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Mass Diffusivity (solid)

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Last modified by
on
Sep 29, 2022, 12:51:32 AM
Created by
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Dec 14, 2014, 11:32:18 PM
D=D0e-EART
(D0)Max Diffusion Coefficient
(EA)Activation Enegry for Diffusion
(T)Temperature
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The Mass Diffusivity of a Solidcalculator computes the diffusivity or diffusion coefficient for a pair of materials based on the max diffusion coefficient, activation energy and absolute temperature.

INSTRUCTIONS: Choose units and enter the following:

  • (D0) This is the maximum diffusion coefficient assuming theoretical infinite temperature
  • (EA) This is the activation energy for diffusion, the height of the potential energy barrier to at which diffusion will begin
  • (T) - This is the Kelvin absolute temperature of the material

Mass Diffusivity of a Solid (D):  The diffusivity is returned in stokes (cm2/s).

Diffusivity Equation

The Math  / Science

The Mass Diffusivity of Solid equation computes the mass diffusivity or diffusion coefficient for a pair of materials.  The formula for the mass diffusivity of a solid  ]is:

              D =D0exp(-EART)

where:

  • D is the Mass Diffusivity of Solid 
  • D0 is the maximum diffusion coefficient assuming theoretical infinite temperature
  • EA is the activation energy for diffusion, the height of the potential energy barrier to at which diffusion will begin
  • T is the Kelvin absolute temperature of the material
  • R is the universal gas constant.

The diffusivity or diffusion coefficient characterizes the relationship between the molar flux due to molecular diffusion and the gradient force of a c concentration of the material's molecules that drives diffusion.

Diffusivity is specified for one substance relative to another.  In this case there are two substances labeled substance 1 and substance 2. Each of the two substances is at a different temperature and at that temperature exhibits a characteristic of dynamic viscosity.


This equation, Mass Diffusivity (solid), references 2 pages
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