P$1$l$-7{?}_B$ The gas$-$phase reversible reaction

$AB$

is carried out under high pressure in a packed$-$bed reactor with pressure drop. The feed consists of both inerts I and Species

A with the ratio of inerts to the species A being $2$ to $1.$ The entering molar flow rate of $A$ is $5mo\frac{l}{m}in$ at a temperature of

$300K$ and a concentration of $2mo\frac{l}{d}{m}^3.$ Work this problem in terms of volume. Hint: $V=\frac{W}{{}_B},r_A={}_B{r}_A^{\text{'}}.$

Additional information:

$)$

$($a$)$ Adiabatic Operation. Plot $x,x_e,p,T,$ and the rate of disappearance as a function of $V$ up to $V=40d{m}^3.$ Explain

why the curves look the way they do$.$

$($b$)$ Vary the ratio of inerts to $A(0{}_{1}10)$ and the entering temperature, and describe what you find.

$($c$)$ Plot the heat that must be removed along the reactor $(Q^{}$ vs$.$ V$)$ to maintain isothermal operation. Part is $"$C$"$ level of

difficulty.