19.1 10 SLE oz 19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre- sented by 16 be A828 XUh She lE SE dc NA=-DAB 35 00 A АВ dz where z is distance along the tube axis. The inside wall of the tube exerts a catalytic effect and decomposes A so that the heterogeneous rate of decomposition on the wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the wall area in m2. Neglect any radial gradients (this means a uniform radial concentration). Derive the differential equation for unsteady state for diffusion and reaction for this system. [Hint: First make a mass balance for A for a Az length of tube as fol- lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur (diffusion)+ rate of accumulation.] sds a'сА 2k дс А A = D Ans. A R az3 АВ OTOt 19.2-1.
19.1 10 SLE oz 19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre- sented by 16 be A828 XUh She lE SE dc NA=-DAB 35 00 A АВ dz where z is distance along the tube axis. The inside wall of the tube exerts a catalytic effect and decomposes A so that the heterogeneous rate of decomposition on the wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the wall area in m2. Neglect any radial gradients (this means a uniform radial concentration). Derive the differential equation for unsteady state for diffusion and reaction for this system. [Hint: First make a mass balance for A for a Az length of tube as fol- lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur (diffusion)+ rate of accumulation.] sds a'сА 2k дс А A = D Ans. A R az3 АВ OTOt 19.2-1.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![19.1
10
SLE
oz
19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled
with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre-
sented by
16
be A828
XUh
She lE
SE
dc
NA=-DAB
35
00
A
АВ
dz
where z is distance along the tube axis. The inside wall of the tube exerts a catalytic
effect and decomposes A so that the heterogeneous rate of decomposition on the
wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the
wall area in m2. Neglect any radial gradients (this means a uniform radial
concentration).
Derive the differential equation for unsteady state for diffusion and reaction
for this system. [Hint: First make a mass balance for A for a Az length of tube as fol-
lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur
(diffusion)+ rate of accumulation.]
sds
a'сА
2k
дс
А
A
= D
Ans.
A
R
az3
АВ
OTOt
19.2-1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F65a54057-de91-4407-81dc-84071bb6029d%2F9418cf33-903e-48f9-952e-b9f21f310030%2F3nn9kf.jpeg&w=3840&q=75)
Transcribed Image Text:19.1
10
SLE
oz
19.1-22. Diffusion and Heterogeneous Reaction on a Surface. In a tube of radius R m filled
with a liquid, dilute component A is diffusing in the nonflowing liquid phase repre-
sented by
16
be A828
XUh
She lE
SE
dc
NA=-DAB
35
00
A
АВ
dz
where z is distance along the tube axis. The inside wall of the tube exerts a catalytic
effect and decomposes A so that the heterogeneous rate of decomposition on the
wall in kg mol A/s is equal to kc Aw, where k is a first-order constant and Ay is the
wall area in m2. Neglect any radial gradients (this means a uniform radial
concentration).
Derive the differential equation for unsteady state for diffusion and reaction
for this system. [Hint: First make a mass balance for A for a Az length of tube as fol-
lows: rate of input (diffusion) +rate of generation (heterogeneous) rate of outpur
(diffusion)+ rate of accumulation.]
sds
a'сА
2k
дс
А
A
= D
Ans.
A
R
az3
АВ
OTOt
19.2-1.
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