Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Pr = p/((0.08664*[R]*Tc)/b)
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 - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Critical Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
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: 800 Pascal --> 800 Pascal No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Redlich–Kwong parameter b: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pr = p/((0.08664*[R]*Tc)/b) --> 800/((0.08664*[R]*647)/0.1)
Evaluating ... ...
Pr = 0.171645759093716
STEP 3: Convert Result to Output's Unit
0.171645759093716 --> No Conversion Required
FINAL ANSWER
0.171645759093716 0.171646 <-- Reduced Pressure
(Calculation completed in 00.004 seconds)

Credits

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23 Redlich Kwong Model of Real Gas Calculators

Molar Volume of Real Gas using Redlich Kwong Equation
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
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 Reduced Redlich Kwong Equation
Go Critical Pressure = Pressure/(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Actual Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
Reduced Pressure of Real Gas using Reduced Redlich Kwong Equation
Go Reduced Pressure = ((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Real Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))
Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Actual Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Temperature of Gas = Critical Temperature*(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation
Go Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))
Actual Temperature using Redlich Kwong Equation given 'a' and 'b'
Go Temperature = Reduced Temperature*((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'
Go Reduced Pressure = Pressure of Gas/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3))))
Actual Pressure using Redlich Kwong Equation given 'a' and 'b'
Go 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))))*Reduced Pressure
Actual Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Real Gas Temperature = Reduced Temperature*((Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R]))
Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Actual Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Pressure = Reduced Pressure*((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Actual Temperature of Real Gas using Redlich Kwong Equation given 'a'
Go Temperature = Reduced Temperature*(((Redlich–Kwong Parameter a*Critical Pressure)/(0.42748*([R]^2)))^(2/5))
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'
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)))
Reduced Pressure of Real Gas using Redlich Kwong Equation given 'a'
Go Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a)
Critical Pressure of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Pressure = (0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b
Critical Pressure of Real Gas using Redlich Kwong Equation given 'a'
Go Critical Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b'
Go Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1))
Actual Molar Volume using Redlich Kwong Equation given 'a' and 'b'
Go Molar Volume = Reduced Molar Volume*(Redlich–Kwong parameter b/((2^(1/3))-1))
Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'
Go Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' Formula

Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
Pr = p/((0.08664*[R]*Tc)/b)

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 of Real Gas using Redlich Kwong Equation given 'b'?

Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' calculator uses Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b) to calculate the Reduced Pressure, The Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' formula is defined as 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 of Real Gas using Redlich Kwong Equation given 'b' using this online calculator? To use this online calculator for Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b', enter Pressure (p), Critical Temperature (Tc) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' calculation can be explained with given input values -> 0.171646 = 800/((0.08664*[R]*647)/0.1).

FAQ

What is Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b'?
The Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as Pr = p/((0.08664*[R]*Tc)/b) or Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
How to calculate Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b'?
The Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b' formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using Reduced Pressure = Pressure/((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b). To calculate Reduced Pressure of Real Gas using Redlich Kwong Equation given 'b', you need Pressure (p), Critical Temperature (Tc) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Pressure, Critical Temperature & 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, Critical Temperature & Redlich–Kwong parameter b. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Reduced Pressure = Pressure of Gas/((((2^(1/3))-1)^(7/3)*([R]^(1/3))*(Redlich–Kwong Parameter a^(2/3)))/((3^(1/3))*(Redlich–Kwong parameter b^(5/3))))
  • Reduced Pressure = ((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature of Real Gas)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))
  • Reduced Pressure = Pressure/((0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a)
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