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## PowerPoint Slideshow about ' Diffusion-Reaction' - kaveri

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Naproxen Physical Properties

- Solubility of free acid [HA]o=1.37x10-4M
- Mw=230.36
- [HA]o = 315.6 gm/L. =0.315 mg/ml
- pKa= 4.57
- How long does it take a small particle ~ 0.1mm in radius to dissolve (in acid)?

At the interface the ionization increases the solubility and we have HA, A- and H+ diffusing species.

A-

Cs

H+

C=0

HA

h

Non Steady State Membrane Transport we have HA, A- and H+ diffusing species.

Assumptions we have HA, A- and H+ diffusing species.

- Stagnant fluid vi=0
- Steady State dC/dt = 0
- One dimensional

Transport Equation: One for each species we have HA, A- and H+ diffusing species.

Total HA + A we have HA, A- and H+ diffusing species.-

Total H=H we have HA, A- and H+ diffusing species.+ + HA

Resulting Equations we have HA, A- and H+ diffusing species.

Now add Boundary Conditions we have HA, A- and H+ diffusing species.

Interface BC’s

HA=HA0= solubility

KA = H+ A -/HA

dH+ /dx=dA - /dx=0 (can not penetrate boundary)

Solid

Bulk:

HA=0

A - = 0

H +=H + bulk

x

0

h

Solve these equations: Key assumptions we have HA, A- and H+ diffusing species.

- Equilibrium rate constants are fast relative to diffusion
- Equal diffusivities
- Equal film thickness

Resulting Equations we have HA, A- and H+ diffusing species.

Conclusion we have HA, A- and H+ diffusing species.

- Ionization at the interface accelerated dissolution…due to added species (A-)
- The effect can be orders of magnitude.
pH=pKa +2 ~ 102 increase in rate

Reversible Reaction: (Not include ionization at this time) we have HA, A- and H+ diffusing species.

Membrane Phase;

k1,m

,k-1,m

Km

Aqueous phase

k1,a

,k-1,a

Ka

Partition Coefficients

PCA

PCE

Equilibrium constant differs in two phases: Ka>Km

Transport Equations: In each Phase we have HA, A- and H+ diffusing species.

Transport Equations: In each Phase we have HA, A- and H+ diffusing species.

Transport Equations: In each Phase we have HA, A- and H+ diffusing species.

Let’s do one Phase (Olander reference) we have HA, A- and H+ diffusing species.

Material A diffuses into film m’ and can react to form E in film

Solution (Olander) we have HA, A- and H+ diffusing species.

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