The elementary gas reaction $2A+BC,$ is caried out isothermally in a PFR with no pressure drop. The feed is equimolar in A and B$,$ and the entering concentration of A is $0\mathrm{.}1mo\frac{l}{d}{m}^3.$ Set up the stoichiometric table and then determine the following.

a$)$ What is the entering concentration $(mo\frac{l}{d}{m}^3)$ of $B?$

b$)$ What are the concentrations of A and $C(mo\frac{l}{d}{m}^3)$ at $25\%$ conversion of $A?$

c$)$ What is the concentration of $B(mo\frac{l}{d}{m}^3)$ at $25\%$ conversion of $A?$

d$)$ What is the concentration of $B(mo\frac{l}{d}{m}^3)$ at $100\%$ conversion of $A?$

e$)$ If at a particular conversion the rate of formation of $C$ is $2mo\frac{l}{m}i\frac{n}{d}{m}^3,$ what is the rate of formation of $A$ at the same conversion?

f$)$ Write $-r_A$ solely as a function of conversion $($i$.$e$.,$ evaluating all symbols$)$ when the reaction is an elementary, imeversible, gas$-$phase, isothemal reaction with no pressure drop with an equimolar feed and with $C_{A0}=2mo\frac{l}{d}{m}^3$ at $k=2d\frac{m^6}{m}ol*s$

g$)$ What is the rate of reaction $x=0\mathrm{.}5?$

Consider the gas$-$phase isothermal isomerization reaction, $AB.$ Two CSTRS and two PFRs each have a volume of $1\mathrm{.}6m^3.$ Use the given data below to calculate the conversion for each of the reactors in the following arrangements. The entering molar flow rate of $A$ is $0\mathrm{.}4mo\frac{l}{s}.$

$\backslash$table$[[x,0,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}4,0\mathrm{.}6,0\mathrm{.}7,0\mathrm{.}8],[-r_A(mo\frac{l}{m^3}*s),0\mathrm{.}45,0\mathrm{.}37,0\mathrm{.}3,0\mathrm{.}195,0\mathrm{.}113,0\mathrm{.}079,0\mathrm{.}05]]$

a$)$ Two CSTRs in series.

b$)$ Two PFRs in series.

c$)$ Two CSTRs in parallel with the feed, $F_{A0},$ divided equally between the $2$ reactors.

d$)$ Two PFRs in parallel with the feed, $F_{A0},$ divided equally between the $2$ reactors.

e$)$ A PFR followed by a CSTR in series.