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Fick’s Law of Diffusion Calculator

💧 Diffusion, osmosis & transport. Use the Fick’s law of diffusion formula to find rate of diffusion, surface area, concentration difference, thickness: pick the value you want, type the others, and the answer updates as you go.

rate∝surface area×difference in concentrationthickness of membrane\text{rate} \propto \dfrac{\text{surface area} \times \text{difference in concentration}}{\text{thickness of membrane}}
Rate of diffusion50 units

Pick the ○ next to the value you want to find, fill in the others, and it solves as you type.

What each letter means

QuantityUnit
Rate of diffusionunits
Surface areacm²
Concentration differenceunits
Thicknessµm

Worked example

Find the rate of diffusion when Surface area = 10 cm², Concentration difference = 5 units, Thickness = 1 µm.

Using rate ∝ (surface area × difference in concentration)/(thickness of membrane): Rate of diffusion = 50 units.

Frequently asked questions

What is the formula for Fick’s law of diffusion?

rate ∝ (surface area × difference in concentration)/(thickness of membrane).

What do the letters stand for, and what units are used?

Rate of diffusion in units, Surface area in cm², Concentration difference in units, Thickness in µm.

How do you calculate rate of diffusion?

Put the values into rate ∝ (surface area × difference in concentration)/(thickness of membrane). For example, with Surface area = 10 cm², Concentration difference = 5 units, Thickness = 1 µm, rate of diffusion = 50 units.

Can I solve for a different value?

Yes. In the calculator above, pick the circle next to any value (rate of diffusion, surface area, concentration difference, thickness) and fill in the others: it rearranges the formula for you.

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