CHEMICAL ENGINEERING

(Amelia) #1

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:


1 


0. 0103


0. 0356


D 0. 71

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