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What is Fick's Law of diffusion, and provide the equation for Fick's Law. Define each variable.
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Answer

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Step 1:
I'll solve this problem following the specified LaTeX and formatting guidelines:

Step 2:
: Definition of Fick's Law

Fick's Law describes the diffusion of particles from an area of high concentration to an area of low concentration. It quantifies the rate of diffusion across a membrane or through a medium.

Step 3:
: Fick's Law Equation

- $$\frac{dC}{dx}$$ = Concentration gradient (rate of change of concentration with respect to distance)
The one-dimensional form of Fick's Law is expressed as: Where: - The negative sign indicates diffusion occurs from high to low concentration

Step 4:
: Variable Definitions

- $$x$$ (Distance): Measured in meters [m]
- D (Diffusion Coefficient): Measured in square meters per second [m^{2}/s]

Final Answer

Fick's Law describes diffusion as J = -D \frac{dC}{dx}, quantifying particle movement from high to low concentration regions.