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QUESTION 1: (25 Marks) The first-order heterogeneous gas phase reaction, A 2B + 5C is carried out in a packed bed reactor (ID - 25 cm) using CuO TiO2 sphere catalyst pellets with a uniform diameter of 8 mm. Pure A was fed to the reactor at a volumetric flow rate of 5 m/s, temperature of 300 C. The density of the catalyst pellet (pe) and the porosity of the catalyst are 1500 g/m' and 0.35, respectively. The measured rate constant was found as k'- 8.0 x 10 m/m.s. The mass coefficient (k) and effective diffusivity (D.) were found as 680 m/s and 5.8 * 10 m/s, respectively. The specific surface area of the catalyst, S. - 180 mlg. The engineer has confirmed the presence of external mass transfer limitation in the process, and the internal mass transfer limitation is yet to be confirmed. (a) Evaluate if the internal mass transfer limits the reaction above. (10 Marks) (b) Calculate the weight of the catalyst used in packed-bed reactor (PBR) to achieve 87% conversion by considering the conditions in the question above and part (a). (15 Marks)