7.5-11. Effect of Slow Reaction Rate on Diffusion. Gas A diffuses from point 1 to a catalyst surface at point 2 , where it reacts as follows:
2A->B. Gas
Bdiffuses back a distance
\delta to point 1 . (a) Derive the equation for
N_(A)for a very fact reaction using mole fraction units
x_(A1), and so on. (b) For
D_(AB)=0.2\times 10^(-4)(m^(2))/(s),x_(A1)=0.97,P=101.32kPa,\delta =1.30mm, and
T=298K, solve for
N_(A). (c) Do the same as part (a) but for a slow first-order reaction where
k_(1)^(')is the reaction velocity constant. (d) Calculate
N_(A)and
x_(A2)for part (c) where
k_(1)^(')=0.53\times 10^(-2)(m)/(s). Ans. (b)
N_(A)=8.35\times 10^(-4)kgmo(l)/(s)*m^(2)