College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Textbook Question
Chapter 12, Problem 65PE
(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 cm3 of oxygen to the cornea if its surface area is 1.00 cm2?
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The partial pressure of oxygen in the lungs is about 150 mm of Hg. (The partial pressure is the pressure of the oxygen alone, if all other gases were removed.) This corresponds to a concentration of 5.3 × 1024 molecules per m3. In the oxygen-depleted blood entering the pulmonary capillaries, the concentration is 1.4 × 1024 molecules per m3. The blood is separated from air in the alveoli of the lungs by a 1-μm-thick membrane. What is the rate of transfer of oxygen to the blood through the 5 × 10-9 m2 surface area of one alveolus? Give your answer in both molecules/s and μmol/s. Assume The diffusion coefficient for oxygen in tissue is 2 × 10-11 m2/s. What is the same rate of transfer in μmol/s. Give your answer to 1 significant figure.
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Insects do not have lungs as we do, nor do they breathe through their mouths. Instead, they have a system of tiny tubes, called tracheae, through which oxygen diffuses into their bodies. The tracheae begin at the surface of the insect's body and penetrate into the interior. Suppose that a tracheae is 1.83 mm long with a cross-sectional area of 1.47 x 10-9m2. The concentration of oxygen in the air outside the insect is 0.651 kg/m3, and the diffusion constant is 1.79 x 10-5 m2/s. If the mass per second of oxygen is diffusing through a trachea is 1.77 x 10-12 kg/s, then find the oxygen concentration at the interior end of the tube.
Chapter 12 Solutions
College Physics
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