The elementary, irreversible gas-phase reaction A+B-> 2 P is carried out non- isothermally in a PFR that has no heat exchanger around it. An equimolar feed consisting of A and B enters the reactor at 300 K, with a total volumetric flowrate of 2 L min and an initial concentration of A of 0.1 mol L-. The temperature changes during the reaction according to: T-300 + 200 X, as determined using an energy balance and the appropriate thermodynamic parameters, and where T is the temperature in Kelvin and X is conversion, expressed as a decimal. The initial rate constant at 300 K is 0.01 in the mol, L, min system for the given reaction. Calculate the PFR volume (in cubic decimeters, to one decimal place) that is needed to achieve 93% conversion. Assume that the value of the activation energy divided by the gas constant is 5000 K.

The elementary, irreversible gas-phase reaction A+B2P is carried out nonisothermally in a PFR that has no heat exchanger around it. An equimolar feed consisting of A and B enters the reactor at 300K, with a total volumetric flowrate of 2Lmin1 and an initial concentration of A of 0.1molL1. The temperature changes during the reaction according to: T=300+200X, as determined using an energy balance and the appropriate thermodynamic parameters, and where T is the temperature in Kelvin and X is conversion, expressed as a decimal. The initial rate constant at 300K is 0.01 in the mol, L, min system for the given reaction. Calculate the PFR volume (in cubic decimeters, to one decimal place) that is needed to achieve 93% conversion. Assume that the value of the activation energy divided by the gas constant is 5000K