Final answer:
The charcoal filter in the xenon administration unit absorbs impurities like organic particulates and inorganic metal ions through adsorption and absorption.
Step-by-step explanation:
The purpose of the charcoal filter in the xenon administration unit is primarily to absorb impurities such as organic particulates and inorganic metal ions that may be present. Charcoal, especially when activated, is highly porous and has a large surface area, making it extremely effective for this purpose. The process by which charcoal removes these contaminants is mostly due to adsorption, where contaminant molecules adhere to the surface of the charcoal, and absorption, where they may enter the pores of the charcoal.