Consider a reversible elementary aqueous reaction: A R. It is fo- und that the reaction has the standard Gibbs free energy (AG) of - 4406 J/mol and standard enthalpy of reaction (AHr) of - 41570 J/mol at 25C. The specific heats (cp )of both A and R are constant over wide range of temperature and the specific heats (cp) of A and R is 1000 J/molC. Note that this is 1st oder reversible reaction and the given initial conditions are: CA0=1 mol/L and CR0=0 mol/L in the feed stream and and FA0=100 mol/min. a) Sketch the equilibrium conversion vs. temperature curve of the re- action between 0C and 100C. What restrictions should be placed on the reactor operating isothermally if we are to obtain a conversion of % 50 or higher? b) In kinetic experiment in an isothermal batch reactor, the reaction took 1 min to get 20% conversion at 80C. The reaction time became 16 min at 20C to get the same conversion in the same batch reactor. Assuming an Arrhenius temperature dependency of the rate cons- tants, find the reaction rate expression as a function of temperature c)Prepare the conversion-temperature chart with reaction rate as pa- rameter(Reaction rate: (-rA=0.001); (-rA=0.005); (-rA=0.01); (- rA=0.02); (-rA=0.05); (-rA=0.1)) d) Sketch the optimal temperature progression for the plug flow re- actor. Calculate the volume needed for 75% conversion. Let the maxi- mum allowable temperature be 80C e) You are to run the reaction in an adiabatic plug flow reactor. Due to the limited budget, the allowable operating temperature ranges from 0C to 40C. Calculate the volume of the plug flow reactor to get 60% conversion. f) You are to run the reaction in an adiabatic mixed flow reactor with CA0=1 mol/L and FA0=100 mol/min. Find the minimum volume of the reactor to get 60% conversion. g) Suppose that the feed solution is at 40C. How much of heat do we need to remove from the mixed flow reactor if we operate the reactor under the conditions described in (f)