Page 236 - Modeling of Chemical Kinetics and Reactor Design

206 Modeling of Chemical Kinetics and Reactor Design

Rearranging Equation 3-311 and integrating between the limits at
t = 0, C = C AO and t = t, C = C gives
A
A
A
C A dC t
∫ A =− k 1 ∫ dt (3-312)

C AO C A 0

and

C A
ln =− kt (3-313)
1
C AO
Therefore,

C = C AO exp − ( k t) (3-314)
A
1
(2) Using Equation 3-314 for the gas-phase decomposition of
sulfuryl chloride, it can represented by

Y = Ae BX (3-315)

Linearizing Equation 3-315 gives

ln Y = ln A + BX (3-316)

Table 3-18 shows the concentration of SO Cl , C as a function of
A
2
2
time, t.
A plot of ln C versus time t gives a straight line with slope (–B) equal
A
BX
to the rate constant k . The constants of the equation Y = Ae are:
1
Table 3-18

Time (min) C , mol/l ln C , mol/l
A
A
4.0 0.0158 –4.1477
20.2 0.0152 –4.1865
40.0 0.0144 –4.2405
60.0 0.0136 –4.2977
120.0 0.0166 –4.4568
180.0 0.0099 –4.6152