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Surface/Volume

Autor Alan E. Rubin
en Limba Engleză Paperback – mar 2023
This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect.
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Specificații

ISBN-13: 9783031237485
ISBN-10: 303123748X
Pagini: 200
Ilustrații: XVII, 182 p. 134 illus., 109 illus. in color.
Dimensiuni: 155 x 235 x 11 mm
Greutate: 0.35 kg
Ediția:1st ed. 2023
Editura: Springer
Locul publicării:Cham, Switzerland

Cuprins

Introduction.- A Truncated History of Geometry.- Middle School Math.- Asteroids, Moons, Planets, and Meteorites.- Geologic Processes.- Geometry of Life.- Biochemistry.- Chemical Reactions.- Ecology.- Manufacturing.

Textul de pe ultima copertă

This book explains that diffusion, osmosis, dissolution, evaporation, and heat loss all preferentially affect small bodies due to their high surface/volume ratios. Because surface area increases as the square of length, but volume (and mass) increase as the cube, large objects have low surface/volume ratios and small objects have high surface/volume ratios. This simple physical constraint governs much of the physical world. It accounts for why the Earth has active volcanoes, but the Moon does not, why the human brain has numerous folds, why deciduous trees lose their leaves every Fall, and why nanoparticles of gold melt at surprisingly low temperatures. It is a phenomenon well known to every scientist, but this book is the first comprehensive treatment of this effect.

Caracteristici

Teaches the geometrical approach to nature Explores the physical processes in a variety of objects using surface/volume ratios Explains why the physical properties preferentially affect smaller bodies