Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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Question
The graph should look something like this but with different numbers used!
Transcribed Image Text:Adsorption data are often fit with the Freundlich adsorption isotherm equation:
q = K. C¹/(n+1)
where q is the solid phase concentration (mmol solute/kg adsorbent) and C is the equilibrium
concentration (mmol/L). The parameters K and n are constants that dictate the shape of the
isotherm (curve fit). Please determine the values of K and n.
a) Write the linearized form of the equation.
b) Transform the data as needed.
C (mmol/L)
0.3
6
20
q (mmol/kg)
118.1
300.4
485.0
c) Plot the appropriate data in Excel. Determine the slope and intercept of your linearized
equation.
Include a printout of your linearized data and plot with your solution. Make sure to
properly label your axes.
d) Determine K and n.
e) Plot the Freundlich adsorption equation using your values of K and n. Overlay this plot
with the data points in part b.
Include a printout of your plot with your solution. Make sure to properly label your axes.
f) What is the solid phase concentration at an equilibrium concentration of 4 mmol/L?
Transcribed Image Text:12:44
Calculation of K and n value
Graph between q and C is.
с
mmol/L mmol/kg
0.2
50.6952
4
98.6406
132.314
141.048
154.346
172.898
191.931
206.004
15
20
30
50
80
110
250
200
Part (e)
Freundlich Equation with calculate value is:
150
immovie
100
50
0
0
Answer 1 of 1
20
slope =
40
0.2222=
n+1=
1
n+1
1
0.2222
n=4.5-1
n = 3.5
1
n+1
Intercept = In(K)
4.2835 = ln(K)
Ke 4.2835
K = 72.49
= 4.5
q=K-(C)n+1
q=72.49-(C) 0.2222
q vs C graph
60
C (mmol/L)
80
100
120
Done
Part (f)
From the above graph and table, solid phase concentration can be read in table or graph at
C = 20 mmol/L, that is q = 141.048 mmol/kg
Expert Solution
Step 1
Adsorption data are often fit with the Freundlich adsorption isotherm equation:
where,
q = The solid phase concentration (mmol solute/kg adsorbent)
C = the equilibrium concentration (mmol/L).
Step by step
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