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Engineering, 31.03.2020 19:31 jerenasmith8

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

PM=PM0exp(−Qp/RT)

where PM0 and Qp are constants for a given gas-polymer pair. Consider the diffusion of water through a polystyrene sheet 30 mm thick. The water vapor pressures at the two faces are 20 kPa and 1 kPa, which are maintained constant. Compute the diffusion flux [in(cm^3 STP)/cm^2⋅s] at 350 K? For this diffusion system,

PM0=9.0×10^−5(cm^3 STP)(cm)/cm^2. s. Pa
Qp=42,300J/mol

Assume a condition of steady-state diffusion.

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