ChE $3323$ Chemical Reaction Engineering

HW $2$: Ch$2$ & $3$&$4($total $150$ pts$)$

$($Total: $90$ points$)$ The reaction $AB$ is to be carried isothermally in a continuous$-$flow reactor. The entering volumetric flow rate $v_{A0}=10d\frac{m^3}{h},$ and is constant throughout the reaction. The entering molar flow rate is $15\frac{\text{m}\text{o}\text{l}}{h}.$ To consume $90\%$ of A at $T=30C,$ answer the following questions.

$(15$ pts$)$ Calculate the CSTR volume necessary if $-r_A=k$ with $k=0\mathrm{.}04mo\frac{l}{h}*dm.$

$(15$ pts$)$ Calculate the PFR volume necessary assuming that $-r_A=k$ with $k=0\mathrm{.}04mo\frac{l}{h}.d{m}^3.$

$(15$ pts$)$ Calculate the CSTR volume necessary assuming that $-r_A=k{C}_A$ with $k=0\mathrm{.}0005s^{-1}.$

$(15$ pts$)$ Calculate the PFR volume necessary assuming that $-r_A=k{C}_A$ with $k=0\mathrm{.}0005s^{-1}.$

$(15$ pts$)$ Calculate the CSTR volume necessary assuming that $-r_A=k{C}_A^2$ with $k=200d\frac{m^3}{m}ol*h$