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By applying suitable formulations, the linear model equation can be discretized to a linear system.
At the fixed set of experimental conditions, a model equation can be developed from which the percent removal corresponding to the load of the particular solute is determined.
This model equation can be used to predict the response for any combination of the factor values within the experimental space.
Van Deemter et al. (1956) were the first to demonstrate that for linear adsorption isotherms, the two-phase adsorption model equation can be replaced by one equivalent equation.
The product of the wavelet matrix and weighting coefficients makes up the kernel matrix G. Setting the reflectivities as model vector r, the forward model equation can be written in a linear equation as d = Gr.
The equation of the model equation can be expressed as (Ho and McKay 1999): frac{t}{{{text{q}}_{t} }} = frac{1}{{k_{2} {text{q}}_{e}^{2} }} + frac{1}{{{text{q}}_{e} }}t (11)The slope and intercept of the graph of t/q t against t give the values of q e and k 2, respectively.
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The full model equations can only be solved numerically.
We also sketch a numerical scheme with which the proposed model equations can be solved.
Developing one- and two-dimensional maps from the model equations can also provide this kind of information directly, and are much simpler than the full model equations.
The model equations can be simplified into a polynomial system that has 17 equations and 17 unknowns.
The model equations can be used in conjunction with commercial software, such as ASPEN+, in order to optimise basic designs for i-HIDiC.
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CEO of Professional Science Editing for Scientists @ prosciediting.com