Under what conditions does the direct proportionality between temperature and pressure hold true in a vacuum system?

The ideal gas law is used to describe the relationship between temperature and pressure in a vacuum system. According to the ideal gas law, the pressure of a gas is directly proportional to its temperature when the volume and the number of gas molecules are constant. This relationship can be expressRead more

The ideal gas law is used to describe the relationship between temperature and pressure in a vacuum system. According to the ideal gas law, the pressure of a gas is directly proportional to its temperature when the volume and the number of gas molecules are constant. This relationship can be expressed mathematically as:

P ∝ T

Where:

P is the pressure of the gas

T is the temperature of the gas

In a vacuum system, where the volume is typically constant, the ideal gas law can be used to predict how changes in temperature will affect the pressure. As the temperature of a gas in a vacuum system increases, the pressure of the gas also increases. Conversely, when the temperature decreases, the pressure decreases as well.

It is important to note that this relationship holds true when the volume and the number of gas molecules remain constant. If the volume or the number of gas molecules changes, the relationship between temperature and pressure may become more complex. However, in a vacuum system where the volume is typically constant, the direct proportionality between temperature and pressure is a useful approximation.

Source: http://hyperphysics.phy-astr.gsu.edu/hbase/Kinetic/idegas.html

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The direct proportionality between temperature and pressure holds true in a vacuum system under the following conditions: Constant Volume: The volume of the gas remains constant. In a vacuum system, the volume is typically fixed, which allows for a direct relationship between temperature and pressurRead more

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

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