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Nuclear Waste, Kinetics, and CMBRs
±
Lecture#12
±
reaction kinetics (transformation term)
±
review no flow, constant volume decay problems
±
reaction kinetics radioactive decay
±
first order reaction, CMBR (ICP#10)
±
Reading V: Ch. 4 (pg. 8494); Ch. 5 (pg. 106
108); V: 14.3 (pg. 400405);
N: Ch 2 (pg. 5657)
;
PS#1 due;
PS#2 posted
What you should know
±
What is the order of a reaction?
±
What are the units of a zero order rate constant?
first order rate constants?
±
Why is nuclear waste an issue?
±
What is a batch or CMBR reactor?
±
What is the form of the MBE for a CMBR
assuming a first order decay reaction (ICP#10)?
Reactor Types
test tube, storage container,
or world’s atmosphere
lake, house, air over city
pipe, river, channel, hallway, tunnel (L>> d or w)
Mass flow rate balance equation
±
accumulation rate = inflow rate – outflow rate + net
transformation rate
±
nonconservative: generation or decay,
m
●
rxn
=
±
VR
(
−
for decay;
+
generation;
R
is the rate of reaction)
±
no flow reactors:
m
●
in

m
●
out
= 0
(
Batch or CMBR
:
continuously mixed batch reactors)
±
for constant volume:
dm/dt =
VdC/dt
±
dm/dt =
VdC/dt
=m
●
rxn
dm/dt
=
m
●
in

m
●
out
+m
●
rxn
Reaction kinetics
±
R
= rate of reaction
(mass/volumetime
≡
g/Ld)
±
m
●
rxn
=
±
VR
→
units of
mass flow (
≡
g/d);
−
for
decay;
+
generation
±
R = kC
n
Where k is the rate constant, n is the
order of reaction, and C is the
contaminant concentration
±
reaction order, n
n=0; zero order
n=1; first order
n=2; second order
±
unit of
k
→
depends on
order such that
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This note was uploaded on 04/17/2008 for the course CEE 260 taught by Professor Kimf.hayes during the Fall '06 term at University of Michigan.
 Fall '06
 KimF.Hayes
 Radioactive Decay, Kinetics

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