To determine which of the given molecules has a trigonal planar shape, we first need to understand the concept of molecular geometry. The shape of a molecule is determined by the arrangement of atoms around the central atom, which is influenced by the electron-pair repulsion theory, often called the VSEPR (Valence Shell Electron Pair Repulsion) theory.
VSEPR Theory: The shape of a molecule is determined by the repulsions between electron pairs in the valence shell of the central atom. These pairs arrange themselves as far apart as possible to minimize repulsions.
Molecule | Chemical Formula | Geometry |
---|---|---|
Methane | \( \mathrm{CH_4} \) | Tetrahedral |
Boron Trifluoride | \( \mathrm{BF_3} \) | Trigonal Planar |
Ammonia | \( \mathrm{NH_3} \) | Trigonal Pyramidal |
Water | \( \mathrm{H_2O} \) | Bent |
Analyzing each molecule:
Thus, the molecule with a trigonal planar shape is \( \mathrm{BF_3} \).
Step 1: Understand molecular geometry
- \( \mathrm{CH_4} \): tetrahedral shape (4 bonds, no lone pairs)
- \( \mathrm{BF_3} \): 3 bonds, no lone pairs, trigonal planar
- \( \mathrm{NH_3} \): trigonal pyramidal (3 bonds + 1 lone pair)
- \( \mathrm{H_2O} \): bent or angular (2 bonds + 2 lone pairs)
Step 2: Conclusion
Only \( \mathrm{BF_3} \) has trigonal planar geometry.