Ammonia is being cracked on a solid catalyst. At one point in the reactor where the pressure is 1 bar and the temperature is 300 K, the molar fractions of the gaseous mixture were found to be 0.4 NH3 (component 1), 0.2 N2 (component 2), and 0.4 H2 (component 3). Estimate the effective diffusivity of ammonia in the gaseous mixture making use of the binary diffusivity formula and the data given in Table Q1 (parts 1 & 2).

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
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Ammonia is being cracked on a solid
catalyst. At one point in the reactor where
the pressure is 1 bar and the temperature is
300 K, the molar fractions of the gaseous
mixture
were found to be 0.4 NH,
(component 1), 0.2 N, (component 2), and
0.4 H2 (component 3). Estimate the
effective diffusivity of ammonia in the
gaseous mixture making use of the binary
diffusivity formula and the data given in
Table Q1 (parts 1 & 2).
- Binary diffusivity formula:
(10*) r15
0.98
3.03-
M.5
0.5
P MA, O AB "D
2
АВ
АВ
where;
= diffusion coefficient, cm?/sec
АВ
MA , MB = molecular weights of A and B,
respectively
T= temperature, K
P = Pressure, bar
= collision diameter, Angstrom
АВ
2 = diffusion collision integral,
dimensionless
Transcribed Image Text:Ammonia is being cracked on a solid catalyst. At one point in the reactor where the pressure is 1 bar and the temperature is 300 K, the molar fractions of the gaseous mixture were found to be 0.4 NH, (component 1), 0.2 N, (component 2), and 0.4 H2 (component 3). Estimate the effective diffusivity of ammonia in the gaseous mixture making use of the binary diffusivity formula and the data given in Table Q1 (parts 1 & 2). - Binary diffusivity formula: (10*) r15 0.98 3.03- M.5 0.5 P MA, O AB "D 2 АВ АВ where; = diffusion coefficient, cm?/sec АВ MA , MB = molecular weights of A and B, respectively T= temperature, K P = Pressure, bar = collision diameter, Angstrom АВ 2 = diffusion collision integral, dimensionless
A::A
dimensionless
Given the following:
1
1
= 2
M
1
M
АВ
%3D
0. 5(0, + o,
) ,
.5( o
АВ
0.5
АВ
A
B.
K
K
K
Table Q1 (part 1): Intermolecular forces
parameters
σ. Α
2.900
€/к, К
558.3
M, g/mol
17
NH,
3.798
71.4
28
N2
H2
2.827
59.7
2
القسم
Table Q1 (part 2): Estimation of collision
integral (2)
KT/e
(for viscosity
and thermal
NDAB
(for viscosity
and thermal
KT/eAB conductivity) diffusivity)
KT/e
or
2DAB
or
(for mass
(for mass
KT{eAR conductivity) diffusivity)
0.9755
0.9700
0.9649
0.95
3.90
4.00
4.10
4.20
4.30
4.40
4.50
4.60
0.8888
0.8836
0.8788
0.8740
0.8694
0.8652
0.8610
0.8568
1.629
1.476
1.00
1.587
1.439
1.549
1.514
1.482
1.452
1.424
1.399
1.05
1.406
1.375
1.346
1.320
1.296
1.273
1.253
0.9600
0.9553
0.9507
0.9464
0.9422
1.10
L.15
1.20
1.25
1.30
1.35
1.375
1.353
4.70
0.9382
0.8530
1.233
1.215
1.198
1.182
1.167
0.9343
0.9305
0.9269
0.8963
0.8727
1,40
4.80
0.8492
1.333
1.314
1.296
1.279
1.264
0.8456
0.8422
0.8124
4.90
1.45
1.50
5.0
1.55
1.60
6.0
7.0
0.7896
0.7712
1.65
1.153
8.0
0.8538
1.70
1.248
1.140
9.0
0.8378
0.7556
10.0
20.0
0.8242
0.7432
0 7005
1.75
1.234
1.128
0.7424
1.80
1.221
1.116
0.6640
1 209
LI05
300
06232
Transcribed Image Text:A::A dimensionless Given the following: 1 1 = 2 M 1 M АВ %3D 0. 5(0, + o, ) , .5( o АВ 0.5 АВ A B. K K K Table Q1 (part 1): Intermolecular forces parameters σ. Α 2.900 €/к, К 558.3 M, g/mol 17 NH, 3.798 71.4 28 N2 H2 2.827 59.7 2 القسم Table Q1 (part 2): Estimation of collision integral (2) KT/e (for viscosity and thermal NDAB (for viscosity and thermal KT/eAB conductivity) diffusivity) KT/e or 2DAB or (for mass (for mass KT{eAR conductivity) diffusivity) 0.9755 0.9700 0.9649 0.95 3.90 4.00 4.10 4.20 4.30 4.40 4.50 4.60 0.8888 0.8836 0.8788 0.8740 0.8694 0.8652 0.8610 0.8568 1.629 1.476 1.00 1.587 1.439 1.549 1.514 1.482 1.452 1.424 1.399 1.05 1.406 1.375 1.346 1.320 1.296 1.273 1.253 0.9600 0.9553 0.9507 0.9464 0.9422 1.10 L.15 1.20 1.25 1.30 1.35 1.375 1.353 4.70 0.9382 0.8530 1.233 1.215 1.198 1.182 1.167 0.9343 0.9305 0.9269 0.8963 0.8727 1,40 4.80 0.8492 1.333 1.314 1.296 1.279 1.264 0.8456 0.8422 0.8124 4.90 1.45 1.50 5.0 1.55 1.60 6.0 7.0 0.7896 0.7712 1.65 1.153 8.0 0.8538 1.70 1.248 1.140 9.0 0.8378 0.7556 10.0 20.0 0.8242 0.7432 0 7005 1.75 1.234 1.128 0.7424 1.80 1.221 1.116 0.6640 1 209 LI05 300 06232
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