To determine which gas 'X' produces a brown precipitate with Nessler's reagent, we will analyze the reagent's reaction and evaluate the given options.
Nessler's Reagent Reaction:
Nessler's reagent is used for the detection of ammonia (\(\text{NH}_3\)). The reaction of ammonia gas with Nessler's reagent yields a brown precipitate of mercuric amido-iodide, signifying the presence of ammonia.
The reaction equation is:
\(\text{NH}_3 + 2\text{K}_2\text{HgI}_4 + 3\text{KOH} \rightarrow \text{HgO}\cdot\text{Hg(NH}_2\text{I}) + 7\text{KI} + 2\text{H}_2\text{O}\)
Option Analysis:
Consequently, the gas that reacts with Nessler's reagent to form a brown precipitate is \(\text{NH}_3\).
Conclusion:
Gas 'X' that yields a brown precipitate with Nessler's reagent is identified as \(\text{NH}_3\), which is ammonia.
Kjeldahl's method cannot be used for the estimation of nitrogen in which compound? 
In the group analysis of cations, Ba$^{2+}$ & Ca$^{2+}$ are precipitated respectively as