284 CHEMICAL ENGINEERING VOLUME 1 SOLUTIONS
CTD
P
RT
D
0. 760 ð 13 , 600 ð 9. 81
8314 ð 349
D 0 .0350 kmol/m^3
For air: CB 1 DCTCA 1 D 0. 0350 0. 0138
D 0 .0212 kmol/m^3
and: CB 2 DCTD 0 .0350 kmol/m^3.
The evaporation rate of water is: N^0 AD
26 ð 10 ^6
y 2 y 1
ð 0 .0350 ln
(
0. 0350
0. 0212
)
D
0. 456 ð 10 ^6
y 2 y 1
kmol/m^2 s
But: N^0 AD 4. 11 ð 10 ^3 kg/m^2 sD 0. 228 ð 10 ^3 kmol/m^2 s.
giving a film thickness of:y 2 Dy 12
ð 10 ^3 mD2mm
For ethanol:Vapour pressureD541 mm Hg at 343 K.
At 343 K: CA 1 D
PA 1
RT
D
0. 541 ð 13 , 600 ð 9. 81
8314 ð 343
D 0 .0253 kmol/m^3
CTD
P
RT
D
0. 760 ð 13 , 600 ð 9. 81
8314 ð 343
D 0 .0356 kmol/m^3
CB 1 DCTCA 1
D 0 .0103 kmol/m^3
and: CB 2 DCTD 0 .0356 kmol/m^3
The evaporation rate of ethanol,N^0 AD
(
12 ð 10 ^6
0. 002
)
ð 0. 0356 ðln
(
0. 0356
0. 0103
)
D 0. 265 ð 10 ^3 kmol/m^2 s
D 12. 2 ð 10 ^3 kg/m^2 s
The total flux at any locationDdiffusional fluxCbulk flow
bulk flow
total flux
D 1
diffusional flux
total flux
D 1
CB
CT
At the ethanol surface, the proportion of flux due to bulk flow is: