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Sac.
2.2
Batch
Reactor Design Equations
39
Now, the number of moles of
A that
remain in the reactor after a time
r,
N,,
can be expressed in terms of
NAO
and
X:
Moles of
A
that
The number of moles of A in the reactor after a conversion
X
has been
achieved
1s
When
no
spatial variations in reaction rate
exist,
the mole balance on spe
cies A for a batch system is given by the following equation [cf. Equation (15)J:
This equation is valid whether or not the reactor volunle is constant. In the
general reaction, Equation
(22).
reactant
A is disappearing: therefore,
we
rnul
tiply
both sides of Equation
(25)
by 1 to obtain the mole balance for
the
hatch reactor in the
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 Spring '08
 Vanderwal,C
 Mole, Reaction, Kinetics

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