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GATE Civil Engineering (CE) 2019 Shift 2 Solved Paper
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© examsnet.com
Question : 43
Total: 65
Consider the reactor shown in the figure. The concentration (in
m
g
/
l
)
of a compound in the influent and effluent are
C
0
and
C
, flow rate through the reactor is
Q
m
3
/
h
respectively. The compound is degraded in the reactor following the first order reactions. The mixing condition of the reactor Complete Mix Flow Reactor (CMFR) or a plug-flow reactor (PFR). The length of the reactor can be adjusted in these two mixing conditions to L
C
M
F
R
and
L
P
E
R
while keeping the cross-section of the reactor constant. Assuming steady state and for
C
/
C
0
=
0.8
, the value of
L
C
M
F
R
/
L
P
E
R
(round off to 2 decimal places) is ___________
Your Answer:
Validate
Solution:
A
=
constant
Q
=
A
L
For plug flow
=
C
=
C
0
e
−
k
t
d
1
[
t
d
1
=
detention time for plug flow reaction]
For completely mix
=
C
=
C
o
1
+
k
t
d
2
[
t
d
2
=
detention time for completely mix reaction]
⇒
0.8
=
e
−
k
d
1
⇒
k
t
d
1
=
0.223
=
k
⋅
A
l
plug
Q
Also
0.8
=
1
1
+
k
t
d
1
⇒
k
t
d
2
=
0.25
=
k
⋅
A
L
com
Q
⇒
k
t
d
k
t
d
1
=
L
plug
L
com
=
0.223
0.25
=
0.892
=
0.89
⇒
L
com
L
plug
=
1
0.89
=
1.12
© examsnet.com
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