[The futuristic]

Reaction between aluminium hydroxide and sulphuric acid to produce aluminium sulphate, does need energy from sulphuric acid dilution to kick start this reaction or merely no need energy to kick start since acid and base is exothermic.
If does need kick start energy, how to calculate this energy?

[Borek]

You mean activation energy? In theory it probably can be calculated using QM but it sounds like quite a difficult problem to me.

Such things in general are best measured.

[Corribus]

Reaction between aluminium hydroxide and sulphuric acid to produce aluminium sulphate, does need energy from sulphuric acid dilution to kick start this reaction or merely no need energy to kick start since acid and base is exothermic.
If does need kick start energy, how to calculate this energy?

With some rare exceptions, there is virtually always an activation energy. It may be calculated via various quantum chemical calculations - although you'll need specialized software to do it with any degree of accuracy - or you can determine it experimentally using, e.g., an Arrhenius plot.