When a solution is heated, all of the molecules will not attain the same kinetic energy ( they have different kinetic energies) because each and every molecule will have different rate of motion in different directions with different rate of collision and all these collisions are inelastic collisions.(elastic collision means there is no net loss in kinetic energy in the system as a result of the collision).
But generally we can calculate the average kinetic energy only. It is difficult to calculate the individual molecule kinetic energy. So, each and every molecule will have different kinetic energy but their average kinetic energy is only measurable.
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