Problem $2(14$ points$).$ It is required to design a fixed bed reactor in which the following reaction

is carried out in the gas phase: $A+E2C.$ The reaction is first order with respect to A and

first order with respect to $E.$ The engineer in charge of this task carries out a study in a fixed

bed reactor fed under a total molar flow rate of $600mo\frac{l}{h}$ with a pressure of $6$atm and

at a temperature of $120C.$ The reactor operates at constant temperature, with equimolar feed

and the pressure drop constant $a=0\mathrm{.}01g-1.$ The following table shows the results of this

preliminary study.

From the previous study, help the engineer to analyze the operation of a fixed bed reactor.

isothermal fed with a total molar flow rate of $1800mo\frac{l}{h}$ with a pressure of $4$atm and at a

temperature of $120C.$ Consider that the feed is equimolar, the decay constant of

pressure $a=0\mathrm{.}001g-1.$ Assume ideal gas. Based on the above, answer:

$2\mathrm{.}1.-$ find a mathematical expression that allows estimating the conversion of the reactor

$2\mathrm{.}2.-$ Using the expression from the previous section, what is the conversion of the reactor if the

mass of solids used is $300g.$

$2\mathrm{.}3.-$ If the reactor operates at a higher temperature $($constant$)$ so that the kinetic constant

increases by $20\%,$ determine the conversion achieved by the unit. Explain the difference from

section $2\mathrm{.}2($if there is one$).$