Is purifying a rug by wiping it three times with a cloth moistened with pure water correct, and what is the ruling concerning the electric iron and the clothes that were ironed with it after the incident, and what about the things that the questioner touched without knowing whether her hand was contaminated with urine or not?

Purifying a defiled mattress is not achieved by wiping but by washing with water until the impurity is removed. Passing an electric iron over a defiled mattress does not purify it; rather, it transfers the impurity to the iron. However, the heat of the iron dries the impure water, removing the physical substance of the impurity, but its ritual impurity remains. To purify the iron, the bottom part that came into contact with the impurity should be washed with water. If there is a concern that washing might damage it, then wiping it with water is sufficient. As for doubt about the hand touching impurity, the hand is not ruled impure because the default state is purity, and certainty is not removed by doubt.