# The extent to which surface area to volume ratio on an object affects the rate of its heat loss

Background Knowledge: The surface area to volume ratio of an object is determined by dividing the surface area by the volume and putting it into a ratio of one Each point is a substrate that is transformed along the pathway.

The equations for the surface area and volume of a sphere are: and where r is the radius of the sphere. The specific heat capacity of a substance is the heat energy required to raise one kilogram of the material by one Kelvin or one degree centigrade - it is usually measured in J kg-1 K As the surface area of an organism is what affects heat loss, you are unlikely to get small animals such as insects in the North Pole and large animals such as polar bears in the desert but you do get large animals such as elephants in the desert and small animals such as rabbits in the arctic For the purpose of this question I am assuming that any additional convection effect of that lateral movement can be ignored.

Gillooly, J. Heat is generally transferred in three different methods: - - Conduction - Convection - Radiation Conduction is energy transferred from the hotter part of a solid to the colder part of conduction Mathematically, that tells us that the denominator volume increases faster relative to the numerator surface area as object size increases.

All these processes can happen to heat. For example, although photosynthesis is a complex biochemical process, we can readily estimate how fast it takes place by measuring the rate at which plants exchange gases with the environment.

Another important ecological trait that is influenced by body size and temperature is rmax, the intrinsic rate of population increase i.

When it does this, it forms a more spherical shape and this also gives better heat retention

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