Is there a method or reference to find calculated (theoritical) adsorbate concentration at equilibrium (qe cal) for fabric - Dye adsorption system to calculate the error functions. As in the attachment below
The theoretical values can be estimated by the equations developed from the Freundlich BET isotherm models, etc .;
But the values obtained by these models will serve only as an indication, at best they will inform us on the type of adsorption.
It is the experimental tests which will allow us to have more precise data on the adsorption capacities. However, the values found, with some exceptions, will remain lower than those obtained by the models
The theoretical values can be estimated by the equations developed from the Freundlich BET isotherm models, etc .;
But the values obtained by these models will serve only as an indication, at best they will inform us on the type of adsorption.
It is the experimental tests which will allow us to have more precise data on the adsorption capacities. However, the values found, with some exceptions, will remain lower than those obtained by the models
If I tell in very simple terms without complex chemistry, difference between the initial & present concentration will give you the adsorbate concentration. Moreover temperature is a controlling parameter alongwith solution pH. So it is better to try first and play with the parameters.
There are equations relating the absorption rate such as Langmuir and Freundlich et Al., which are function of concentration, and absorption rate for a determined temperature. In other words, there is a particular equilibrium absorption for each system to a determined temperature.
So you need to make some Lab-experiments to determine your equation parameters and therefore represent your data with such equation.
See example in reference below:
http://www.bioline.org.br/request?st08025
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