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Chloromethane has a permanent dipole because of the chlorine molecule attached to the carbon, which means the chlorine has a partial negative charge while the carbon has a partial positive charge. These charges allow certain molecules of chloromethane to be "attracted" to other chloromethane molecules' oppositely charged regions (dipole-dipole interactions). These attractive intermolecular forces hold the molecules together and need to be broken in order for chloromethane to reach its boiling point, which requires a greater input of energy (heat).

In comparison, ethane only has the weakest intermolecular interactions holding the molecules together (van der Waals attractive forces / London forces). London forces are weak compared to dipole-dipole interactions and so less energy (heat) is required to break the bonds.

The result is that chloromethane has a higher boiling point than ethane because more heat is required to break the intermolecular bonds between chloromethane than is required to break the bonds between ethane.

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