meles nonisothermal reaction engineering
TRANSCRIPT
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7/26/2019 meles Nonisothermal Reaction Engineering
1/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%
'eie() *hermochemistry for
+onisothermal 'eactor Design- .-/ 0$1
Mole "alance)
'ate la()
Stoichiometry)
-rrhenius E2uation
Need relationships: X T V
Consider an e3othermic,li2uid#phasereaction operated adia"atically in a
P' 4adia"atic operation# temperature increases do(n length of P'5)
-0
The energy balance provides this
relationship
6- B
- -
-0
d. r
d7 =
- -r 6C =
- - 0
0
- -0 -
C
C C 4% . 5
=
=
=
=
-0 --
-0 0
C 4% . 5d.
d7 C
6
E'*6 -e
=
=- -E % %
' * *%
0
%d. 4% . 5
d76 e3p
=
E % %
' * *%%6 6 e3p
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7/26/2019 meles Nonisothermal Reaction Engineering
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Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#
'ate of accum
of energy in
system
'ate of
(or6 done
"y syst
energy added
to syst "y
massflo( in
energy leaing syst
"y massflo( out8eat
in/ # 9#
'eie() *erms in Energy Balance
:S) shaft (or6P ) pressure
lo( (or6
!nternal energy is ma;or contri"utor to energy term
Steady state)
-ccum of energy
in system
shaft
(or6
Energy &
(or6 added
"y flo( in
Energy & (or6
remoed "y flo( out
8eat
in
/0/ # 9 #
n n
i i i i sin outi % i %
: P7 P7 :
= =
= + + & &
= =
= + n nssyyss
i iin outi % i %
i i
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7/26/2019 meles Nonisothermal Reaction Engineering
3/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#>
'eie() 'elate * to Conersion
!f .-0/0, then)
Steady state)
Total energy
balance (TEB)
0 at steady state
Multiplyout)
-ccum of energy
in system
shaft
(or6
Energy &
(or6 added
"y flo( in
Energy & (or6
remoed "y
flo( out
8eat
in/ # 9 #
( )= + +=i i0 i -0 - i -0 i i - . . i0
i-0
(here
=
= =
= + n n
s i0 i0 i
i
i
% i %
0 = : 8 8& &
( )= =
= + + n nssyyss
s i0 i -0 ii % i %
-0 i i -
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7/26/2019 meles Nonisothermal Reaction Engineering
4/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#?
'eie() = in a CS*'
CS*' (ith a heat e3changer, perfectly mi3ed inside and outside of reactor
*, .
-0
*, .
*a*a
*he heat flo(
tothe reactor is in terms of)
@Aerall heat#transfer coefficient,
U
@8eat#e3change area,A
@Difference "et(een the am"ient temperature in the heat ;ac6et, Ta, and
r3n temperature, T
a= 4U-* *5= &
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7/26/2019 meles Nonisothermal Reaction Engineering
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Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#
!ntegrate the heat flu3 e2uation along the length of the
reactor to o"tain the total heat added to the reactor )
8eat transfer to a perfectly mi3ed P' in a ;ac6et
a) heat#e3change area per unit olume of reactor
or a tu"ular reactor of diameter D, a / ? D
or a ;ac6eted PB' 4perfectly mi3ed in ;ac6et5)
8eat transfer to a PB'
'eie() *u"ular 'eactors 4P'PB'5)
- 7a a= U4* *5d- Ua4* *5d7= = &
ad=
Ua4* # *5d7
=&
a
" "
% d= d= Ua4* *5
d7 d: = =
& &
-a 7=
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7/26/2019 meles Nonisothermal Reaction Engineering
6/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#
L%) +onisothermal 'eactor Design
Steadystate total energy balance (TEB):
-t a particular temperature)
or a SS nonisotherm
flo( reactor)
Goal) Use *EB to design nonisothermal steady#state reactors
+eeds to "e simplifiedF "efore (e can apply it to reactor design
Constant 4aerage5
heat capacities )
Su"stitute
48iG 8i05 / # 48iG 8i05
( ) ( )= =
= = + i0n nssyys
is
s -0 i '. -0 -i % i %
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7/26/2019 meles Nonisothermal Reaction Engineering
7/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#1
