The formula to calculate the Concentration at x Distance during non-steady state diffusion is:
\[ C_x = C_0 + (C_s - C_0) \left(1 - \text{erf}\left(\frac{d}{2\sqrt{D t}}\right)\right) \]
Concentration at x Distance represents the concentration of the diffusing species at a distance of x from the surface. The Initial Concentration is the abundance of a constituent divided by the total volume of a mixture before diffusion or reaction. Surface concentration represents the concentration of diffusing species at the surface. Distance is the length across which the diffusion is taking place. Diffusion coefficient is the proportionality factor D in Fick's law. Diffusion Time represents the total time in which the diffusion was taking place.
Let's assume the following values:
Using the formula:
\[ C_x = 300 + (0.7 - 300) \left(1 - \text{erf}\left(\frac{0.01}{2\sqrt{800 \times 1000}}\right)\right) = 0.701887933909575 \]
The Concentration at x Distance is 0.701887933909575 Mole per Cubic Meter.