Question $3$

The elementary gas reaction

$2A+BC$

is carried out isothermally in a PFR with no pressure drop. The feed is equal in A and $B$ and the entering concentration of A is $0\mathrm{.}1$ mol$/$dm$3$

a$)$ Determine the entering concentration$($ mol$/$dm$3)$ of B$?$

$[2$ marks$]$

b$)$ Calculate the concentration of A and $C(mo\frac{l}{d}m{3}^{\text{'}})$ at $25\%$ conversion of $A?$

$[4$ marks$]$

c$)$ Determine the concentration B $($mol$/$d$m^3)$ at $25$ & conversion of $A?[2$marks$]$

d$)$ If at a particular conversion, the rate of formation of C is $2($mol$/$min$/$dm$3),$ determine the rate of formation of $A$ at the same converion?

$[2$ marks$]$

e$)$ Express the rate of consumption of A$.-{}_{}$rA solely as a function of conversion $($i$.$e$.$ evaluating all symbols$)$ when the reaction is an elementary, reversible, 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 $k_A=2d\frac{m^6}{m}ol*s$ to find the rate at $x=0\mathrm{.}25$

$[4$ marks$]$

f$).$ Calculate the reaction rate law for the reaction

$A+\frac{1}{2}C$

If the reaction is elementary? Calculate ${}_{}$rAand ${}_{}$rC?

$[4$ marks$]$

g$)$ Calculate the rates of A$,$ B $,$ and $C$ in a CTR where the concentrations are $CA=1\mathrm{.}5mo\frac{l}{d}{m}^3,$ CB$=9mo\frac{l}{d}{m}^3$ and $k_a=2(d{m}^3$mol$)(1s).$

$[7$ marks$]$