The cylindrical surface of a catalytic pellet is exposed to a concentration distribution \(c_{a o}(z)\). The ends of the pellet are impermeable as shown in Figure P9.27. As material diffuses into the pellet it reacts according to a first-order chemical reaction \((a \rightarrow b)\). Equimolar counterdiffusion occurs inside the pellet.

a. Derive the partial differential equation governing the concentration profile.

b. Solve the differential equation for the concentration field.

c. What is the flux of material through the exposed surface?

Transcribed Image Text:

FIGURE P9.27 Impermeable D ab Cao(2) Z.