Diffusion of Gases across Alveolar-Capillary Membranes
The rate of diffusion of a gas across a membrane depends on following factors

1

The pressure difference across the membrane of the gas in the mixture - the higher the pressure difference the higher is rate of diffusion of the gas.  

2

The surface area of available for gas diffusion - the larger the area, the higher is the rate of diffusion.  

3

The solubility of the gas in water - the higher the solubility, the faster is the rate of diffusion.  

4

The thickness of the membrane - the larger the thickness, the slower is the rate of diffusion.  

5

The size of the gas molecule - the larger the size, the slower is the rate of diffusion  

 

In mathematical terms this can be written as :

Vgas = (P1 - P2) x A x D/T where:

Vgas

=

Rate of gas diffusion
(P1 - P2)

=

Pressure difference across the membrane
A

=

Surface Area of the membrane
D

=

Solubility of the gas/square root of the molecular weight
T

=

Thickness of the membrane