Final answer:
The statement that ATP synthesized inside the mitochondria is transported into the cytosol through an ATP/ADP antiporter is incorrect. The correct protein involved in the transport of ATP out of the mitochondria and ADP into the mitochondria is called ATP/ADP translocase.
Step-by-step explanation:
ATP synthesized inside the mitochondria is indeed transported into the cytosol, but not through an ATP/ADP antiporter; instead, this process involves a different type of protein known as the ATP/ADP translocase, which specifically facilitates the transport of ATP out of the mitochondria and ADP into the mitochondria. This mechanism is vital for maintaining the cellular ATP supply, as most of the ATP generation occurs within the mitochondria through a process known as oxidative phosphorylation. The ATP/ADP translocase works against a concentration gradient, driven by the electrical potential across the mitochondrial membrane, effectively functioning as a gated channel that operates through a binding-exchange mechanism, ensuring a continuous supply of ATP to the cytosol where it can be utilized for various cellular processes.
The original question is False due to the incorrect terminology used; the correct term is ATP/ADP translocase and not an antiporter. The ATP/ADP translocase plays a significant role in cellular respiration, specifically in the movement of ATP, synthesized by ATP synthase, from the mitochondrial inner membrane into the cytosol.