The dipole moment of a molecule depends on the difference in electronegativity between atoms and the molecular geometry.
1. Step 1: Analyze each molecule's dipole moment.
- NH$_3$ (Ammonia): This molecule has a pyramidal shape due to the lone pair on nitrogen, with a significant dipole moment because nitrogen is highly electronegative and the lone pair pushes the bond pairs.
- NF$_3$ (Nitrogen trifluoride): Although it has a similar structure to NH$_3$, the dipole moment of NF$_3$ is lower because fluorine is highly electronegative, but the molecule has a more symmetrical shape that partially cancels the dipole.
- H$_2$S (Hydrogen sulfide): The molecule has a bent shape, but sulfur’s electronegativity is lower than oxygen, and thus the dipole moment is smaller than that of NH$_3$.
- CHCl$_2$ (Dichloromethane): This molecule has a tetrahedral shape and chlorine is highly electronegative, which would result in a moderate dipole moment. However, the dipole moment is lower than that of NH$_3$ and NF$_3$ because the structure of CHCl$_2$ is more symmetric.
Thus, the correct order of dipole moments is NH$_3$ > NF$_3$ > H$_2$S > CHCl$_2$.