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(a) Find the average time required for an oxygen molecule to diffuse through a 0.200-mm-thick tear layer on the cornea. (b) How much time is required to diffuse 0.500 $\mathrm{cm}^{3}$ of oxygen to the cornea if its surface area is 1.00 $\mathrm{cm}^{2} ?$
(a) $t=20 \mathrm{s}$(b) $t=1.25 \times 10^{4} \mathrm{s}=3.47 \mathrm{h}$
Physics 101 Mechanics
Chapter 12
Fluid Dynamics and Its Biological and Medical Applications
Fluid Mechanics
Rutgers, The State University of New Jersey
Simon Fraser University
University of Sheffield
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So we want to find out how long it will take for here to defuse or in a molecule to diffuse their wantto. Mm. So you simply is the formula equal, Toto to lady, which means times equal to the square by two d. So that's zero point to entertain. Part minus 23 all squared, divided by two in tow. The division constant. It is 1.0 doing to £10 my smile. We're considering the diffusion constant in water because cornea is mainly water. So on This turns out to be 20 seconds. Now for the second case going to find out this volume. How long it'll take for this volume off oxygen? Sure. Gettinto Cardia, off area. One point wants it to be the square for that. Think of it like this. Let's say this is our car near with our area on our oxygen is in a cubicle farm in front of it. Now, as time goes on, this whole cube moves into the cornea. It is a sequel. Do root too needy. So the volume is simply area times this distance. So that's area in total Todt. So the time is simply volume developed area All is fair. In one bite would be simple as that. So that is 0.5 into 10 5 minus Who was like you? I'm sorry. 0.5 centimeter cube on one centimeter cube. A stamp on my six meter cube, divided by our idea, is one centimeter square. So that's one minus four meter squared I was to be so that's two in tow. Our refuge in Constant is and they want on Skeletal into 10th on minus nine. Have you known about it constantly? Cool party. Three seconds. This is how long it would take for little quantify centimeter cube off gas too seeping. Do one centimeter square corny.
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