(a) Chemical reaction often follows the model: dc -kc" dt where c=concentration, 1= time, k= reaction rate and n= reaction order. Using the fundamental of logarithmic, the above reaction can be written as: log (-) = log k + n logc Use this approach along with the following data to find the value of k and n: 15 20 30 3.97 2.83 1.56 22 28 34 40 46 2.71 1.63 1.15 0.94 0.34

(a) Chemical reaction often follows the model: dc -kc" dt where c=concentration, 1= time, k= reaction rate and n= reaction order. Using the fundamental of logarithmic, the above reaction can be written as: log (-) = log k + n logc Use this approach along with the following data to find the value of k and n: 15 20 30 3.97 2.83 1.56 22 28 34 40 46 2.71 1.63 1.15 0.94 0.34

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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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

(a) Chemical reaction often follows the model:
dc
:-kc"
dt
where c= concentration, 1=time, k=reaction rate and n= reaction order. Using the fundamental
of logarithmic, the above reaction can be written as:
log (-) = log k + n logc
Use this approach along with the following data to find the value of k and n:
15
20
30
3.97
2.83
1.56
22
28
34
40
46
2.71
1.63
1.15
0.94
0.34

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(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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