A bimolecular reaction can be kinetically first order in behavior if one of the reactants is taken in such a large excess that its concentration may hardly change.
Example:
CH3COOC2H5 + H2O → H+ CH3COOH + C2H5OH
Rate = K[CH3COOC2H5][H2O]
If H2O is in large excess, then:
Rate = K'[CH3COOC2H5]
where K' = K[H2O]