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

Volumetric analysis, how to determine the concentration of citric acid give...

how to determine the concentration of citric acid given that it reacts with sodium hydroxide

What is peroxodisulphuric acid, Q. What is Peroxodisulphuric Acid? It i...

Q. What is Peroxodisulphuric Acid? It is also known as perdisulphuric acid or simply persulphuric acid. The acid can be obtained  by the action of chlorosulphonic acid on H 2 0

Kinetic theory of gases, The kinetic theory of gases:   The gas laws w...

The kinetic theory of gases:   The gas laws were empirically developed from experimental observations. The kinetic theory of gases assumes that the molecules or atoms of a gas

Lanthanides and actinides, can you describe how the valance shell electron ...

can you describe how the valance shell electron configuration affectst the reactivity of the elements in the lanthanides and actinides series?

Endothermic Reaction, Why is ATP considered an endothermic reaction ?

Why is ATP considered an endothermic reaction ?

Perkins method, Preparation of cycloalkane by perkins method

Preparation of cycloalkane by perkins method

Rusting Nails Prac Report, I get stuck on how to explain things.. eg I need...

I get stuck on how to explain things.. eg I need to explain that you coat 5 nails and put one different nail with a different coating into a different substance etc, and i just can

Stoichiometry, how many mole ratios can be obtained from the following equa...

how many mole ratios can be obtained from the following equation? Na2S+Cd(NO3)2-2NaNo3+CdS

For the dumb-bell shaped orbital, For the dumb-bell shaped orbital, the val...

For the dumb-bell shaped orbital, the value of  l is: (1) 3        (2) 1        (3) 0        (4) 2 Ans: 1

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