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In the titration of iron(II) solution with potassium dichromate, the beaker containing the iron(II) solution should be dry to ensure accurate measurement of the volume of the solution. This is because any water present in the beaker would dilute the iron(II) solution, leading to an inaccurate determination of its concentration. On the other hand, the conical flask used for the titration does not need to be dry because the volume of the potassium dichromate solution is measured using a burette, and the volume of the solution added from the burette is precisely controlled.