (polar) head and a hydrophobic (non-polar) tail.
In water, these molecules aggregate into micelles to minimize the energy of the system.
Step 2: Detailed Explanation:
In sodium stearate:
1. \(CH_3(CH_2)_{16}-\) is a long hydrocarbon chain (non-polar, hydrophobic tail).
2. \(-COO^-\) is the polar hydrophilic head.
When placed in water, the hydrophobic tails cluster together in the interior of the micelle to avoid water molecules, while the hydrophilic heads face outwards to interact with water.
This aggregation typically forms a spherical structure.
Therefore, the hydrocarbon groups point towards the center of the sphere.
Step 3: Final Answer:
Statement (C) is correct.