19.5 g of `CH_(2)FCOOH` is dissolved in 500 g of water. The depression in the freezing point observed is `1.0^(@)C`. Calculate the van't Hoff factor and dissociation constant of fluoroacetic acid. `K_(f)` for water is `"1.86 K kg mol"^(-1)`.

Explanation

To solve the problem, we will go through the following steps:

### Step 1: Calculate the molar mass of fluoroacetic acid (CH₂FCOOH)
The molecular formula of fluoroacetic acid is CH₂FCOOH. We can calculate its molar mass by adding the atomic masses of its constituent atoms:
- Carbon (C): 12.01 g/mol (2 atoms)
- Hydrogen (H): 1.008 g/mol (2 atoms)
- Fluorine (F): 19.00 g/mol (1 atom)
- Oxygen (O): 16.00 g/mol (2 atoms)
...