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Under what conditions does the direct proportionality between temperature and pressure hold true in a vacuum system?
The direct proportionality between temperature and pressure holds true in a vacuum system under the following conditions:
When both the volume and the number of gas molecules are constant, the ideal gas law can be used to describe the direct proportionality between temperature and pressure in a vacuum system.
It is important to note that the ideal gas law is an approximation and may not hold true under all conditions. However, in a vacuum system with constant volume and number of gas molecules, the direct proportionality between temperature and pressure is a useful approximation.
Source: HyperPhysics: Ideal Gas Law – http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/idegas.html