'elating 8'.4*5 to 8H'.4*'5 andAerall Change in 8eat Capacity
Anly considering constant 4aerage5 heat capacities)
T reaction temp Ti! initial ("eed) temp T# re"erence temp
( ) + = o *'. ' *' P'. 8 4* C d*58 *
= =nP i pi
i %
oerall heat capaci Ct Cy)
( )=
= + + o& & *n
s -0 i p,i -0 -
i %
'*
P
*i0
. *'' C8 40 = : C d* * d* .5
( ) ( )=
=o on
'. ' i i 'i %
oerall heat of reaction at reference t 8 * 8emp) *
( )= =
= +
o n
*i pi
n
i i ' *'ii % %
'. 8 4* 5 C d8 **
[ ] ( )=
= + o& &'
n
s -0 i p .,i i0 -0 -i %
' P '
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7/26/2019 meles Nonisothermal Reaction Engineering
8/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#I
Soling *EB for Conersion
'earrange to isolate terms (ith .-on one side of e2)
Sole for .-)
Plug in = for the specific type of reactor, and
sole this e2 simultaneously (ith design e2uation
-l(ays start (ith this *EB)
[ ] ( )=
= + o& &
n
s -0 i p,i i0 '. ' P ' -0 -i %
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7/26/2019 meles Nonisothermal Reaction Engineering
9/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#J
Soling *EB for .-for an -dia"atic '3n
'earrange)
:hich term in this e2uation is ero "ecause (ere soling for an adia"atic
reactiona5 dEsysdt
"5
c5 d5
-0e5 +one of the a"oe
:hen the reaction is adia"atic 4=/05)
[ ] ( )n
s -0 i p,i i0 '. ' P ' -0 -
i %
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7/26/2019 meles Nonisothermal Reaction Engineering
10/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%0
Soling *EB for .-for an -dia"atic '3n
:hen shaft (or6 can "e neglected 4/05 and the reaction is adia"atic 4=/05)
'earrange)
Sole for .-)
* / reaction temp *i0/ initial 4feed5 temperature *'/ reference temp
Sole this e2 simultaneously
(ith design e2uation
Design e2s do not change,
e3cept 6 (ill "e a function of *
[ ] ( )n
s -0 i p,i i0 '. ' P ' -0 -
i %
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7/26/2019 meles Nonisothermal Reaction Engineering
11/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%%
+onisothermal -dia"atic Aperation
Constant or mean heat capacities
or a system (ith no shaft (or6 4 5 & adia"atic operation 4 5)
Usually,
.energy "alance
*emperature
CS*', P', PB', Batch
Adiabatic exothermic reactions
n
s A i pi i A RX R p Ri
Q W F C ( T T ) F X H ( T ) C ( T T )=
+ = 0 0 0%0o& %&
0=sW
0=Q
n
i pi i0i %
'. ' p '
C 4* * 5
.
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7/26/2019 meles Nonisothermal Reaction Engineering
12/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%
+onisothermal CS*'Design e2uation 4rom mass "alance5 )
Energy "alance) Coupled
:ith the e3ception of processes inoling highly iscous materials,
the (or6 done "y the stirrer can "e neglected 4i$e$ 5:ith heat e3changer)
=-0
-
.7
r
= + =
o& & %n
-0 i pi i0 -0 '. ' p 'i %
s
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7/26/2019 meles Nonisothermal Reaction Engineering
13/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%>
-pplication to CS*'
a5 Sole *EB for * at the e3it 4*e3it/ *insidereactor5
"5 Calculate 6 / -e#E'*(here * (as calculated in step a
c5 Plug the 6 calculated in step " into the design e2uation to calculate 7CS*'
Case %) Nien -0, C-0, -, E, Cpi, 8O!, and .-, calculate * & 7
a5 Sole *EB for * as a function of .-"5 Sole CS*' design e2uation for .-as a function of * 4plug in 6 / -e
#E'*5
c5 Plot .-,EBs * & .-,MB s * on the same graph$ *he intersection of these
lines is the conditions 4* and .-5 that satisfies the energy & mass "alance
Case ) Nien -0, C-0, -, E, Cpi, 8O!, and 7, calculate * & .-
.-,EB / conersion determined from the *EB e2uation
.-,MB/ conersion determined using the design e2uation
.-
*
.-,EB
.-,MB
.-,e3it
*e3it
!ntersection is * and .-that
satisfies "oth e2uations
L% %?
