The oxygen molecule will take 8.33 X 10⁷ s to diffuse in blood to travel a distance of 1 m and it will take 1.33 X 10⁷ s for oxygen molecule to diffuse across a capillary that has a diameter of 40 μm.
(a) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s
The distance moves by an oxygen molecules in blood = x = 1 m = 100 cm
Time taken by the blood to diffuse = t
The expression for the diffusion in three dimension is:
= t = x² / 6D
= t = 100 X 100 / 6 X 2 X 10⁻⁵
= t = 8.33 X 10⁷ s
(b) The diffusion coefficient of oxygen in blood = D = 2 X 10⁻⁵ cm²/s
The distance moves by an oxygen molecules in blood = x = 40 μm
Time taken by the blood to diffuse = t
The expression for the diffusion in three dimension is:
= t = x² / 6D
= t = 40 X 40 / 6 X 2 X 10⁻⁵
= t = 1600 / 12 X 10⁻⁵
= t = 133.33 X 10⁵
= t = 1.33 X 10⁷ s
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