To identify the molecule with a trigonal planar shape, we must first understand molecular geometry. Molecular shape is dictated by the arrangement of atoms around the central atom, governed by electron-pair repulsion principles as described by VSEPR (Valence Shell Electron Pair Repulsion) theory.
VSEPR Theory: The spatial arrangement of valence electron pairs around a central atom minimizes repulsion. This arrangement determines the molecule's shape.
| 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 |
Analysis of each molecule's geometry:
Consequently, the molecule with the trigonal planar shape is \( \mathrm{BF_3} \).