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Critical Pressure of Real Gas using Reduced Redlich Kwong Equation Calculator

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✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]
+10%
-10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [Tr]
+10%
-10%
✖Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume [Vm,r]
+10%
-10%
✖Temperature of Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Gas [Tg]
+10%
-10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure of Real Gas using Reduced Redlich Kwong Equation [Pc]
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Critical Pressure of Real Gas using Reduced Redlich Kwong Equation

Formula
`"P"_{"c"} = "p"/(((3*"T"_{"r"})/("V"_{"m,r"}-0.26))-(1/(0.26*sqrt("T"_{"g"})*"V"_{"m,r"}*("V"_{"m,r"}+0.26))))`

Example
`"292.0785Pa"="800Pa"/(((3*"10")/("11.2"-0.26))-(1/(0.26*sqrt("85.5K")*"11.2"*("11.2"+0.26))))`

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Critical Pressure of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
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))))
Pc = p/(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(Tg)*Vm,r*(Vm,r+0.26))))
This formula uses 1 Functions, 5 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Reduced Molar Volume - Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
Temperature of Gas - (Measured in Kelvin) - Temperature of Gas is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Reduced Molar Volume: 11.2 --> No Conversion Required
Temperature of Gas: 85.5 Kelvin --> 85.5 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pc = p/(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(Tg)*Vm,r*(Vm,r+0.26)))) --> 800/(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85.5)*11.2*(11.2+0.26))))
Evaluating ... ...
Pc = 292.078506176971
STEP 3: Convert Result to Output's Unit
292.078506176971 Pascal --> No Conversion Required
FINAL ANSWER
292.078506176971 ≈ 292.0785 Pascal <-- Critical Pressure
(Calculation completed in 00.006 seconds)
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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Redlich Kwong Model of Real Gas » Critical Pressure of Real Gas using Reduced Redlich Kwong Equation

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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)

20 Important Formulae on Different Models of Real Gas Calculators

Critical Temperature using Peng Robinson Equation given Reduced and Actual Parameters
Go Real Gas Temperature = ((Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R]))/Reduced Temperature
Temperature of Real Gas using Peng Robinson Equation
Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])
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))))
Critical Temperature of Real Gas using Reduced Redlich Kwong Equation
Go Critical Temperature given RKE = Temperature of Gas/(((Reduced Pressure+(1/(0.26*Reduced Molar Volume*(Reduced Molar Volume+0.26))))*((Reduced Molar Volume-0.26)/3))^(2/3))
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 Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)
Reduced Temperature using Redlich Kwong Equation given of 'a' and 'b'
Go Temperature given PRP = Temperature of Gas/((3^(2/3))*(((2^(1/3))-1)^(4/3))*((Redlich–Kwong Parameter a/(Redlich–Kwong parameter b*[R]))^(2/3)))
Critical Pressure given Peng Robinson Parameter b and other Actual and Reduced Parameters
Go Critical Pressure given PRP = 0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b
Hamaker Coefficient
Go Hamaker Coefficient A = (pi^2)*Coefficient of Particle–Particle Pair Interaction*Number Density of particle 1*Number Density of particle 2
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
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 Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters
Go Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Radius of Spherical Body 1 given Center-to-Center Distance
Go Radius of Spherical Body 1 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 2
Radius of Spherical Body 2 given Center-to-Center Distance
Go Radius of Spherical Body 2 = Center-to-center Distance-Distance Between Surfaces-Radius of Spherical Body 1
Distance between Surfaces given Center-to-Center Distance
Go Distance Between Surfaces = Center-to-center Distance-Radius of Spherical Body 1-Radius of Spherical Body 2
Center-to-Center Distance
Go Center-to-center Distance = Radius of Spherical Body 1+Radius of Spherical Body 2+Distance Between Surfaces
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Critical Temperature of Real Gas using Redlich Kwong Equation given 'b'
Go Critical Temperature given RKE and b = (Redlich–Kwong parameter b*Critical Pressure)/(0.08664*[R])
Redlich Kwong Parameter b at Critical Point
Go Parameter b = (0.08664*[R]*Critical Temperature)/Critical Pressure
Peng Robinson Parameter b of Real Gas given Critical Parameters
Go Parameter b = 0.07780*[R]*Critical Temperature/Critical Pressure

Critical Pressure of Real Gas using Reduced Redlich Kwong Equation Formula

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))))
Pc = p/(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(Tg)*Vm,r*(Vm,r+0.26))))

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 Critical Pressure of Real Gas using Reduced Redlich Kwong Equation?

Critical Pressure of Real Gas using Reduced Redlich Kwong Equation calculator uses 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)))) to calculate the Critical Pressure, The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure is denoted by Pc symbol.

How to calculate Critical Pressure of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Critical Pressure of Real Gas using Reduced Redlich Kwong Equation, enter Pressure (p), Reduced Temperature (Tr), Reduced Molar Volume (Vm,r) & Temperature of Gas (Tg) and hit the calculate button. Here is how the Critical Pressure of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 292.0795 = 800/(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85.5)*11.2*(11.2+0.26)))).

FAQ

What is Critical Pressure of Real Gas using Reduced Redlich Kwong Equation?
The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as Pc = p/(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(Tg)*Vm,r*(Vm,r+0.26)))) or 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)))). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole & Temperature of Gas is the degree or intensity of heat present in a substance or object.
How to calculate Critical Pressure of Real Gas using Reduced Redlich Kwong Equation?
The Critical Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using 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)))). To calculate Critical Pressure of Real Gas using Reduced Redlich Kwong Equation, you need Pressure (p), Reduced Temperature (Tr), Reduced Molar Volume (Vm,r) & Temperature of Gas (Tg). With our tool, you need to enter the respective value for Pressure, Reduced Temperature, Reduced Molar Volume & Temperature of Gas 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 Critical Pressure?
In this formula, Critical Pressure uses Pressure, Reduced Temperature, Reduced Molar Volume & Temperature of Gas. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • 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 Pressure = (0.42748*([R]^2)*(Critical Temperature^(5/2)))/Redlich–Kwong Parameter a
  • Critical Pressure = (0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b
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