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

Discuss the ion exchange process of water softening, Discuss the ion exchan...

Discuss the ion exchange process of water softening. Give an account of the variety of mechanisms of Lubrication. Write notes on bulk and solution polymerization techniques.

Explain the gibbs phase rule for multicomponent systems, Explain the Gibbs ...

Explain the Gibbs Phase Rule for Multicomponent Systems? The Gibbs phase rule for a pure substance was written F = 3 - P. We now consider a system of more than one substance an

What is the origin of fossil fuels, Q. a. What is the origin of fossil fuel...

Q. a. What is the origin of fossil fuels?      b. List three fossil fuels.      c. Are fossil fuels a renewable resource? Answer: a. Coal, natural gas and oil. b. Fossil fue

The equation, The equation Δ x Δp ≥ h/ 4Π   shows: (1) de-Broglie relat...

The equation Δ x Δp ≥ h/ 4Π   shows: (1) de-Broglie relation         (2) Heisenberg's uncertainty principle   (3) Aufbau principle (4) Hund's rule ans:  Heisenberg'

Solid state, Copper crystallizes into a FCC structure and the unit cell has...

Copper crystallizes into a FCC structure and the unit cell has length of edge 3.61 x10-8 cm. Calculate the density of copper if the molar mass of Cu is 63.5 g

An electronic transition from 1s orbital of an atom causes, An electronic t...

An electronic transition from 1s orbital of an atom causes: (1) Absorption of energy (2) Release of energy (3) Both release or absorption of energy (4) Unpredictable

Explain the term forging with diagram, Explain the term Forging with diagra...

Explain the term Forging with diagram Forging is shaping of metal either by steady compression or impact between a hammer or ram and anvil. Related to pressing of metal or

Directive effect in mono substituted benzene derivatives, Directive effect ...

Directive effect in mono substituted benzene derivatives: The substituent previously present on the benzene ring directs the incoming substituent to inhabit ortho (2 or 6), met

boron- s block element , Boron The only nonmetallic element in group 13...

Boron The only nonmetallic element in group 13, boron has a strong tendency to covalent bonding. It's lonely complex structural chemistry arises from the (2 s )2(2 p )1 configur

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