1. The adsorption of propane on a zeolite has been measured and the following da

Question

1. The adsorption of propane on a zeolite has been measured and the following data have been obtained at 308 K. n represents the number of moles adsorbed at a certain pressure, P. Such adsorption data may be represented by using different equations, such as Langmuir and Freundlich equations. The Langmuir and Freundlich equations are written as nmand n bPa, respectively. Determine the constants in both equations and then decide which equation fits better to the adsorption data given below 1+kP P, kPa n, mol/k 1.11 2.07 3.16 4.79 11.49 24.96 48.15 0.542 0.928 1.221 1.439 1.731 1.915 2.034

Explanation / Answer

I developed the MATLAB code for this:

Code for Freundlich isotherm:

clc
clear

P = log([1.11,2.07,3.16,4.79,11.49,24.96,48.15])';
n = log([0.542,0.928,1.221,1.439,1.731,1.915,2.034])';
P = [ones(7,1) P];

B = P ;

intercept(b) = 0.7161, slope(a) = 0.3151

Code for Langmuir isotherm:

clc
clear

P = 1./([1.11,2.07,3.16,4.79,11.49,24.96,48.15])';
n = 1./([0.542,0.928,1.221,1.439,1.731,1.915,2.034])';
P = 1./[ones(7,1) P];

B = P ;

m = 1/B(2);
k = B(2)/B(1);

intercept(1/m): -62.3808 ; k = -0.0148

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