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Insects do not have lungs as we do, nor do they breathe through their mouths. In

ID: 2214685 • Letter: I

Question

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 trachea is 1.9 mm long with a cross-sectional area of 2.1 10-9 m2. The concentration of oxygen in the air outside the insect is 0.23 kg/m3, and the diffusion constant is 1.1 10-5 m2/s. If the mass per second of oxygen diffusing through a trachea is 1.7 10-12 kg/s, find the oxygen concentration at the interior end of the tube.

Explanation / Answer

m=(DA (Coutside-Cinside))t/L 1.7 X 10^-12 = 1.1X 10^-5 X 2.1 X 10^-9 ( 0.16 -C) / 1.9 X 10^-3 C = 0.0201