Cells are the basic structural and functional units of life. As life on earth has evolved into organisms of varying complexities, two basic laws of nature have dictated why cells have remained so small. Shorter is faster. This is true both in terms of diffusion and in terms of chemical and electrical movement. By minimizing the the distance between a cellÕs nucleus and and the numerous proteins and organelles that it must constantly regulate , a cell is maximizing the speed in which intercellular communications can take place while providing the ideal conditions for diffusion: a vital function in the life of a cell. Like wise, the surface area and volume of a cell are directly influential in the efficiency of the cellÕs nutrient absorption and waste expulsion processes. Since the cell membrane of a eukaryotic cell is its only source of nutrition, itÕs surface area must be large enough to allow the cellÕs organelles to receive the materia ls it needs. This is done by maximizing the surface area to volume ratio. By using the surface area and volume equations for a sphere(4¹r2 and 4/3¹r3) you can estimate the surface area of a small cell(5 µm) to be nearly 1,200,000 : 1. By modeling the growth rate of the surface area and volume of a sphere on a linear graph itÕs easily discernible that as the size of the sphere increases the ratio of surface area to volume dramatically decreases until finally the volume of the sphere surpasses the surf ace area. Simply, by minimizing its size, a cell is maximizing the speed at which it can communicate, the rate at which diffusion can occur, and the amount of surface area at itÕs disposal.

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### The Essay on Surface Area To Volume Ratio And The Relation To The Rate Of Diffusion

Aim and Background This is an experiment to examine how the Surface Area / Volume Ratio affects the rate of diffusion and how this relates to the size and shape of living organisms. The surface area to volume ratio in living organisms is very important. Nutrients and oxygen need to diffuse through the cell membrane and into the cells. Most cells are no longer than 1mm in diameter because small ...