Al4C3 --> ? --> CH3Cl --> C2H6 --> C2H5Cl --> C2H5OH --> CH3COH --> CH3COOH

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Al4C3 is aluminum carbide.

Aluminum carbide can react with water to produce methane gas (CH4) and aluminum hydroxide (Al(OH)3) in an acidic solution. This reaction is represented as:

Al4C3 + 12H2O -> 4Al(OH)3 + 3CH4

Methane gas can react with chlorine gas (Cl2) to produce methyl chloride (CH3Cl). This reaction is represented as:

CH4 + Cl2 -> CH3Cl + HCl

Methyl chloride can be further chlorinated to form ethane (C2H6), in a free radical halogenation reaction. This reaction is represented as:

CH3Cl + Cl2 -> C2H6 + HCl

Ethane can react with chlorine gas to produce ethyl chloride (C2H5Cl) in a similar free radical halogenation reaction. The reaction is:

C2H6 + Cl2 -> C2H5Cl + HCl

Ethyl chloride can undergo a substitution reaction with hydroxide ions (OH-) to form ethanol (C2H5OH). This reaction is represented as:

C2H5Cl + OH- -> C2H5OH + Cl-

Ethanol can be oxidized to acetaldehyde (CH3COH) by the action of an oxidizing agent like potassium dichromate and sulfuric acid. The reaction is:

C2H5OH + [O] -> CH3COH + H2O

Finally, acetaldehyde can be further oxidized to acetic acid (CH3COOH) using an oxidizing agent like potassium dichromate and sulfuric acid. The reaction is:

CH3COH + [O] -> CH3COOH

Therefore, the complete reaction pathway is:
Al4C3 --> CH3Cl --> C2H6 --> C2H5Cl --> C2H5OH --> CH3COH --> CH3COOH