Beattie-Bridgeman Equation of State: The Beattie-Bridgeman equation of state was proposed in It has five experimentally determined constants. A some what more complex equation is the Beattie-Bridgeman equation. P = R T d + (B R T – A – R c / T2) d2 + (- B b R T + A a – R B c / T2) d3 + R B b c d4 / T2. Orig. Receipt Date: DEC Country of Publication: United States. Language: English. Subject: PHYSICS; BEATTIE-BRIDGEMAN EQUATION; ENTROPY;.
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Any equation that relates the pressure, temperature, and specific volume of a substance is called the equation of state.
The following equation is the ideal-gas equation of state. A gas that obeys this relation is called an ideal gas. The ideal-gas equation of state is very simple, but its application range is limited.
Thermodynamics eBook: Ideal Gas
The following three equations which are based on assumptions and bewttie can give more accurate result over a larger range. Van der Waals equation of state is the first attempt to model the behavior of a real gas. However, it is only accurate over a limited range. The Beattie-Bridgeman equation of state was proposed in It has five experimentally determined constants.
Benedict, Webb, and Rubin raised the number of experimentally determined constants in the Beattie-Bridgeman Equation of State to eight in The compressibility factor Z is a dimensionless ratio of the product of pressure and specific volume to the product of gas constant and temperature.
The compressibility factor Z is a measure of deviation from the ideal-gas behavior. For ideal gas, Z is equal to 1.
Z can be either greater or less than 1 for real gases. The further away Z is from unity, the more the gas deviates from the ideal-gas behavior.
The bridgemxn compressibility chart is developed to be used for all gases. They are plotted as a function of the reduced pressure and reduced temperature, which are defined as follows:.
Equations of State
The animation on the left shows the error involved in assuming steam to be an ideal gas. Van der Waals Equation of State: Beattie-Bridgeman Equation of State: The properties with a bar on top are molar basis. Benedict-Webb-Rubin Equation of State: Generalized Compressibility Chart Click to view large chart.
They are plotted as brjdgeman function of the reduced pressure and reduced temperature, which are defined as follows: Percentage of error involved in assuming steam to be an ideal gas Click to view Movie 68 kB.
From the generalized compressibility chart, the following observations can be made. In the vicinity of the critical point, the gases deviate from ideal gas greatly.