Step 1: Understanding the Concept:
Conformational isomerism in alkanes involves analyzing the relative stability of different spatial arrangements based on repulsive forces between bonds.
Step 2: Key Formula or Approach:
Define torsional strain (repulsion between electron clouds of eclipsing bonds) and relate it to the dihedral angle and stability of Newman projections.
Step 3: Detailed Explanation:
1. Statement I: In the staggered conformation of ethane, the $C-H$ bonds on the two adjacent carbons are as far apart as possible (dihedral angle = $60^{\circ}$). This minimizes electron-electron repulsion. In the eclipsed conformation, they are closest together (dihedral angle = $0^{\circ}$), maximizing repulsion. Thus, the staggered conformation possesses lower potential energy and is more stable. (Statement I is True)
2. Statement II: Torsional strain refers to the repulsion between the bonding electrons of adjacent atoms. Since the staggered form has maximum distance between these bonds, it has the minimum torsional strain. Conversely, the eclipsed form has maximum torsional strain. (Statement II is False)
Step 4: Final Answer:
Statement I is correct, but Statement II is incorrect.