An acid is a proton donor; a base is a proton acceptor. are substances that respectively increase concentrations of the characteristic cation and the characteristic anion of the , and here the solvent is water.
Now sulfuric acid is diprotic in water. We can separate out 2 successive acid base reactions:
In each reaction, the base, the proton acceptor, is water.
You will note that acid/base reactions usually designate water as the solvent. Chemists can use other solvent systems, but at this level (?) stick to the water-based (hydroxide and hydronium) ion definition.
As far as anyone knows, the hydronium or acidium species,