If the freezing point of a `0.01` molal aqueous solution of a cobalt (III) chloride-ammonia complex (which behaves as a strong electrolyte) is `-0.0558^(@)C`, the number of chloride (s) in the coordination sphere of the complex if `[K_(f)` of water `=1.86 K kg mol^(-1)]`

Explanation

To solve the problem, we need to determine the number of chloride ions in the coordination sphere of the cobalt (III) chloride-ammonia complex based on the given freezing point depression of the solution.

### Step-by-Step Solution:

1. **Understand the Freezing Point Depression Formula**:
The freezing point depression (ΔTf) is given by the formula:
\[
\Delta T_f = i \cdot K_f \cdot m
...