please help with problem 15 - 7

OLCI P15-75 A first-order, heterogeneous, irreversible reaction is taking place within a catalyst pore that is plate! with platinum entirely along the length of the pore (Figure P15-7). The reactant concentration at the plane of symmetry (1..., equal distance from the pore mouth) of the pore is equal to one-tenth the com centration at the pore mouth. The concentration at the pore mouth is 0.001 mol/dm, the pore lengh (2L) is 2 x 10 cm, and the diffusion coefficient is 0.1 cm/s. (a) Derive an equation for the effectiveness factor. (b) What is the concentration of reactant at L/2? CA nor CA 0 0 ZO Figure P15-78 Single catalyst pore. (e) To what length should the pore length be reduced if the effectiveness factor is to be 0.8? (d) If the catalyst support were not yet plated with platinum, how would you suggest the catalyst sup- port be plated after the pore length, L, had been reduced by grinding? P15-8. A first-order reaction is taking place inside a monti 101 ate the length of the tail. The rate of reac- mol/s. d) Compare your answer with the average tail length of 41 pm. What are possible sources of error? P15-7, A first-order , heterogeneous, irreversible reaction is taking place within a catalyst pore that is plated with platinum entirely along the length of the pore (Figure P15-78). The reactant concentration at the plane of symmetry (i.e., equal distance from the pore mouth) of the pore is equal to one-tenth the con- centration at the pore mouth. The concentration at the pore mouth is 0.001 mol/dm>, the pore length (21) is 2 x 10 cm, and the diffusion coefficient is 0.1 cm/s. (a) Derive an equation for the effectiveness factor. (b) What is the concentration of reactant at L/2