Step 1: Apply the concept of enthalpy change.
In the dissociation of \( \text{H}_2 \), the heat of atomisation is half of the given value of \( \Delta H \).
Step 2: Conclusion.
The heat of atomisation of H is \( 81 \, \text{Kcal} \).
Final Answer:
\[
\boxed{81 \, \text{Kcal}}
\]