2.10.2 Second-order irreversible reaction
:(1)js non-elementom
moles as the reaction proceeds.
dGA
dt = -VAr -Batch reactor, constant
Volume
(phoven)
For second-order kinetics
(A? product)r = kC
(2.99)
we obtain
dCA
dt = kC
Why VA =-1? Dowe follow
and separate variables to yield
dCA
C
= -kdt
the storchiometric ratio
(2.100)
in the equation
comayer whether its
elementary & not
(2.101)
Loor do we just take reactiont
With CA = Cao at t = 0, this equation can be integrated to give A as howing VA = -1
?0t dt = -k?C
CAo dCA
C
inthis equation?
(2.102)
or
t = 1/k (1/CA - 1/CAo)
(2.103)
After rearranging and solving for CA (t), the expression becomes
CA = CAo/(1 + CAo kt)
(2.104)