Uptake and Permeation of Atmospheric Oxygen in PVC

Consider a polyvinyl chloride sheet 0.1-mm thick with a one-sided area of 1 m. Its density is 1.1 g/cm and it is exposed to atmospheric air at 100 kPa. We wish to calculate (1) the uptake of oxygen from the air, and (2) the daily rate of permeation that prevails when one face of the sheet is in contact with the atmosphere, and the other is in contact with pure nitrogen at the same total pressure of 100 kPa. 

We start with Equation 3.7 and convert from C (cc STP 02/m ) to mass 

Permeabilities and Solubilities of Gases in Polymers (T = 25dC unless otherwise indicated) 

Here P02 equals the partial pressure of oxygen in the air (Pa), pyc is the volume of the sheet (cm ), and Mq and are the molar mass and volume (STP) of the oxygen, respectively. 

Using the values for solubility given in Table 3.6 we obtain 

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