Exercise $7\mathrm{.}16$: External mass$-$transfer effects on a second$-$order reac$-$

tion

Consider the irreversible, second$-$order reaction

$AB,r=k{c}_A^2$

taking place in a semi$-$infinite cylindrical pellet. Compute the effectiveness

factor versus Thiele modulus for the following values of the Biot number,

$B=,2,0\mathrm{.}5,0\mathrm{.}1.$ Compare your calculation to Figure $7\mathrm{.}34.$

Figure $7\mathrm{.}34$: Effectiveness factor versus Thiele modulus for different

values of the Biot number; second$-$order reaction in a

cylindrical pellet.