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Actual Pressure of Real Gas using Reduced Redlich Kwong Equation Calculator

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✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [Pc]
+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 is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]
+10%
-10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Actual Pressure of Real Gas using Reduced Redlich Kwong Equation [p]
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Actual Pressure of Real Gas using Reduced Redlich Kwong Equation

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

Example
`"597.0977Pa"="218Pa"*(((3*"10")/("11.2"-0.26))-(1/(0.26*sqrt("85K")*"11.2"*("11.2"+0.26))))`

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Actual Pressure of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
p = Pc*(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(T)*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
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 Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
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 - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
STEP 1: Convert Input(s) to Base Unit
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Reduced Molar Volume: 11.2 --> No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = Pc*(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(T)*Vm,r*(Vm,r+0.26)))) --> 218*(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85)*11.2*(11.2+0.26))))
Evaluating ... ...
p = 597.097664840943
STEP 3: Convert Result to Output's Unit
597.097664840943 Pascal --> No Conversion Required
FINAL ANSWER
597.097664840943 ≈ 597.0977 Pascal <-- Pressure
(Calculation completed in 00.004 seconds)
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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)

Actual Pressure of Real Gas using Reduced Redlich Kwong Equation Formula

Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26))))
p = Pc*(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(T)*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 Actual Pressure of Real Gas using Reduced Redlich Kwong Equation?

Actual Pressure of Real Gas using Reduced Redlich Kwong Equation calculator uses Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))) to calculate the Pressure, The Actual Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the physical force exerted on the walls of the container by a real gas. Pressure is denoted by p symbol.

How to calculate Actual Pressure of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Actual Pressure of Real Gas using Reduced Redlich Kwong Equation, enter Critical Pressure (Pc), Reduced Temperature (Tr), Reduced Molar Volume (Vm,r) & Temperature (T) and hit the calculate button. Here is how the Actual Pressure of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> 597.0977 = 218*(((3*10)/(11.2-0.26))-(1/(0.26*sqrt(85)*11.2*(11.2+0.26)))).

FAQ

What is Actual Pressure of Real Gas using Reduced Redlich Kwong Equation?
The Actual Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the physical force exerted on the walls of the container by a real gas and is represented as p = Pc*(((3*Tr)/(Vm,r-0.26))-(1/(0.26*sqrt(T)*Vm,r*(Vm,r+0.26)))) or Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))). Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature, 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 is the degree or intensity of heat present in a substance or object.
How to calculate Actual Pressure of Real Gas using Reduced Redlich Kwong Equation?
The Actual Pressure of Real Gas using Reduced Redlich Kwong Equation formula is defined as the physical force exerted on the walls of the container by a real gas is calculated using Pressure = Critical Pressure*(((3*Reduced Temperature)/(Reduced Molar Volume-0.26))-(1/(0.26*sqrt(Temperature)*Reduced Molar Volume*(Reduced Molar Volume+0.26)))). To calculate Actual Pressure of Real Gas using Reduced Redlich Kwong Equation, you need Critical Pressure (Pc), Reduced Temperature (Tr), Reduced Molar Volume (Vm,r) & Temperature (T). With our tool, you need to enter the respective value for Critical Pressure, Reduced Temperature, Reduced Molar Volume & Temperature 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 Pressure?
In this formula, Pressure uses Critical Pressure, Reduced Temperature, Reduced Molar Volume & Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Pressure = (([R]*Temperature)/(Molar Volume-Redlich–Kwong parameter b))-(Redlich–Kwong Parameter a)/(sqrt(Temperature)*Molar Volume*(Molar Volume+Redlich–Kwong parameter b))
  • 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
  • Pressure = Reduced Pressure*((0.08664*[R]*Critical Temperature)/Redlich–Kwong parameter b)
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