Problem Set 7.pdf

# Problem Set 7.pdf - UNIVERSITY OF ARIZONA DEPARTMENT OF...

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UNIVERSITY OF ARIZONA DEPARTMENT OF CHEMICAL AND ENVIRONMENTAL ENGINEERING CHEE 305 TRANSPORT PHENOMENA SPRING 2017 Problem Set 7 Due: Friday, April 14 1. A container is filled with pure oxygen gas at 1 atm and 25 °C. Oxygen leaks from the container to the environment (atmospheric air at 1 atm and 25 °C, 21 mol% O 2 ) due to diffusion through the container wall, which is made of polyethylene (PE) with a thickness 1 = 0.3 cm. To reduce the leak, it is proposed that a thin layer of latex coating (LC) be applied to the exterior of the container (see figure). If the maximum tolerable leak flux is 1.5 × 10 -13 mol O 2 /cm 2 s at steady state, determine the minimum thickness of the latex coating. Assume that mass transfer between the surface of the latex coating and atmospheric air is very fast. Additional information: s cm 10 7 . 1 D 2 7 PE , O 2 s cm 10 0 . 1 D 2 8 LC , O 2 The solubility of O 2 in each solid is given by 2 O i 2 O P K c , with: atm cm mol 10 2 . 1 K 3 6 PE , atm cm mol 10 5 . 6 K 3 7

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