Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Vm = Vm,c*(((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr))))
This formula uses 1 Functions, 4 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
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Critical Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
STEP 1: Convert Input(s) to Base Unit
Critical Molar Volume: 11.5 Cubic Meter per Mole --> 11.5 Cubic Meter per Mole No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm = Vm,c*(((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr)))) --> 11.5*(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10))))
Evaluating ... ...
Vm = -396680.935300528
STEP 3: Convert Result to Output's Unit
-396680.935300528 Cubic Meter per Mole --> No Conversion Required
FINAL ANSWER
-396680.935300528 -396680.935301 Cubic Meter per Mole <-- Molar Volume
(Calculation completed in 00.020 seconds)

Credits

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Created by Prerana Bakli
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)

Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation Formula

​LaTeX ​Go
Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
Vm = Vm,c*(((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr))))

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 Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculator uses Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))) to calculate the Molar Volume, The Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure. Molar Volume is denoted by Vm symbol.

How to calculate Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation, enter Critical Molar Volume (Vm,c), Reduced Pressure (Pr) & Reduced Temperature (Tr) and hit the calculate button. Here is how the Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> -396680.935301 = 11.5*(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10)))).

FAQ

What is Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation?
The Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure and is represented as Vm = Vm,c*(((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr)))) or Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
How to calculate Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation?
The Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure is calculated using Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). To calculate Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation, you need Critical Molar Volume (Vm,c), Reduced Pressure (Pr) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for Critical Molar Volume, Reduced Pressure & Reduced 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 Molar Volume?
In this formula, Molar Volume uses Critical Molar Volume, Reduced Pressure & Reduced Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a))
  • Molar Volume = Reduced Molar Volume*(Redlich–Kwong parameter b/((2^(1/3))-1))
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