CH ENGR 101C Quiz: HW9 solution

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      
    ,
 
  !
 " # $
$%&'   (  ) * ( 
s
m
air
2
5
10505.1
×=
υ
a. Sc and Sh
( )
( )
2
5
2
4
4
2
5
1/2 1/3
1/2 1/3 4
1.505 10
1.88
0.080 10
1.5 0.5
v
Re 4.98 x 10 laminar
1.505 10
0.664 Re 0.664 4.98 10 1.88 183
air
AB
L
L L
m
s
Sc Dm
s
mm
Ls
m
s
Sh Sc
υ
ν
 
×
 
 
= = =
 
×
 
 
= = =
×
= = × =
b. Solvent evaporation rate, WA
( )
( )
2
cm
183 0.08 s
cm
= 0.293
50 cm s
AB
c
Sh D
kW
 
 
 
= =
(
)
( )
*
-6
3
3
,
0.159 atm
gmole
= 6.61 x 10
cm atm
82.06 293 K
gmole K
0
A
As
A
p
cRT
c
= =  
 
 
=
(
)
( )
,
2
-6
3
2
cm gmole 100 cm gmole
0.293 6.61 x 10 -0 2 0.5 m 2.5 m = 0.048
s cm 1 m s
A A c As A
W N S k c c WL
= = ⋅ =
 
⋅ ⋅
 
 
c. Determine +,
+-   ./
.012342
 5  .012342
6
Mass balance on solvent in moving sheet
IN – OUT GEN = ACC
,0 ,
, ,0
0 0
0.048 86
0.10 0.017
50
s s
A A f A A
A A
A f A
s
X m X m W M
gmole g A
s gmole
W M
g A g A
X X g poly
g poly g poly
ms
• •
+ =
 
 
  
  
= − = =
 
 
 
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