Reactant A decomposes by first order kinetics to form B$.$ The stoichiometry of the reaction is unknown. The reaction is run in two reactors: one is a constant volume batch reactor and the other is a constant pressure batch reactor $($volume can change$).$ Pure A is added to the constant volume reactor, and $50\%$ conversion is achieved after $138\mathrm{.}6$ minutes. $80\%$ A and $20\%$ inerts are added to the constant pressure reactor. The conversion in this reactor is unknown, but after the same time $(138\mathrm{.}6$ minutes$)$ the volume has increased by $20\%.$ a$)$ What is the conversion in the $2$nd reactor? $($X$=0\mathrm{.}5)$ b$)$ What is e$?($e $=0\mathrm{.}4)$ c$)$ What is the stoichiometric coefficient of B$?($b$=1\mathrm{.}5)$