The rate of diffusion of a substance across a cell-surface membrane can be modelled using Fick's law: rate of diffusion is proportional to (surface area x concentration difference) / thickness of membrane.
(a)A cell has a surface area of 400 micrometres-squared and a membrane thickness of 8.0 nm. Under a fixed concentration difference, its rate of diffusion of a solute is measured as 24 arbitrary units. A second, larger cell of the same type has a surface area of 900 micrometres-squared and the same membrane thickness, under the same concentration difference. Calculate the expected rate of diffusion for the second cell, assuming Fick's law applies directly.(3)
(b)Explain why, despite having a larger surface area, a larger cell (or organism) generally has a lower surface area to volume ratio than a smaller one, and why this can limit the maximum size of a single cell relying on diffusion alone for exchange.(3)
(c)A pathological thickening of a membrane increases its thickness from 8.0 nm to 12.0 nm, with surface area and concentration difference unchanged. Calculate the percentage change in the rate of diffusion this would cause.(2)
(Total for Question 10 is 8 marks)