What is the volume of a plug flow reactor with an elementary gas-phase reaction A⇒ 3R and a lesired conversion of 85%? The feed consists of 50% A and 50% inerts at 190 °C and 4 atm and -nters at 0.4 mol/s. The reaction rate constant is 0.01 s¹ at 190°C. Assume no drop in pressure nd isothermal operation and ideal gas laws.

For the gas-phase reaction A = 2B operated at 1.0 bar: Initially, the reactor contains only A, at 1.0 mol. a. Prove that the reaction coordinate (moles of A consumed) equals the following: (see attactched image) b. Make a plot of the reaction coordinate versus temperature between 200 and 400 K for exothermic reaction conditions, making use of the van’t Hoff Equation. Data: Ka = 5.0 at 298 K, ΔHrxn0 = -50.0 kJ mol-1. Neglect the ΔCp term. c. Repeat Part b for endothermic conditions. Ka = 5.0 at 298 K, ΔHrxn0 = +50.0 kJ mol-1. Neglect the ΔCp term. d. If the reaction described in part b (i.e., exothermic conditions) were operated in a simple batch reactor, would the reaction mixture’s temperature increase, decrease, or remain constant as the reaction progressed? To maximize conversion, would you recommend that heat be added to, or removed from, the reactor?

Q (6) An aqueous phase reversible reaction RS is carried out between 0°C and 100°C. free energy of reaction and heat of reaction at 298K is, AH, 298K-20000 cal/gm mole A298K-3510 cal/gm mole Calculate: (i)Equilibrium constant at both temperatures (0°C and 100°C) (ii)Equilibrium conversiont at both temperatures (0°C and 100°C)C) (iii) In the above problem, If the fractional conversion needs to be 80% or more, what should be minimum temperature level in the reactor? (Value of universal gas constant R= 1.987 cal/gm mole.)