Equilibrium equation derivation, Chemistry

Assignment Help:
My problem is how should the specific equation be derived using boundary condition. I have the final equation (which is based on Langmuir isotherm) and I know the boundary condition as well so I just need to know how should I reach to the final equation using boundary condition? step by step.
The model is on the assumptions that (i) in a As–HA binary system, sorbent binding sites form complexes represented as SA when arsenic binding occurs and complexes denoted SH when HA is bound and (ii) equilibrium can be expressed as S+A ? SA, where K1 = [SA]/[S][A], S + H ? SH, where K2 =[SH]/[S][H] and A+H ? AH where K3=[AH]/[A][H]. In this model, considering an interactions resulting in SAH complexes, the equilibrium can be expressed as SA+H ? SAH, where K1,2=[SAH]/[SA][H], SH+A ? SHA, where K2,1=[SHA]/[SH][A] and S+AH ? SAH where K3,3=[SAH]/[S][AH]. Then one can assume S+A+H ? SAH and S+H+A ? SHA, where K=K1K1,2 = K2K2,1= K3K3,3. Assuming that the sorption system is in equilibrium (there are no net changes of [SA], [SH] and [SAH] with respect to time), the following can be written: d[SA]/dt = 0 , d[SH]/dt=0 and d[SAH]/dt=0 and [S0]=[S]+[SA]+[SH]+[SAH]
In such case, the model can be presented to the form:
qAs=(qmax Ce [As]{1+(K1/K )Ce [HA] })/({K1+Ce [As]+(K1/K2 ) Ce [HA]+2(K1/K) Ce [As] Ce [HA]})
So I need to know how I should reach to the above final equation using the mentioned assumptions?

Related Discussions:- Equilibrium equation derivation

Stoichiometry HW Help, Need help figuring out the proper steps on how to so...

Need help figuring out the proper steps on how to solve: What volume of 1.25M HCl in liters is needed to react completely (with nothing left over) with 0.750L of 0.200M Na2CO3? Usi

Chemical formular, copper reacts with oxygen to form two oxide X and Y .On ...

copper reacts with oxygen to form two oxide X and Y .On analysis 1.535g of X yielded 1.365g of copper and 1.450g of Y yielded 1.160g of copper. [I] determine the chemical formula o

Solutions, how many moles of KOH are needed to exactly neutralize 500ml of ...

how many moles of KOH are needed to exactly neutralize 500ml of 1.5M HCL solution?

Determination of a given acetic acid solution, THE VOLUMETRIC DETERMINATION...

THE VOLUMETRIC DETERMINATION OF A GIVEN ACETIC ACID SOLUTION REQUIRED BY USING 100 ML. OF A STANDARD CAUSTIC SODA SOLUTION. Compound Microscope 1. Procedure for st

How does the magnitude of decide the real configuration, Draw a figure to s...

Draw a figure to show splitting of degenerate d orbitals in an octahedral crystal field. How does the magnitude of decide the real configuration old orbitals in a difficult enti

A covalent bond between two elements, A covalent bond is likely to be form...

A covalent bond is likely to be formed between two elements which: (1) Have similar electronegativities (2) Have low ionization energies (3) Have low melting points (4

Determine fraction of the atomic volume, The nucleus of an atom can be assu...

The nucleus of an atom can be assumed to be spherical. The radius of the nucleus of mass number 7  is given by 1.25x 10 -13 A 1/3 cm  Radius of atom is one A. If the mass number

There is no difference between a2p and a 3p orbital, There is no differe...

There is no difference between a2p and a 3p  orbital regarding: (1) Shape (2)Size (3)Energy (4) Value of Ans: Shape

Which processes is used to harden a steel, Which processes is used to harde...

Which processes is used to harden a steel? Quenching process is used to harden the steel

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd