Sulfuric acid dissolves and completely dissociates in water and a solvation sphere of water molecules forms around the ions. This solute-solvent interaction and makes the beaker warm.

This solute-solvent interaction will release energy into the surroundings and makes the beaker warm.

Explanation:

The sulfuric acid is dissolved in water and it formed a solvation sphere of water molecules around the sulphur ions. So on stirring the beaker is getting warm. As the beaker is getting warm, this means the reaction occuring between sulfuric acid and water is exothermic reaction.

And so the energy is released into the surroundings. The energy released came from the breaking of bonds of sulfuric acid, as the acid is getting dissociated in water.

So, the release of energy in the surroundings lead to the warming of the beaker. Hence, the solute-solvent interaction release energy into the surroundings.

the ratio of the conjugate base to the acid required to attain the desired ph.