
34 Green Chemical Engineering
A plot of ln(−r
A
) versus ln(C
A
) (Figure P2.2b) gives a straight line with slope m = n and
intercept I = ln k. From this plot
m = 3.3, that is, reaction order n = 3.3
I = −6.9, that is, rate constant k = e
−6.9
= 1.01 × 10
−3
The reaction is actually a third-order reaction with value of k = 1 × 10
−3
.
Note: Refer MATLAB program: diff_anal_kinet.m
0
1
2
3
4
0100 200300 40
Reactant conc. C
A
(kmol/m
3
)
Time (t, min)
0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2
–5.5
–5
–4.5
–4
–3.5
–3
–2.5
–2
A
ln (C
A
)
Slope = 2.7102
Intercept = –6.6016
FIGURE P2.2
(a) Plot of C
A
versus t using the data given in the problem. (b) Plot of ln(−r
A
) versus ln(C
A
) for ...