Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Pressure = Pressure for rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3))))
Pr = P rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(a^(2/3)))/((3^(1/3))*(b^(5/3))))
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Pressure for rg - Pressure for rg is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Redlich–Kwong Parameter a - Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
STEP 1: Convert Input(s) to Base Unit
Pressure for rg: 0.1 --> No Conversion Required
Redlich–Kwong Parameter a: 0.15 --> No Conversion Required
Redlich–Kwong parameter b: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = P rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(a^(2/3)))/((3^(1/3))*(b^(5/3)))) --> 0.1/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(0.15^(2/3)))/((3^(1/3))*(0.1^(5/3))))
Evaluating ... ...
Pr = 0.126009937017765
STEP 3: Convert Result to Output's Unit
0.126009937017765 --> No Conversion Required
FINAL ANSWER
0.126009937017765 0.12601 <-- Reduced Pressure
(Calculation completed in 00.004 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a))
Pressure of Real Gas using Redlich Kwong Equation
​ LaTeX ​ Go Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Pressure = (((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))
Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'
​ LaTeX ​ Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' Formula

​LaTeX ​Go
Reduced Pressure = Pressure for rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3))))
Pr = P rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(a^(2/3)))/((3^(1/3))*(b^(5/3))))

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'?

Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' calculator uses Reduced Pressure = Pressure for rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))) to calculate the Reduced Pressure, The Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' formula is defined as is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by Pr symbol.

How to calculate Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' using this online calculator? To use this online calculator for Reduced Pressure using Redlich Kwong Equation given 'a' and 'b', enter Pressure for rg (P rg), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' calculation can be explained with given input values -> 0.12601 = 0.1/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(0.15^(2/3)))/((3^(1/3))*(0.1^(5/3)))).

FAQ

What is Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'?
The Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' formula is defined as is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as Pr = P rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(a^(2/3)))/((3^(1/3))*(b^(5/3)))) or Reduced Pressure = Pressure for rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))). Pressure for rg is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
How to calculate Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'?
The Reduced Pressure using Redlich Kwong Equation given 'a' and 'b' formula is defined as is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using Reduced Pressure = Pressure for rg/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3)))). To calculate Reduced Pressure using Redlich Kwong Equation given 'a' and 'b', you need Pressure for rg (P rg), Redlich–Kwong Parameter a (a) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Pressure for rg, Redlich–Kwong Parameter a & Redlich–Kwong parameter b and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Reduced Pressure?
In this formula, Reduced Pressure uses Pressure for rg, Redlich–Kwong Parameter a & Redlich–Kwong parameter b. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a)
  • Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
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