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

Crystal field splitting in tetrahedral field, Q. Crystal Field Splitting in...

Q. Crystal Field Splitting in Tetrahedral Field? A tetrahedron can be viewed as a part of cube where the metal ion occupies the centre of the cube and the four ligands are plac

Properties of ethyl alcohol, Properties of ethyl alcohol Physical prope...

Properties of ethyl alcohol Physical properties It is a colorless liquid with a characteristic alcoholic smell. Its boiling point is 351K It is neutral towards litmus

Saturation of magnesium nitrate, How can I figure out when a solution of ma...

How can I figure out when a solution of magnesium nitrate will be saturated in terms of its conductivity at room temperature?

Lime soda process, state functions of lime and soda in lime soda process

state functions of lime and soda in lime soda process

Uses of urea or carbamide - carboxylic acids, Uses of Urea or Carbamide - C...

Uses of Urea or Carbamide - Carboxylic Acids (a) Urea is used mainly as a nitrogen fertilizer. It has 46.4% nitrogen. (b) Urea is used in the manufacture of formaldehyde-ure

Intrinsic semiconductor become an extrinsic semiconductor, When does intrin...

When does intrinsic semiconductor become an extrinsic semiconductor? Illustrate. Semiconductor doping is the process which changes an intrinsic semiconductor to an extrinsic se

Describe about halide minerals, Q. Describe about Halide Minerals? High...

Q. Describe about Halide Minerals? Highly electropositive alkali and alkaline earth metals tend to form halide salts, which being soluble in water are washed away into the ocea

Important synthetic rubbers: terylene, Terylene: Preparation:  teryle...

Terylene: Preparation:  terylene is prepared by a polyconensation reaction between a dicarboxylic acid and a idol. Properties: a fully aliphatic polyester are not of muc

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