Step 1: Concept:
This question tests knowledge of the physical properties (specifically boiling point) of geometric isomers (cis and trans) and how these properties relate to molecular polarity (dipole moment).
Step 2: Key Concept:
Boiling points are directly related to the strength of intermolecular forces in a liquid. Stronger forces require more thermal energy to overcome, leading to higher boiling points. Dipole-dipole interactions are a significant contributor to intermolecular forces.
Step 3: Step-by-step Explanation:
• Evaluating Reason (R): In a cis-isomer, similar functional groups are on the same side of the double bond. Their individual bond dipoles generally point in the same general direction, meaning they add up to give the molecule a significant net dipole moment. In a trans-isomer, similar groups are on opposite sides, causing their bond dipoles to point in opposing directions, mostly or completely canceling each other out. Thus, it is generally true that cis isomers have higher net dipole moments than trans isomers.
• Evaluating Assertion (A): Because cis isomers possess a higher dipole moment, the dipole-dipole attractions between cis molecules in the liquid phase are stronger than those between trans molecules (which rely mostly on weaker London dispersion forces). Because these intermolecular forces are stronger, more energy is required to boil a cis isomer, giving it a higher boiling point than its trans counterpart. Therefore, Assertion (A) is correct.
• Relationship: The increased dipole moment described in (R) directly causes the stronger intermolecular forces that lead to the higher boiling point described in (A). Therefore, (R) correctly explains (A).
Step 4: Final Answer:
Both statements are true, and the Reason provides the physical basis for the Assertion. Option (A) is correct.