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7/26/2019 meles Nonisothermal Reaction Engineering
14/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%?
-pplication to a Steady#State P'
P'P'-0 -
distance
*.-
+egligi"le shaft (or6 4S/05 and adia"atic 4=/05
a5 Use *EB to construct a ta"le of * as a function of .-"5 Use 6 / -e#E'*to o"tain 6 as a function of .-c5 Use stoichiometry to o"tain Gr-as a function of .-d5 Calculate)
( )
.--
-0
- -.-0
d.7
r . ,*=
L% %- fi t d ti -4l5 B4l5 i t " i d t di " ti ll i CS*'
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7/26/2019 meles Nonisothermal Reaction Engineering
15/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%- first order reaction -4l5 B4l5 is to "e carried out adia"aticallyin a CS*'$
Nien -, E, *0, 0, C-0, and -0, find the reactor olume that produces aconersion .-$ *he heat capacities of - & B are appro3imately e2ual, & S/0$a5 Sole *EB for *)
Multiply out
actor out *
Plug in alues4QCp,
Q8O'.4*'5, Cp,i5 gien
in pro"lem statement
4loo6 them up if
necessary5 & sole
*emp (hen
specified
.-is
reached
0 0
!solate *
[ ] ( )n
-0 i p,i i0 '. ' P ' -0 -i %
C * * 8 4* 5 C * * .=
= + o
[ ] ( )n
s -0 i p,i i0 '. ' P ' -0 -i %0 = : C * * 8 4* 5 C * * .
=
= +
o& &
[ ] ( )'. ' P 'n
i p,i i0i
-%
8C * * 4* 5 C * * .=
+ = o
n
i p,i i0i
'. ' P%
i p,i P- '- -8 4* 5 C C *. .C C * .* *=
= + o
n
i p,i i
n
i p,i P - 0'. ' - P ' -i % i %
C C . 8 4* 5. C * . C* **==
+ = + + o
n
i p,i P - '. ' - P ' - p,- -0i %
C C . 8 4* 5. C * . C **
=
+ = + +
o
- -
n
'. ' P ' i p,i i0i %
n
i p,i P
%
-
i
.8 4* 5 C * C *
C
*
C
.
.
=
=
+ + =
+
o
L% %- fi t d ti -4l5 B4l5 i t " i d t di " ti ll i CS*'
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7/26/2019 meles Nonisothermal Reaction Engineering
16/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%- first order reaction -4l5 B4l5 is to "e carried out adia"aticallyin a CS*'$
Nien -, E, *0, 0, C-0, and -0, find the reactor olume that produces aconersion .-$ *he heat capacities of - & B are appro3imately e2ual, & S/0$a5 Sole *EB for * of reaction (hen the specified .-is reached)
"5 Calculate 6 / -e#E'*
(here * (as calculated in step 4a5 Loo6 up E in a thermo "oo6
c5 Plug the 6 calculated for the reactions temperature (hen the specified .-
is reached 4in step "5 into the design e2uation to calculate 7CS*'
n'. ' - P ' - i p,i i0
i %n
i p,i P -i %
8 4* 5. C * . C *
*
C C .
=
=
+ + =
+
o
( ) ( )-0 - -0 - -0 - -0 0 -
- - -0 - -0 - . . . C .7 7 7 7
r 6C 6C % . 6C % .
= = = =
( )0 -
-
.7
6 % .
=
L% %1
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7/26/2019 meles Nonisothermal Reaction Engineering
17/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%1
+o(, the first order reaction -4l5 B4l5 is carried out adia"atically(ith and
inlet temp of >00 K, CP-/0 calmolRK, and the heat of reaction / #0,000
calmol$ -ssume S/0$ *he energy "alance is)
rom thermodynamics.EB
*
rom energy "alance
0 0
( )
( )
n
i pi 0i %
EB '.
