Give balanced equations for the following conversions :

(a) Ammonia to nitrogen using an acidic gas.

(b) Ammonia to brown gas.

(c) Ammonia to nitrogen trichloride

(d) Ammonia solution to an amphoteric hydroxide

(e) A nitride of a trivalent metal to ammonia

(f) Lead oxide to lead

(a) Ammonia to nitrogen using an acidic gas :

8NH₃ [excess] + 3Cl₂ ⟶ 6NH₄Cl + N₂

(b) Ammonia to brown gas:

$4\text{NH}$3 + 5\text{O}2 \xrightarrow[800 \degree \text{C}]{\text{Pt.}} \text{4NO} + \text{6H}_\text{2}\text{O} + \Delta

2NO + O₂ ⟶ 2NO₂ [brown gas]

(c) Ammonia to nitrogen trichloride

NH₃ + 3Cl₂ [excess] ⟶ 3HCl + NCl₃

(d) Ammonia solution to an amphoteric hydroxide :

AlCl₃ + 3NH₄OH ⟶ 3NH₄Cl + Al(OH)₃

(e) A nitride of a trivalent metal to ammonia:

AlN + 3H₂O ⟶ Al(OH)₃ + NH₃ ↑

(f) Lead oxide to lead

2NH₃ + 3PbO ⟶ 3Pb + 3H₂O + N₂ [g]