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

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))
Vm,r = ((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr)))
This formula uses 1 Functions, 3 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
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.
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
Reduced Pressure: 3.675E-05 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm,r = ((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr))) --> ((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10)))
Evaluating ... ...
Vm,r = -34493.9943739589
STEP 3: Convert Result to Output's Unit
-34493.9943739589 --> No Conversion Required
FINAL ANSWER
-34493.9943739589 -34493.994374 <-- Reduced Molar Volume
(Calculation completed in 00.004 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)

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

​LaTeX ​Go
Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))
Vm,r = ((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 Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculator uses Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))) to calculate the Reduced Molar Volume, The Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole. Reduced Molar Volume is denoted by Vm,r symbol.

How to calculate Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation, enter Reduced Pressure (Pr) & Reduced Temperature (Tr) and hit the calculate button. Here is how the Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> -34493.994374 = ((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10))).

FAQ

What is Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation?
The Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole and is represented as Vm,r = ((1/Pr)+(0.26/(3*Tr)))/((1/(3*Tr))-(0.26*sqrt(Tr))) or Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))). 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 Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation?
The Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole is calculated using Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))). To calculate Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation, you need Reduced Pressure (Pr) & Reduced Temperature (Tr). With our tool, you need to enter the respective value for 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 Reduced Molar Volume?
In this formula, Reduced Molar Volume uses Reduced Pressure & Reduced Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1))
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