Question $1$

For the irreversible reaction: $A+2BC+3D$

$1\mathrm{.}1$ If the reaction has elementary kinetics, what is the rate law?

$1\mathrm{.}2$ What is the $$ for this reaction?

$1\mathrm{.}3$ The feed consists of a liquid$-$phase solution of A and $B$ in a stoichiometric ratio plus some $D$ and an inert component, I. There is no $C$ in the feed. The $D$ in the feed is present in a molar ratio of $\frac{1}{5}=\frac{F_{D0}}{F_{A0}}$ and the inert is present so that $\frac{1}{5}$ of the total feed flowrate is inert.

$1\mathrm{.}3\mathrm{.}1$ Calculate ${}_D.$

$1\mathrm{.}3\mathrm{.}2$ Calculate ${}_{\text{I}}.$

$1\mathrm{.}3\mathrm{.}3$ Express the rate of reaction solely as a function of conversion for a flow system; assume that the reactor operates at a constant density and constant temperature. $($Hint: start by drawing up a stoichiometric table$).$

$1\mathrm{.}4$ The reaction is being done in an isothermal liquid$-$phase CSTR$,$ the rate constant is $0\mathrm{.}22(m^3*mo{l}^{-1}{)}^2*s^{-1}$ and the feed flowrate of $A$ is $95$mol.$s^{-1}.$ The volumetric feed flowrate is $15m^3.s^{-1}.$ If the percentage conversion is $72\%$ what is the required reactor volume?