Step 1: Understanding the Concept:
Biological nitrogen fixation is the process by which specialized diazotrophic microorganisms reduce atmospheric dinitrogen (\( \text{N}_2 \)) into two molecules of ammonia (\( \text{NH}_3 \)).
This conversion is catalyzed by the nitrogenase enzyme complex, which consists of two distinct, highly conserved proteins working in tandem: the Fe-protein (dinitrogenase reductase) and the MoFe-protein (dinitrogenase).
Step 2: Detailed Explanation:
1. Analysis of Assertion (A): Nitrogenase is kinetics-limited and exhibits an exceptionally low turnover number (\( k_{\text{cat}} \)), typically ranging from only \( 5 \text{ to } 10 \text{ s}^{-1} \).
This means a single enzyme molecule can only process a few molecules of nitrogen per second, making it incredibly sluggish compared to typical metabolic enzymes.
To compensate, diazotrophs must synthesize large quantities of nitrogenase, sometimes accounting for up to \( 10\% \text{ to } 20\% \) of their total cellular protein. The assertion is true.
2. Analysis of Reason (R): The biochemical explanation for this sluggishness lies in the mechanism of electron transfer.
To reduce \( \text{N}_2 \), the nitrogenase complex requires a total of eight electrons and sixteen ATP molecules:
\[ \text{N}_2 + 8\text{H}^+ + 8e^- + 16\text{ATP} \rightarrow 2\text{NH}_3 + \text{H}_2 + 16\text{ADP} + 16\text{P}_i \]
Each electron transfer event is a multi-step cycle:
- The Fe-protein binds two ATP molecules and is reduced by an external donor (ferredoxin or flavodoxin).
- The reduced Fe-protein transiently associates with the MoFe-protein.
- ATP hydrolysis occurs, triggering a conformational change that drives the transfer of a single electron from the Fe-protein to the MoFe-protein.
- Crucially, the two proteins must completely dissociate from each other to allow the Fe-protein to be re-reduced and re-loaded with ATP.
Because this association, electron transfer, and dissociation cycle must occur sequentially eight times to deliver the eight electrons required for one round of nitrogen reduction, the overall reaction rate is heavily restricted.
Therefore, the slow, repetitive nature of these catalytic cycles directly explains why the enzyme is kinetically sluggish.
Step 3: Final Answer:
Both Assertion (A) and Reason (R) are true, and Reason (R) is the correct biochemical explanation of Assertion (A).