The exact chemical reaction is missing from the provided text. However, the formation of a mixture of two different carboxylic acids ($RCOOH$ and $RCH_2COOH$) typically occurs during the rigorous oxidation of ketones (following Popoff's rule, where the carbonyl group stays with the smaller alkyl group) or the oxidative cleavage of unsymmetrical alkynes/alkenes. Without the reactant, the exact mechanism cannot be specified.