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What do you call a combination such as pressure temperature volume?
What do you call a dynamic interactive (model fractal pattern) such as pressure temperature volume that continues to repeat thru a process – affects the whole system? The efficacy of the whole (model fractal pattern) fails if anyone of the 3 functions fails?
Might find more info? Thanks,
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I have to assume that the “dynamic interactive model” to which you are referring is the “fractal pattern” that describes the behavior of gases, as a function of pressure – temperature – volume factors. The law that describes this interactive function is called the combined gas law.
The combined gas law is a gas law which combines Charles’s law, Boyle’s law, and Gay-Lussac’s law. These laws each relate one thermodynamic variable to another mathematically while holding everything else constant. Charles’ law states that volume and temperature are directly proportional to each other as long as pressure is held constant. Boyle’s law asserts that pressure and volume are inversely proportional to each other at fixed temperature. Finally, Gay-Lussac’s law introduces a direct proportionality between temperature and pressure as long as it is at a constant volume. The inter-dependence of these variables is shown in the combined gas law, which clearly states that:
“ The ratio between the pressure-volume product and the temperature of a system remains constant. ”
This can be stated mathematically as
where:
p is the pressure
V is the volume
T is the temperature measured in kelvins
k is a constant (with units of energy divided by temperature).
For comparing the same substance under two different sets of conditions, the law can be written as:
The addition of Avogadro’s law to the combined gas law yields the ideal gas law (Wikipedia, 2010).
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LikeDislikeThank you for your answer.
I guess my question is focused on ‘combined’ or holistic or perhaps holographic ‘patterns’ measures. If we look at an oil refinery every part, light bulb, switch, prime mover, pipe, vessel has something do with pressure temperature volume – affects the entire system.
What a wealth, what a grandeur of thought may spring from what slight beginnings — H.J. Baker
I gather the mathematics found in fractals is miniscule yet what amazing recurring patterns emerge.
Holistic thinking vs. reductionism?
Thanks,
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