Final answer:
CH₄ has a lower boiling point than CCl₄ due to its nonpolar nature resulting in weaker dispersion forces.
Step-by-step explanation:
The reason CH₄ has a lower boiling point than CCl₄ is that CH₄ is a nonpolar molecule and thus has weaker intermolecular forces compared to CCl₄, which has stronger intermolecular forces due to the larger dispersion forces arising from its greater molar mass and polarizability. The presence of chlorine atoms in CCl₄ also contributes to the larger dispersion forces compared to CH₄, despite CCl₄ being nonpolar, like CH₄.