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: log (-) dc log k +n logc %3D dt 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

College Algebra
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ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.6: Exponential And Logarithmic Equations
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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:
dc
log (-) = log k + n loge
%3D
dt
Use this approach along with the following data to find the value of k andn at time (t)
20 and 45 respectively.
t
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
Transcribed Image Text: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: dc log (-) = log k + n loge %3D dt Use this approach along with the following data to find the value of k andn at time (t) 20 and 45 respectively. t 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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