45. Insects do not have lungs as we do, nor do they breathe through their mouths. Instead, they have a system of tiny tubes, called tra- cheae, through which oxygen diffuses into their bodies. The tracheae begin at the surface of an 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-º m². The concentration of oxygen in the air outside the insect is 0.28 kg/m², 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 X 10-12 kg/s, find the oxygen concentra- tion at the interior end of the tube.

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Chapter12: Fluid Dynamics And Its Biological And Medical Applications
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45.
Insects do not have lungs as we do, nor do they breathe through
their mouths. Instead, they have a system of tiny tubes, called tra-
cheae, through which oxygen diffuses into their bodies. The tracheae begin
at the surface of an 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-º m².
The concentration of oxygen in the air outside the insect is 0.28 kg/m², 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 X 10-12 kg/s, find the oxygen concentra-
tion at the interior end of the tube.
Transcribed Image Text:45. Insects do not have lungs as we do, nor do they breathe through their mouths. Instead, they have a system of tiny tubes, called tra- cheae, through which oxygen diffuses into their bodies. The tracheae begin at the surface of an 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-º m². The concentration of oxygen in the air outside the insect is 0.28 kg/m², 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 X 10-12 kg/s, find the oxygen concentra- tion at the interior end of the tube.
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