The answer is (C): organic carbon.
Explanation for each option:
(A) Usable nitrogen: While nitrogen is essential for the synthesis of proteins and nucleic acids, heterotrophs primarily rely on organic carbon for energy and growth. Nitrogen is more relevant to the nitrogen cycle and the needs of plants and some microorganisms.
(B) Energy: Heterotrophs do require energy, but they obtain it from organic carbon sources. The depletion of energy itself is not the direct issue; rather, it's the depletion of the organic carbon sources that provide this energy.
(C) Organic carbon: Heterotrophs depend on organic carbon compounds as their primary source of energy and carbon for growth. If these sources were depleted, heterotrophs would indeed starve to death, as they cannot produce their own organic carbon.
(D) Oxygen: While oxygen is crucial for aerobic respiration in many heterotrophs, it is not the primary resource that would be depleted by heterotrophs themselves. Oxygen is more related to the process of respiration rather than being a direct source of energy or carbon.
(E) Water: Water is essential for all life forms, but it is not the primary resource that heterotrophs would deplete. Water is a solvent and medium for biochemical reactions, not a direct source of energy or carbon.
In summary, heterotrophs rely on organic carbon for their energy and carbon needs, and without it, they would be unable to survive.