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(Solved): 7.5-11. Effect of Slow Reaction Rate on Diffusion. Gas A diffuses from point 1 to a catalyst surface ...



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

B

diffuses 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)


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