(a) Chemical reaction often follows the model: dc -kc" dt where c = concentration, t = time, k = reaction rate and n = reaction order. Using tl fundamental of logarithmic, the above reaction can be written as: dcy | = log k + n logc dt log Use this approach along with the following data to find the value of k and n at time 20 and 45 respectively. 10 20 40 3.52 2.48 1.23 15 30 45 60 75 3.17 1.75 1.02 0.61 0.43

(a) Chemical reaction often follows the model: dc -kc" dt where c = concentration, t = time, k = reaction rate and n = reaction order. Using tl fundamental of logarithmic, the above reaction can be written as: dcy | = log k + n logc dt log Use this approach along with the following data to find the value of k and n at time 20 and 45 respectively. 10 20 40 3.52 2.48 1.23 15 30 45 60 75 3.17 1.75 1.02 0.61 0.43

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(a) Chemical reaction often follows the model:
dc
-kc"
dt
where c = concentration, t = time, k = reaction rate and n = reaction order. Using the
fundamental of logarithmic, the above reaction can be written as:
dcy
| = log k + n logc
dt
log
Use this approach along with the following data to find the value of k and n at time (t)
20 and 45 respectively.
10
20
40
3.52
2.48
1.23
t
15
30
45
60
75
3.17
1.75
1.02
0.61
0.43

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