A Lewis acid is a substance that can accept a pair of electrons. Let's analyze the options:
1. Step 1: Understand Lewis acids.
- AlCl$_3$: Aluminum chloride acts as a Lewis acid because aluminum has an incomplete octet and can accept electron pairs from a donor, such as a lone pair of electrons from another molecule. Therefore, AlCl$_3$ is a Lewis acid.
- NH$_3$: Ammonia has a lone pair of electrons on nitrogen, making it a Lewis base, not an acid.
- OH$^-$: Hydroxide is a Lewis base because it can donate a lone pair of electrons, not accept them.
- H$_2$O: Water has lone pairs on oxygen, making it a Lewis base, not an acid.
Thus, the correct Lewis acid is AlCl$_3$.