Which process allows the transport of liquids into cells?

The process of pinocytosis is specifically responsible for the transport of liquids into cells. It is a form of endocytosis, where the cell membrane invaginates to engulf extracellular fluid and small solutes, forming a vesicle that brings these materials inside the cell. This mechanism is crucial for cells to absorb nutrients and other small molecules present in their environment.

During pinocytosis, the cell essentially "drinks" the liquid, which distinguishes it from phagocytosis, a process that engulfs larger particles or cells, and exocytosis, which is the process of expelling materials from the cell. Osmotic processes, often confused with osmodialysis, involve the movement of water across a semi-permeable membrane but do not represent a mechanism for cellular uptake of liquid in the same context as pinocytosis. Thus, pinocytosis is the correct answer as it directly pertains to the transport of liquids into cells.