A complex is represented as `CoCl_(3)Xnh_(3)` . Its `0.1` molal solution in water `DeltaT_(f)=0.588 K. K_(f)` for `H_(2)O` is `1.86K" molality"^(-1)`. Assuming `100%` ionisation of complex and co`-` ordination number of `Co` is six calculate formula of complex.

Explanation

To solve the problem, we need to determine the formula of the complex represented as \( \text{CoCl}_3\text{XNH}_3 \) given the data about its molal solution and the freezing point depression.

### Step-by-step Solution:

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