Page 157 - Modeling of Chemical Kinetics and Reactor Design

Reaction Rate Expression 127

“Const” 1 = αp (3-65)

1
“C ” 0= p +q (3-66)
A
2

p= 1 (3-67)
α

and

q = −1 p= −1 (3-68)
2 2α

Substituting the values of p and q into Equation 3-68 and integrating
between the limits gives

 


C A −dC  C A dC C A dC 
∫ A =−  ∫ A − ∫ A 

1
 α

C  + 1 C  α C A C AO αα + C  
2
C AO A A   A  
C AO
 2   2 
t
∫
= kdt (3-69)
0
 C 1  2α +C  

 1
−  ln A − ln  A   = kt (3-70)
α C AO α  2α +C AO 


 C  2α + C  


 ln AO + ln  A   = α kt (3-71)
 C A  2α + C AO 


since
2α + C AO = 2C BO
2α + C = 2C B
A