We have compartmentalized aqueous reagents and indicator species within the micrometer-sized water droplets of mixed high internal phase emulsions (HIPEs). Mass transport of the reagents across the micrometer-thickness oil films separating the water droplets followed by reaction with the indicator species produces a visible color change which provides a simple method to measure the trapping times of the reagents. Trapping times have been measured for an uncharged reagent (hydrogen peroxide) and charged reagents (HCl and NaClO) in different HIPEs. The trapping times are discussed in terms of a model in which the transferring species partitions from the water to the oil film followed by a rate-determining step of diffusion across the oil film. Rather surprisingly, it is found that trapping times are of similar orders of magnitude for both uncharged and charged aqueous species transferring across liquid oil films.