Final answer:
The false statement about diluted solutions is that the concentration of solute increases; actually, it decreases. Correct statements are that the volume increases, moles of solute stay constant, and solute concentration decreases.
Step-by-step explanation:
When a solution is diluted, the false statement among the provided options is: a) The concentration of solute increases. In fact, during dilution, the concentration of the solute decreases because the volume of the solution increases while the number of moles of solute remains constant. The correct statements are that b) the volume of the solution increases, c) the number of moles of solute remains constant, and d) the concentration of the solute decreases. The process of dilution involves the addition of solvent, which leads to a decrease in the solute concentration without changing the amount of solute present.