Step 1: Understanding the Concept:
Nitrification is a biological process that converts ammonium to nitrate, driven by specific groups of specialized soil bacteria.
Step 2: Detailed Explanation:
Statement (I) is correct because nitrifying bacteria (such as Nitrosomonas and Nitrobacter) are obligate autotrophs (they obtain carbon from \(\text{CO}_2\) and energy from inorganic nitrogen oxidation) and obligate aerobes (they require free gaseous \(\text{O}_2\) to act as an electron acceptor).
Statement (II) is correct because the biological oxidation of ammonium to nitrate is strictly aerobic:
\[ \text{NH}_4^+ + 5\text{O}_2 \rightarrow \text{NO}_2^- + \text{H}_2\text{O} + 2\text{H}^+ \]
\[ \text{NO}_2^- + 0.5\text{O}_2 \rightarrow \text{NO}_3^- \]
Because molecular oxygen (\(\text{O}_2\)) is required at both stages, no nitrate can be produced from ammonium under anaerobic (oxygen-depleted) conditions.
Therefore, both statements are true.
Step 3: Final Answer:
Both Statement (I) and Statement (II) are correct.