Example 1.9: A second order reaction is conducted in a
tubular flow reactor at 5 atm and at a 325 °C.
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The feed contains A and inert I at a mole fraction of 0.75
and 0.25, respectively. Calculate the
size of the reactor if the design feed rate of A is 40000 lb/d and the design
conversion is 45 %. Molecular weight of
A = 65.
Solution
Conversion, XA = 0.45
Pressure, P = 5 atm
Temperature, T = 598.15 EK
Gas constant, R = 0.08206 (atm·L)/(mol·°K)
C
Fractional volume change, ε
(Equation 1.15):
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C
Concentration of component A, CAo:
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C
kτpCAo
(Second order, variable volume, Equation 1.53):
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C
Residence time, tp
= 0.663/(0.015(0.0764)) = 578.62 s
C
Molar flow rate of component A, FAo:
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