C * *
.8 *
=
=
%-
n
i pi pi %
C % C
=
= ( )
( )
-P 0
EB '.
C * *.
8 *
=
( )EB
0 * >00.
0000
=
( ) ( ) + = o'. '. ' P '
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7/26/2019 meles Nonisothermal Reaction Engineering
18/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%I*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ :hat (ould "e the temperature inside of a steady#state
CS*' that achieed .-/ 0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 KStart (ith SS EB & sole for *)
Multiply out "rac6ets & "ring
terms containing * to % side
[ ]n
s -0 i p,i i0 '. -0 -i %
0 = : C * * 8 4*5 .=
= & &
[ ]n
-0 i p,i i0 -0 -i %
'.0 0 0 C * * 8 4*5 .
=
=
[ ] ( ) ( ) ( )n
-0 i p,i i0 ' -P' 0'i
. -%
8 C * * * *C* .=
= +o
[ ] ( )n
i p,i i0 '. ' P ' -i %
C * * 8 4* 5 C * * .=
= + o
n ni p,i P - '. ' - P ' - i p,i i0
i % i %
C * C *. 8 4* 5. C * . C *= =
+ = + + o
n
'. ' - P ' - i p,i i0i %
n
i p,i P -i %
8 4* 5. C * . C *
*
C C .
=
=
+ + =
+
o
L% %J*h i i"l l t li id h ti - B i i d t di " ti ll i
-
7/26/2019 meles Nonisothermal Reaction Engineering
19/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%J*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ :hat (ould "e the temperature inside of a steady#state
CS*' that achieed .-/ 0$IE3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K
Start (ith SS EB & sole for *)
n
i p,ii %
n
i p,i
- '
i %
- i0
-
' P'
P
. . * . *C
C
*
.
C
C
8 4* 5=
=
+ + =
+
o
B -
"CCp Cp pa
= C 0p =% cal cal
>0 % mol K mol K
Cp = g g
( ) ( )n
i p,i
i
B !
%
-cal cal
% 0 % / % % 9 % %
mo
calC >0
ml K mo l Kl K o=
= = = =
g g g( ) ( ) ( ) ( ) ( )
d c "8 * 8 * 8 * 8 *D ' C '8 *'. ' B ' - 'a a a
= + o o o oo
( )% cal cal
0,000 0,000 mol m
8 ' l*
o. ' =
o ( )cal
8 * 000'. ' mol =o
L% 0*h i i"l l t li id h ti - B i i d t di " ti ll i
-
7/26/2019 meles Nonisothermal Reaction Engineering
20/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#0*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ :hat (ould "e the temperature inside of a steady#state
CS*' that achieed .-/ 0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K
Start (ith SS EB & sole for *)
n
i p,ii %
n
i p,i
- '
i %
- i0
-
' P'
P
. . * . *C
C
*
.
C
C
8 4* 5=
=
+ + =
+
o
C 0p =n
i p,ii %
calC >0
mol K==
g ( )
cal8 * 000'. ' mol
=o
-cal
>0
mol
cal000
Kca
moll
>0mol K
. J?
*
0
0
K + + =
+g
g
-cal cal
000 . II0
mol mol*cal
>0mol K
+ =
g
( ). 0$I-
* %$1K 0$I J?K=
= +-. 0$I
* ?1$>K= =
L%#%*he irreersi"le elementary li2uid phase reaction - B is carried out adia"atically in
-
7/26/2019 meles Nonisothermal Reaction Engineering
21/24Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L%#%*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ :hat (ould "e olume of the steady#state CS*' that
achiees .-/ 0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K
Sole the CS*' design e2 for 7 at .-/ 0$I & * / ?1$>K)
>dm %0,000cal mol % % 0$0 e3p
mol s %$JI1cal mol K >0K+eed at ?1$>K)
?1$>6 6
=
( )>dm6 0$0 e3p $0%?mol s
=
>dm6 0$J
mol s =
-0 -
CS*'
-
.7
#r=
-
-r 6C = ( )- -0 -Stoichiometry ) C C % .= ( )
-0 0 -C
-0 -
S*'Com"ine )
C %C .7
6 .=
( )
( )
>
CS*' >&
>
dmB 0$I
s7dm mol
0$&DJD % % 0$I
mol s dm
=
>
CS*'7 >10$Jdm =
L%#*he irreersi"le elementary li2uid phase reaction - B is carried out adia"atically in
-
7/26/2019 meles Nonisothermal Reaction Engineering
22/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L% *he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ Use the $%point r&leto numerically calculate the P'
olume re2uired to achiee .-/0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K@ Use the energy "alance to construct ta"le of * as a function of .-@ or each .- , calculate 6, #r-and -0#r-
@ Use numeric ealuation to calculate 7P'X' T() (dm*+mol,s) %r'(mol+dm*,s) -'!+%r'(dm*)! J?
