A synthesis reaction is one in which a product is made from two or mote reactants.
The term reaction mechanism refers to the sequence of steps that has to be involved as a reactant is converted to products.
The process of converting ethyne to carboxyllic acid passes through a six step process which includes the oxidation of the substrate using permanganate in basic solution.
The detailed mechanism for the synthesis of a carboxylic acid from ethyne is shown in the image attached to this answer.
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