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Let us match each reaction with its industrial catalyst:
(A) $$N_2(g) + 3H_2(g) \rightarrow 2NH_3(g)$$
This is the Haber process for ammonia synthesis. The catalyst used is finely divided iron with promoters potassium oxide and aluminium oxide:
$$\text{Catalyst: } Fe_xO_y + K_2O + Al_2O_3 \rightarrow \textbf{(III)}$$
(B) $$CO(g) + 3H_2(g) \rightarrow CH_4(g) + H_2O(g)$$
This is the methanation reaction (Sabatier reaction). The catalyst used is nickel:
$$\text{Catalyst: Ni} \rightarrow \textbf{(IV)}$$
(C) $$CO(g) + H_2(g) \rightarrow HCHO(g)$$
The synthesis of formaldehyde from synthesis gas uses a copper catalyst:
$$\text{Catalyst: Cu} \rightarrow \textbf{(I)}$$
(D) $$CO(g) + 2H_2(g) \rightarrow CH_3OH(g)$$
This is methanol synthesis. The catalyst used is a mixture of copper, zinc oxide, and chromium oxide:
$$\text{Catalyst: Cu/ZnO-Cr}_2\text{O}_3 \rightarrow \textbf{(II)}$$
The correct matching is: A - III, B - IV, C - I, D - II.
Therefore, the correct answer is Option C.
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