Problem $4(15$ points$)$

The gas$-$phase reversible reaction AharrB, is carried out under high pressure in a packed$-$bed

reactor with pressure drop. The feed consists of both inerts I and Species A$.$

a$)$ What is the heat that must be removed as a function of position in the reactor to maintain

isothermal operation $(Q$ as a function of $V?$ and $\{$:$r_A={}_b{r}_A^{\text{'}}).$

b$)$ Sketch what this function would look like. Identify any key characteristics $($starting point,

ending point, or asymptotes$).$