Value of reduced temperature equal to that of reduced pressure?

In summary: The experiment involves collecting data on the compressibility factor of different gases at different reduced temperatures and pressures and then plotting the data on a graph.
  • #1
Outrageous
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I only know that a pure gas at same reduced temperature and reduced pressure will have same compressibility factor.
But I wondered is this correct? value of reduced temperature equal to that of reduced pressure?
from
http://www.answers.com/topic/law-of-corresponding-states


One more question,from wiki "In order to obtain a generalized graph that can be used for many different gases, the reduced pressure and temperature, and , are used to normalize the compressibility factor data. " What is the experiment? and How to draw the generalized graph ?
from
http://en.wikipedia.org/wiki/Compressibility_factor

THANK YOU
 
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  • #2
The Law of Corresponding States states that all pure gases at the same reduced temperature and pressure will have the same compressibility factor. The reduced temperature is defined as the absolute temperature divided by the critical temperature of the gas, and the reduced pressure is defined as the absolute pressure divided by the critical pressure of the gas. To draw a generalized graph for many different gases, the compressibility factor data from multiple gases is normalized using the reduced temperature and pressure values. The normalized data is then plotted on a graph and the resulting graph can be used to estimate the compressibility factor of any gas at the given reduced temperature and pressure.
 

1. What is the value of reduced temperature equal to that of reduced pressure?

The value of reduced temperature is defined as the temperature of a gas or liquid divided by its critical temperature, while the value of reduced pressure is defined as the pressure of a gas or liquid divided by its critical pressure. Therefore, the value of reduced temperature equal to that of reduced pressure is 1.

2. How is the value of reduced temperature equal to that of reduced pressure useful in scientific research?

The value of reduced temperature equal to that of reduced pressure is useful in scientific research because it allows for the comparison of thermodynamic properties between different gases or liquids. This is because the reduced temperature and reduced pressure are dimensionless quantities that take into account the critical properties of the substance, making it easier to compare and analyze data.

3. Can the value of reduced temperature equal to that of reduced pressure be used to predict phase behavior?

Yes, the value of reduced temperature equal to that of reduced pressure can be used to predict the phase behavior of a substance. By plotting the reduced temperature and reduced pressure on a phase diagram, the phase behavior of a substance can be determined. For example, at a reduced temperature and reduced pressure of 1, the substance will be at its critical point and exhibit unique properties.

4. How is the value of reduced temperature equal to that of reduced pressure related to the ideal gas law?

The value of reduced temperature equal to that of reduced pressure is related to the ideal gas law through the concept of compressibility. The ideal gas law assumes that the compressibility factor, which is a function of reduced temperature and reduced pressure, is equal to 1. Therefore, the ideal gas law can be used to calculate the properties of a gas at a given temperature and pressure, as long as the gas behaves ideally.

5. Are there any limitations to using the value of reduced temperature equal to that of reduced pressure in scientific calculations?

Yes, there are limitations to using the value of reduced temperature equal to that of reduced pressure in scientific calculations. This method is only applicable to gases and liquids that behave ideally, which may not always be the case. Additionally, the critical properties of a substance may not be known for certain substances, making it difficult to calculate the reduced temperature and reduced pressure accurately.

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