Stoichiometry. The elementary gas reaction

$2A+BC$

is carried out isothermally in a PFR with no pressure drop. The feed is equal molar in A and B$,$ and

the entering concentration of $A$ is $0\mathrm{.}1mo\frac{l}{d}{m}^3.$ Set up a 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 $A?($Ans$.$: $C_B=0\mathrm{.}1mold{m}^3)$

$($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 for$-$

mation 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, irreversible, gas$-$phase, isothermal reaction with no pressure drop with an equal molar

feed and with $C_{A0}=2\mathrm{.}0mo\frac{l}{d}{m}^3$ at$,k_A=2d\frac{m}{m}ol*s.$

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