Decades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus habitually walked on the bottom of lakes, extending their long necks up to the surface to breathe. Brachiosaurus had its nostrils on the top of its head. In 1977, Knut Schmidt-Nielsen pointed out that breathing would be too much work for such a creature. For a simple model, consider a sample consisting of 14.2 L of air at absolute pressure 2.00 atm, with density 2.40 kg/m3, located at the surface of a freshwater lake. Find the work required to transport it to a depth of 11.6 m, with its temperature, volume, and pressure remaining constant. This energy investment is greater than the energy that can be obtained by metabolism of food with the oxygen in that quantity of air.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter15: Fluid Mechanics
Section: Chapter Questions
Problem 33P: Decades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus...
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Decades ago, it was thought that huge herbivorous dinosaurs such as
Apatosaurus and Brachiosaurus habitually walked on the bottom of lakes,
extending their long necks up to the surface to breathe. Brachiosaurus had
its nostrils on the top of its head. In 1977, Knut Schmidt-Nielsen pointed out
that breathing would be too much work for such a creature. For a simple
model, consider a sample consisting of 14.2 L of air at absolute pressure
2.00 atm, with density 2.40 kg/m3, located at the surface of a freshwater
lake. Find the work required to transport it to a depth of 11.6 m, with its
temperature, volume, and pressure remaining constant. This energy
investment is greater than the energy that can be obtained by metabolism of
food with the oxygen in that quantity of air.
Transcribed Image Text:Decades ago, it was thought that huge herbivorous dinosaurs such as Apatosaurus and Brachiosaurus habitually walked on the bottom of lakes, extending their long necks up to the surface to breathe. Brachiosaurus had its nostrils on the top of its head. In 1977, Knut Schmidt-Nielsen pointed out that breathing would be too much work for such a creature. For a simple model, consider a sample consisting of 14.2 L of air at absolute pressure 2.00 atm, with density 2.40 kg/m3, located at the surface of a freshwater lake. Find the work required to transport it to a depth of 11.6 m, with its temperature, volume, and pressure remaining constant. This energy investment is greater than the energy that can be obtained by metabolism of food with the oxygen in that quantity of air.
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