!./ ?1$> 0$J
Calculated in CS*' portion of this pro"lem
0$00%J 0$00%J
0$0%01I?
>dm % %6 0$0& e3p B0>&$1%&DKmol s >B0K &J?
=
>dm6 0$00%&J mol s =
( )
- -0 -r 6 C % . = ( )
. 0 . 0- -
&&
- -D >
>dm mol molr 0$00%&J % % 0 r 0$00%&J
mol s dm dm s= =
= = g
( ). 0$I . 0$I- -
- - >
>dm mol molr 0$J % % 0$I r 0$0%01I?
mol s dm dm s= =
= =
g
L%#>*he irreersi"le elementary li2uid phase reaction - B is carried out adia"atically in
-
7/26/2019 meles Nonisothermal Reaction Engineering
23/24
Slides courtesy of Prof M L Kraft, Chemical & Biomolecular Engr Dept, Uniersity of !llinois, Ur"ana#Champaign$
L% >*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ Use the $%point r&leto numerically calculate the P'
olume re2uired to achiee .-/0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K@ Use the energy "alance to construct ta"le of * as a function of .-@ or each .- , calculate 6, #r-and -0#r-
@ Use numeric ealuation to calculate 7P'X' T() (dm*+mol,s) %r'(mol+dm*,s) -'!+%r'(dm*)! J? 0$00%J 0$00%J
!./ ?1$> 0$J 0$0%01I?
>I1
?>$
-0 -0 0
C=
-
>-0
- . 0>
mol
s >I1 dmmolr
0$00%Jdm s
=
= =
g
>
-0 >
mol dm mol %
dm s s
= =
-
>-0
- . 0$I>
mol
s ?>$ dmmolr
0$0%01I?dm s
=
= =
g
L%#?*he irreersi"le elementary li2uid phase reaction - B is carried out adia"atically in
-
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Slid t f P f M L K ft Ch i l & Bi l l E D t U i it f !lli i U " Ch i
L% ?*he irreersi"le, elementary li2uid#phase reaction - B is carried out adia"atically in
a flo( reactor (ith S/0 and (ithout a pressure drop$ *he feed contains e2ual molaramounts of - and an inert li2uid 4!5$ *he feed enters the reactor at J? K (ith 0/ dm>s and C-0/ % moldm
>$ Use the $%point r&leto numerically calculate the P'
olume re2uired to achiee .-/0$I E3tra info)
E / %0,000 calmol Cp-/ % calmol@K CpB/ >0 calmol@K Cp!/ % calmol@K
Q8-O4*'5 / #0 6calmol Q 8BO4*'5 / #0 6calmol Q8!O4*'5 / #% 6calmol
6 / 0$0 dm>mol@s at >0 K@ Use the energy "alance to construct ta"le of * as a function of .-@ or each .- , calculate 6, #r-and -0#r-
@ Use numeric ealuation to calculate 7P'X' T() (dm*+mol,s) %r'(mol+dm*,s) -'!+%r'(dm*)! J? 0$00%J 0$00%J >I1
!./ ?1$> 0$J 0$0%01I? ?>$
( ) ( ) ( )
%0 I 0 0 I
0 % % 00
= + = = =
Xh
2-point rule: ! "! X X #here h X X h $ h $X
> >0 I >I1 ?>
= + FR$
"' $ "'
>%1> =FR "'