How activated carbon works
Carbon removes organic molecules by adsorption onto an enormous internal pore surface. Capacity is finite, and an exhausted filter looks exactly like a fresh one.
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Water containing chlorine, pesticides and taste compounds enters a bed of activated carbon granules. Each granule has an internal pore network with a surface area around a thousand square metres per gram. Organic molecules stick to those pore surfaces and are removed from the water. Dissolved salts, nitrate and metals in solution pass through unaffected. Once the pore surfaces are occupied, the filter stops working, with no visible change.