
205Homogeneous Reactors
The total amount of tracer M injected in the feed stream is equal to the amount of tracer
washed out of the vessel into the efuent stream. Thus
Mq
=
∫
()
0
(3.257)
Combining Equations 3.256 and 3.257, we get
E
C
Cd
()
()
()
θ
θ
θθ
=
∞
∫
0
impulse
(3.258)
Using the above equation, the exit age distribution function E(θ) is obtained from the
C-curve of the impulse tracer test and is shown in Figure 3.50.
Thus, the RTD functions F(θ) and E(θ) are obtained from the step test and the impulse
test, respectively. As F(θ) and E(θ) are related to each other by the following equations
E
()
θ
=
(3.259)
d() ()
θ
=
∫
0
(3.26