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=== Relation with kinetic theory and ideal gases === As the pressure on a gas increases, the volume of the gas decreases because the gas particles are forced closer together. Most gases behave like [[ideal gas]]es at moderate pressures and temperatures. The technology of the 17th century could not produce very high pressures or very low temperatures. Hence, the law was not likely to have deviations at the time of publication. As improvements in technology permitted higher pressures and lower temperatures, deviations from the ideal gas behavior became noticeable, and the relationship between pressure and volume can only be accurately described employing [[real gas]] theory.<ref name="levine_2">Levine, Ira. N. (1978), p. 11 notes that deviations occur with high pressures and temperatures.</ref> The deviation is expressed as the [[compressibility factor]]. Boyle (and Mariotte) derived the law solely by experiment. The law can also be derived theoretically based on the presumed existence of [[atom]]s and [[molecule]]s and assumptions about motion and perfectly elastic collisions (see [[kinetic theory of gases]]). These assumptions were met with enormous resistance in the [[positivist]] scientific community at the time, however, as they were seen as purely theoretical constructs for which there was not the slightest observational evidence. [[Daniel Bernoulli]] (in 1737β1738) derived Boyle's law by applying [[Newton's laws of motion]] at the molecular level. It remained ignored until around 1845, when [[John Waterston]] published a paper building the main precepts of kinetic theory; this was rejected by the [[Royal Society of England]]. Later works of [[James Prescott Joule]], [[Rudolf Clausius]] and in particular [[Ludwig Boltzmann]] firmly established the [[kinetic theory of gases]] and brought attention to both the theories of Bernoulli and Waterston.<ref name="levine_3">Levine, Ira. N. (1978), p. 400 β Historical background of Boyle's law relation to Kinetic Theory</ref> The debate between proponents of [[Thermodynamics|energetics]] and [[atomism]] led Boltzmann to write a book in 1898, which endured criticism until his suicide in 1906.<ref name="levine_3" /> [[Albert Einstein]] in 1905 showed how kinetic theory applies to the [[Brownian motion]] of a fluid-suspended particle, which was confirmed in 1908 by [[Jean Perrin]].<ref name="levine_3" />
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