When there is a batch reactor which can remove conversion of organic matters by $95\%$ by first$-$order reaction while the rate constant, k is $0\mathrm{.}4$ hr$-1,$ and a plug flow reactor which can achieve the same rate of removal of organic matter at the same rate constant. Calculate the residence time for each reactor in hours and compare the two numbers.Are they the same or different? If so or if not, why do you think it is$?$