Problem $4.$

The reaction takes place between two gases that mix at the entrance of the

PFR reactor. The first gas A enters at a flow rate of $14\mathrm{.}2\frac{m^3}{m}in$ and the second gas

contains $50\%B$ and balance in inert I, entering with a total flow rate of $7\mathrm{.}1\frac{m^3}{m}in.$

Both are instantaneously mixed at the entrance of the reactor at $86C$ and $1$atm.

The gases are ideal and the product obtained is $R$ according to the stoichiometric

reaction:

$A+BR$

The rate constant is given by the following expression:

$ln{k}_p=-\frac{5470}{T}+12\mathrm{.}5(\frac{\text{m}\text{o}\text{l}}{at{m}^2(L)(min)})$

Calculate the reactor volume operating isothermally to achieve $90\%$ conversion.

Calculate the molar flow and space velocity.