Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation Calculator

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%

✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation [V_m,c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))
V_m,c = V_m/(((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r))))
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

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.
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.
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

Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 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

V_m,c = V_m/(((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r)))) --> 22.4/(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10))))

Evaluating ... ...

V_m,c = -0.000649388405330951

STEP 3: Convert Result to Output's Unit

-0.000649388405330951 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

-0.000649388405330951 ≈ -0.000649 Cubic Meter per Mole <-- Critical Molar Volume

(Calculation completed in 00.004 seconds)

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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)

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

LaTeX Go

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 Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculator uses Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))) to calculate the Critical Molar Volume, The Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume is denoted by V_m,c symbol.

How to calculate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation using this online calculator? To use this online calculator for Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation, enter Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation calculation can be explained with given input values -> -0.000649 = 22.4/(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10)))).

FAQ

What is Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

The Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by gas at critical temperature and pressure per mole and is represented as V_m,c = V_m/(((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r)))) or Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, 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 Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

The Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation formula is defined as the volume occupied by gas at critical temperature and pressure per mole is calculated using Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). To calculate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation, you need Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for 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 Critical Molar Volume?

In this formula, Critical Molar Volume uses Molar Volume, Reduced Pressure & Reduced Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Critical Molar Volume = Redlich–Kwong parameter b/((2^(1/3))-1)

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