Final answer:
Without kinetics data or the rate of change in absorbance, it is not possible to determine the time it takes for the absorbance to drop from 0.600 to 0.075. If such data were available, the time could be calculated using the rate of absorbance change.
Step-by-step explanation:
To calculate the minutes it takes for the absorbance to drop from 0.600 to 0.075, more information is needed, such as the kinetics of the reaction, which could include the reaction order and rate constants. Without this data, we cannot provide a specific calculation. However, if we had information on the rate of change in absorbance per minute, we could then determine the time by dividing the change in absorbance by the rate of absorbance change per minute. Assuming a first-order reaction and using Beer's law alongside the provided molar absorptivity, one could theoretically derive the concentration of the substance at specific time intervals and then calculate the time needed for the absorbance to reach a particular value.