The following, irreversible, gas phase reaction is carried out isothermally in a batch reactor at constant pressure.

A$+2$B$--->$c

The feed is at a temperature of $227\backslash$deg C$,$ 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: $\backslash$table$[[-r_A(\frac{\text{m}\text{o}\text{l}}{d}{m}^{3**}(s)),1,0\mathrm{.}5,0\mathrm{.}2,0\mathrm{.}1],[x_A,0\mathrm{.}0,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}6]]$ 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 v$0=2$ m$3/$min$.$ a$)0\mathrm{.}52$ dm$3$

b$)9$ dm$3$

c$)1\mathrm{.}42$ dm$3$

d$)0\mathrm{.}05$ m$3.$ If in the problem in Question $1$ you want to add a CSTR that receives the PFR effluent, estimate the volume of the CSTR to achieve a $50\%$ conversion of A$.$ a$)10$ dm$3$

b$)4$ L

c$)20$ dm$3$

d$)5$ dm$3.$ PLEASE HELP I HAVE AN HOUR TO ANSWER THIS