$4.$ Kinetics experiments were performed with several different sizes of spherical catalyst pellets. In all experiments, the bulk concentration of A was fixed at $0\mathrm{.}025$ mol$/$L$,$ with A fed through the catalyst bed at $350\backslash$deg C$.$ The reaction is suspected to be first order, of the form A products. Data are shown in the table, below:do$.$mm$1\mathrm{.}0$Jobs, mol L$\text{'}5-110\mathrm{.}55\mathrm{.}04\mathrm{.}8201\mathrm{.}5$a$)$ Determine the rate constant for the intrinsic reaction and the effective diffusivity based on the $1$ mm and $20$ mm particles. State all assumptions.b$)$ Determine the effectiveness factor and Thiele modulus for each particle.Numerical answers: kx$=4395-1$De $=9\mathrm{.}13$ x $10-5$ m$/$sn $(1$mm$)=0\mathrm{.}96\text{'}(1$mm$)=0\mathrm{.}365$