Final answer:
Methane (CH₄) cannot form hydrogen bonds with another methane molecule because it does not have a hydrogen atom bonded to a highly electronegative atom like oxygen or nitrogen.
Step-by-step explanation:
The molecule that cannot form hydrogen bonds with an identical molecule from the list provided is methane (CH₄). Hydrogen bonding requires a hydrogen atom that is covalently bonded to a highly electronegative atom such as oxygen (O), nitrogen (N), or fluorine (F). The electronegative atom pulls electron density away from the hydrogen, creating a significant difference in charge that facilitates the hydrogen bond.
Water (H₂O), ammonia (NH₃), and hydrogen peroxide (H₂O₂) all have hydrogen atoms covalently bonded to an electronegative oxygen or nitrogen, and thus, can form hydrogen bonds. Methane, however, consists of a carbon atom bonded to hydrogen atoms and lacks the electronegative atom required for hydrogen bonding.