The permeability coefficient of a type of small gas molecule in a polymer is dependent on...

The permeability coefficient of a type of small gas molecule in a polymer is dependent on absolute temperature according to the following equation:

where PM0 and Qp are constants for a given gas–polymer pair. Consider the diffusion of hydrogen through a poly(dimethyl siloxane) (PDMSO) sheet 20 mm thick. The hydrogen pressures at the two faces are 10 and 1 kPa, which are maintained constant. Compute the diffusion flux [in (cm3 STP)/cm2 s] at 350 K. For this diffusion system

PM0 = 1.45 × 10−8 (cm3 STP) (cm)/(cm2  s  Pa)

Qp = 13.7 kJ/mol

Assume a condition of steady-state diffusion.