The heterogeneous, catalytic, irreversible, first$-$order, isothermal gas phase reaction:

$AB$

occurs in a CSTR and the measured $($observed$)$ reaction rate of $2{10}^{-3}mol{g}_{\text{c}\text{a}\text{t}}^{-1}{s}^{-1}$ is independent of the

reactor stirring rate. The feed stream is pure A flowing at $0\mathrm{.}1mol{s}^{-1}$ with a concentration of $A$ of $2{10}^{-5}$

$molc{m}^{-3}.$ The reactor contains $10g$ of catalyst pellets, in spheres of $0\mathrm{.}03cm$ radius with a specific surface

area of $120m^2{g}^{-1}$ and a density of $2\mathrm{.}2gc{m}^{-3}.$ The effective diffusion coefficient in the pellets is ${10}^{-3}c{m}^2$

$s^{-1}.$ What is the total effectiveness factor for this reaction? To solve this problem, I would recommend first

answering the following parts:

Is this a porous catalyst?

What can you say about the concentration of $A$ at the surface $(C_{A,\text{s}\text{u}\text{r}\text{f}\text{a}\text{c}\text{e}}),$ before having to do any

calculations $($i$.$e$.,$ not a specific number$)?$

What is the design equation you would use to solve for conversion in the CSTR$?$

$$ What is the outlet $C_A?$ Reactor $C_A?C_{A,\text{s}\text{u}\text{r}\text{f}\text{a}\text{c}\text{e}}?$

What is the internal effectiveness factor in terms of observed rate?

What is the internal effectiveness factor under strong internal diffusion limitations$?$

o What is the Thiele modulus for this reaction?

What is the value of $k($rate constant$)?$ Assume that using the catalyst density given can convert

between $k$ and $k\text{'}.$

What is the internal effectiveness factor?