1. Balanced Equation of the Reaction is as follow,
2 HgO ---------> 2 Hg + O₂
2. The arrow labelled as a indicate
ACTIVATION ENERGY. It is the minimum amount of energy required by the reactants to convert into products. This energy is obtained by providing heat to the system.
3. Transition State or Activated Complex:
I am trying to draw possible transition state. It could be the correct one and can be confirmed by theoretical computational study.
Hg------O------O------Hg
Here the dashed lines mean that the bond between Hg and O are breaking and their length is increasing and the dashed line between oxygen atoms depict that the bond length is decreasing and bond formation is taking place.
4. This reaction is
Endothermic because the energy of reactants is smaller than the energy of products. So, the difference in energies is obtained by providing heat to the system.
Note: I have answered these questions with respect to following energy profile.