A weak electrolyte XY is 5% dissociated in water. What is the freezing point of a 0.01 molal aqueous solution of XY ? The cryoscopic constant of water is 1.86 K/m.

Explanation

To solve the problem, we need to determine the freezing point of a 0.01 molal aqueous solution of the weak electrolyte XY, which is 5% dissociated in water. We'll use the cryoscopic constant of water (Kf = 1.86 K/m) and the formula for freezing point depression.

### Step-by-step Solution:

1. **Determine the degree of dissociation (α)**:
Since the electrolyte XY is 5% dissociated, we can express α as:
\[
\alpha = \frac{5}{100} = 0.05
...