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

Corrosion, classification corrosion

classification corrosion

Assignment, Nitro alkanes and alkyl nitries (preparation and properties)

Nitro alkanes and alkyl nitries (preparation and properties)

Electrolysis of water in the presence of an indicator, Electrolysis of Wate...

Electrolysis of Water in the Presence of an Indicator • Place ~ 50 mL of the thawed cabbage juice in the same glass container (after rinsing) used in Step 1. • Insert the ele

Define gas constant, The gas constant, also known as the universal, usually...

The gas constant, also known as the universal, usually denoted by symbol R is a physical constant which is featured in a large number of fundamental equations in the physical scien

Symmetry operations and symmetry elements, Symmetry is a property of molecu...

Symmetry is a property of molecules having more than one atom of the same kind, with equal bond lengths and/or bond angles. As like the high symmetry of the SF6 molecule (Fig. 1. a

What are metallurgy principles?, As already discussed, the reduction of the...

As already discussed, the reduction of the metallic oxide usually heating it with some reducing agent such as carbon, carbon monoxide, hydrogen or some other metal. The reducing ag

Gas laws, molecular chlorine and molecular fluorine combine to form a gaseo...

molecular chlorine and molecular fluorine combine to form a gaseous product.Under the same conditions of temperature and pressure it is found that one volume of Cl2 reacts with thr

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

Define bond angle, The angle among the lines joining the nuclei of the bond...

The angle among the lines joining the nuclei of the bonded atom with a central atom is known as bond angle.

Organic chemistry, Explain in words why hydroboration leads to anti-Markovn...

Explain in words why hydroboration leads to anti-Markovnikov addition of hydrogen whereas most electrophilic addtions to alkenes result in Markovnikov addition.

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