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Predicting gas-liquid diffusivities, Predicting gas-liquid diffusivities,…
Predicting gas-liquid diffusivities
EMPIRICAL EQUATIONS
OTHER EQUATIONS, SUCH AS THOSE PROPOSED BY WILKE AND CHANG AND OTHMER AND THAKAR, USE EMPIRICAL APPROACHES AND HAVE BEEN TESTED FOR ACCURACY IN VARIOUS SYSTEMS
OTHMER AN THAKAR
WILKE AND CHANG
THE EYRING EQUATION, BASED ON LIQUID STRUCTURE AND ABSOLUTE RATE THEORY, TAKES INTO ACCOUNT THE ACTIVATION ENERGY FOR VISCOSITY AND DIFFUSION
EXISTING DIFFUSIVITY EXPRESSIONS
1. GAS-LIQUID DIFFUSION
LIMITATIONS
THE MAIN LIMITATION OF THE STOKES-EINSTEIN EQUATION IS THE NEED FOR EXPERIMENTAL CALCULATION OF THE ASSOCIATION NUMBER FOR ASSOCIATED SYSTEMS
HYDRODYNAMIC APPROACH
VARIOUS EQUATIONS HAVE BEEN DEVELOPED TO PREDICT DIFFUSIVITIES IN SYSTEMS INVOLVING A GAS SOLUTE DIFFUSING THROUGH A LIQUID SOLVENT
THE STOKES-EINSTEIN EQUATION WAS DEVELOPED USING A HYDRODYNAMIC APPROACH, SPECIFICALLY STOKES LAW FOR DRAG ON A SPHERICAL PARTICLE
AKGERMAN MODIFIED AND EXTENDED GAINER AND METZNER'S STUDY, USING ABSOLUTE RATE THEORY AND A SIGNIFICANT LIQUID STRUCTURE MODEL, TO PROPOSE A NEW EQUATION FOR GAS-LIQUID SYSTEMS
AKGERMAN'S MODIFICATION
Akgerman’s equation
2. LIQUID STRUCTURE AND ABSOLUTE RATE THEORY
EYRING EQUATION
GAINER AND METZNER PROPOSED A METHOD FOR CALCULATING ACTIVATION ENERGY DIFFERENCES IN GAS-LIQUID SYSTEMS, BUT IT CANNOT BE APPLIED TO GAS-LIQUID SYSTEMS
GAINER AND METZNER'S STUDY
STOKES-EINSTEIN EQUATION
Predicting gas-liquid diffusivities
VISCOSITY OF SOLVENT
AKGERMAN EQUATION
THE GLASSTONE EQUATION USES THE VISCOSITY OF THE SOLVENT AT DIFFERENT TEMPERATURES TO CALCULATE THE ACTIVATION ENERGY OF JUMPING FOR LIQUIDS
JUMPING ENERGIES ARE ASSOCIATED WITH DIFFERENT MOLECULES AND CAN BE CALCULATED USING VARIOUS EQUATIONS
GLASSTONE EQUATION
AKGERMAN PROPOSED AN EQUATION THAT TAKES INTO CONSIDERATION MOLECULAR INTERACTIONS BETWEEN SOLUTE-SOLVENT AND SOLVENT-SOLVENT PAIRS TO CALCULATE ACTIVATION ENERGIES
3. CALCULATION OF ACTIVATION ENERGY
JUMPING ENERGIES
PERCENT DEVIATION IS CALCULATED BY COMPARING EXPERIMENTAL AND CALCULATED VALUES USING DIFFERENT EQUATIONS
REFERENCES TO INDIVIDUAL DATA POINTS CAN BE FOUND IN THE LAST COLUMN OF THE TABL
E
REFERENCES
THE PRESENTED EQUATIONS WERE APPLIED TO OVER 250 DATA POINTS FOR GAS-LIQUID SYSTEMS, WITH PERCENT DEVIATIONS FROM EXPERIMENTAL VALUES REPORTED
PERCENT DEVIATION
4. EXPERIMENTAL DATA
GAS-LIQUID SYSTEMS
CALCULATES
The number of molecules around the central A molecule
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Activation energy difference
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Activation energy difference
Link Title
Activation
energy of jumping for liquids
