Last time 3/6/08. D=v o / V Bioreaction Engineering Wash Out: 1.) Neglect Death Rate and Cell...
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Transcript of Last time 3/6/08. D=v o / V Bioreaction Engineering Wash Out: 1.) Neglect Death Rate and Cell...
Wash Out:
Maximum Production Rate =
Dividing by V
Ý m
VDCC
How does this figure relate to drinking a lot of fluids when you have an infection or cold?
Intro to heat effects
Da
dC
a
cB
a
bA
Q W
s
molFi 0
mol
JEi 0
iF
iE
Rate of energy in by flow
Rate of energy out by flow
Heat added to the system
Work done by the system
Rate of energy accumulation
- -+ =
state)steady (at 0
00
sJsJsJsJ
dt
dEWQEFEF sys
iiii
Assumptions:
mol
mVVPFVPF
W
KEPEUE
iiii
iiii
3
000
~
~~ work flow
shaft work work flow
internal tocompared small energiesother
=0 =0
0
0~~
0~~
00
0000
00000
Siiii
Siiiiii
Siiiiiiii
WQHFHF
WQVPUFVPUF
WVPFVPFQUFUF
0
0
0
000
0000
000
0
0000
Si
iAiiiA
SiAiiAiiA
SiiAiiA
iAi
AiiiAi
WQHa
iXFHHF
WQXHa
iFHFHF
WQHXa
iFHF
XaiFF
FFFF
- Assuming no phase change during reaction
- Assuming constant heat capacity
K mol
J PiC
RPiRii
T
T PiRii TTCTHTHdTCTHTHR
00
Enthalpy of formation at temperature TR
RPiRPiii TTCHTTCHHH 00
0
RPiii
Piii
TTCHaiHai
TTCHH
0
00
Heat of reaction at temperature T
0000
00000
0
SRPiAPiiA
PAPBPCPDP
ABCDX
RPXRXi
WQTTCHXFTTCF
CCa
bC
a
cC
a
dC
HHa
bH
a
cH
a
dH
TTCHTHHai
Example – Adiabatic and no work
0
0
0
P
0
0
00
C neglecting
0 ,0
Pi
X
RPX
Pii
RPXPii
S
C
XHTT
TTCH
TTCX
TTCHXTTC
WQ
FA0 cancels from remaining terms
Usually ΔCP is small compared to other terms
X X
TT
exothermic
endothermic
Example – PFR A ↔ B
1) Mole balance
2) Rate Laws
3) Stoichiometry
4) Energy Balance
0A
A
F
r
dV
dX
TTk
HkkC
TTR
Ekk
k
CCkr
XCCP
C
BAA
11exp 0
11exp
2
0
2
11
XCCXCC ABAA 00 1
Pii
X
C
XHTT
0
0
Pii
X
C
XHTT
0
0
T
XC Adiabatic equilibrium conversion
C
Ceq k
kX
1