To determine which set of molecules will have a zero dipole moment, it's essential to understand what a dipole moment is and how molecular geometry affects it.
The dipole moment is a measure of the separation of positive and negative charges in a molecule. Molecules with a symmetrical distribution of charge have a zero dipole moment because the individual bond dipoles cancel each other out. Let’s analyze each option provided:
- Ammonia, beryllium difluoride, water, 1,4-dichlorobenzene:
- Ammonia (NH3) has a trigonal pyramidal shape, causing a net dipole moment due to its lone pair.
- Beryllium difluoride (BeF2) is linear and thus has a zero dipole moment.
- Water (H2O) has a bent shape, resulting in a non-zero dipole moment.
- 1,4-Dichlorobenzene is symmetrical and thus has a zero dipole moment.
This set includes molecules with non-zero dipole moments.
- Boron trifluoride, hydrogen fluoride, carbon dioxide, 1,3-dichlorobenzene:
- Boron trifluoride (BF3) has a symmetrical trigonal planar shape, leading to a zero dipole moment.
- Hydrogen fluoride (HF) is a polar molecule with a non-zero dipole moment.
- Carbon dioxide (CO2) is linear and symmetrical, resulting in a zero dipole moment.
- 1,3-Dichlorobenzene is not symmetrical, so it has a non-zero dipole moment.
Some molecules have non-zero dipole moments.
- Nitrogen trifluoride, beryllium difluoride, water, 1,3-dichlorobenzene:
- Nitrogen trifluoride (NF3) has a trigonal pyramidal shape, causing a non-zero dipole moment.
- Water (H2O) has a bent shape and thus a non-zero dipole moment.
- 1,3-Dichlorobenzene is not symmetrical, so it has a non-zero dipole moment.
- Beryllium difluoride (BeF2) is linear and has a zero dipole moment.
Many molecules in this set have non-zero dipole moments.
- Boron trifluoride, beryllium difluoride, carbon dioxide, 1,4-dichlorobenzene:
- Boron trifluoride (BF3) has a symmetrical shape (trigonal planar), leading to a zero dipole moment.
- Beryllium difluoride (BeF2) is linear and symmetrical, hence has a zero dipole moment.
- Carbon dioxide (CO2) is also linear and has a zero dipole moment.
- 1,4-Dichlorobenzene is symmetrical, so it has a zero dipole moment.
All molecules in this set have zero dipole moments.
Hence, the correct answer is: Boron trifluoride, beryllium difluoride, carbon dioxide, 1,4-dichlorobenzene, as all the molecules in this set have symmetrical shapes that lead to zero dipole moments.