The following, irreversible, gas phase reaction is carried out isothermally in a batch reactor

at constant pressure.

$A+2$BlongrightarrowC

The feed is at a temperature of $227C,$ a pressure of $1013$kPa and the composition of $A$ is

$33\mathrm{.}3\%$ and $66\mathrm{.}6\%$ of $B.$ Below are the data obtained from the laboratory under identical

conditions:

It is desired to carry out the reaction in a PFR reactor at the same conditions as the batch

reactor. Estimate the volume of the PFR reactor for a $30\%$ conversion of A and a volumetric

flow rate $v0=2m\frac{3}{m}in.$