The CO2 concentration profile in water during the absorption test exhibits a sigmoidal shape and could be fitted to the following equation: a C(t) 1+ bect |3D where, C: represents the CO2 concentration (g CO2/kg H20). t: is the time (min). a: is the carrying capacity, or limiting value (g CO2/kg H2O). b: is the initial concentration value (g CO2/kg H2O). c: is a constant determined by the rate of growth. Given a carrying capacity of 1000 g CO2/kg H20, fit a sigmoidal model for the following absorption data and test the statistical goodness of the fit:

Principles of Instrumental Analysis
7th Edition
ISBN:9781305577213
Author:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Publisher:Douglas A. Skoog, F. James Holler, Stanley R. Crouch
Chapter14: Applications Of Ultraviolet-visible Molecular Absorption Spectrometry
Section: Chapter Questions
Problem 14.12QAP
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The CO2 concentration profile in water during the absorption test exhibits a sigmoidal shape and could
be fitted to the following equation:
a
C(t) =
1+bect
where, C: represents the CO2 concentration (g CO2/kg H2O).
t: is the time (min).
a: is the carrying capacity, or limiting value (g CO2/kg H20).
b: is the initial concentration value (g CO2/kg H2O).
c: is a constant determined by the rate of growth.
Given a carrying capacity of 1000 g CO2/kg H20, fit a sigmoidal model for the following absorption
data and test the statistical goodness of the fit:
t (min)
C (g CO2/kg H2O)
6.
9.
12
18
24
27
1
19
80
288
892
993
999
Transcribed Image Text:The CO2 concentration profile in water during the absorption test exhibits a sigmoidal shape and could be fitted to the following equation: a C(t) = 1+bect where, C: represents the CO2 concentration (g CO2/kg H2O). t: is the time (min). a: is the carrying capacity, or limiting value (g CO2/kg H20). b: is the initial concentration value (g CO2/kg H2O). c: is a constant determined by the rate of growth. Given a carrying capacity of 1000 g CO2/kg H20, fit a sigmoidal model for the following absorption data and test the statistical goodness of the fit: t (min) C (g CO2/kg H2O) 6. 9. 12 18 24 27 1 19 80 288 892 993 999
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