At 100°c pure gaseous a reacts with stoichiometry 2a batch reactor as follows: p in a constant volume pa (atm) t (sec) 0 1 2 0.38 0.18 40 0.08 0.04 60 80 (a) by plotting the appropriate graph, show that the reaction follows first order kinetics and find the rate constant for the reaction. graph paper is available. [10 marks] (b) what size plug flow reactor operating at 100°c and 1 atm can treat 100 kmols a h1 to obtain a 95% conversion of a? use the rate constant determined in part (a) [10 marks] (c) comment on the answer obtained from (b). is this volume feasible? what could be done to reduce the reactor volume?