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An irreversible elemental reaction A 2P It is carried out in an adiabatic packed bedreactor. The catalyst particles are spherical and a regime prevails in which diffusion within the particles is the limiting process. However, the temperature gradients within the particles are negligible. Additionally, heat and mass transfer resistances in the gasfilm around the particles can be ruled out. Radial concentration and temperature gradients have been found to be negligible; so to consider are the axial gradients. No significant effects of pressure drop in the bed are observed. Additional data is shown in the table below. a) Develop an expression to compute the conversion of A, X, as a function of spacetime, t, in the reactor. b) Compute a value of space-time for which a 95% conversion is achieved. Data: k = 1.0x102 m/(kgs) at 700 K Ex=80,000 J/mol Pc=1,300 kg/m (catalyst density) R= 1.5x10-3 m (particle radius) De, A= 0.1(T / 298 K)1.75 x 10-4 m/s Pb= 1,500 kg/m3 (bed density) AH--150x103J/mol (enthalpy of reaction) Cp= 1.25x103 J(kg*K) (heat capacity) inlet gas composition and conditions: Pure A isfeed Po= 3 atm To=473K Po= 3.5kg/m3