To solve this question, we need to match the chemical reactions from List I with the appropriate catalysts or reactants given in List II. Let's analyze each reaction:
- Reaction A: \(N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)\)
This is the Haber process, which is used to synthesize ammonia. The catalyst typically used in this reaction is iron oxide with potassium and alumina (represented by \(Fe_xO_y + K_2O + Al_2O_3\)).
Match: (A) - (III). - Reaction B: \(CO(g) + 3H_2(g) \rightarrow CH_4(g) + H_2O(g)\)
This is the methanation process, which uses nickel as the catalyst.
Match: (B) - (IV). - Reaction C: \(CO(g) + H_2(g) \rightarrow HCHO(g)\)
This reaction does not correspond to common industrial processes but based on the options given, we assume a match with copper (Cu), often used in various carbonylation reactions.
Match: (C) - (I). - Reaction D: \(CO(g) + 2H_2(g) \rightarrow CH_3OH(g)\)
This reaction is for the production of methanol, and the widely used catalyst is \(Cu/ZnO - Cr_2O_3\).
Match: (D) - (II).
Therefore, the correct answer is:
(A) - (III), (B) - (IV), (C) - (I), (D) - (II)