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Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' Calculator

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✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [Vm]
+10%
-10%
✖Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.ⓘ Redlich–Kwong parameter b [b]
+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 using Redlich Kwong Equation given 'a' and 'b' [Vm,r]
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Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b'

Formula
`"V"_{"m,r"} = "V"_{"m"}/("b"/((2^(1/3))-1))`

Example
`"58.22232"="22.4m³/mol"/("0.1"/((2^(1/3))-1))`

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Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1))
Vm,r = Vm/(b/((2^(1/3))-1))
This formula uses 3 Variables
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.
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.
Redlich–Kwong parameter b - Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
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
Redlich–Kwong parameter b: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vm,r = Vm/(b/((2^(1/3))-1)) --> 22.4/(0.1/((2^(1/3))-1))
Evaluating ... ...
Vm,r = 58.2223151764516
STEP 3: Convert Result to Output's Unit
58.2223151764516 --> No Conversion Required
FINAL ANSWER
58.2223151764516 ≈ 58.22232 <-- Reduced Molar Volume
(Calculation completed in 00.004 seconds)
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Created by Prerana Bakli
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)

Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' Formula

Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1))
Vm,r = Vm/(b/((2^(1/3))-1))

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 using Redlich Kwong Equation given 'a' and 'b'?

Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' calculator uses Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1)) to calculate the Reduced Molar Volume, The Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' 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 using Redlich Kwong Equation given 'a' and 'b' using this online calculator? To use this online calculator for Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b', enter Molar Volume (Vm) & Redlich–Kwong parameter b (b) and hit the calculate button. Here is how the Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' calculation can be explained with given input values -> 58.22232 = 22.4/(0.1/((2^(1/3))-1)).

FAQ

What is Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b'?
The Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' 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 = Vm/(b/((2^(1/3))-1)) or Reduced Molar Volume = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1)). Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure & Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.
How to calculate Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b'?
The Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b' 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 = Molar Volume/(Redlich–Kwong parameter b/((2^(1/3))-1)). To calculate Reduced Molar Volume using Redlich Kwong Equation given 'a' and 'b', you need Molar Volume (Vm) & Redlich–Kwong parameter b (b). With our tool, you need to enter the respective value for Molar Volume & Redlich–Kwong parameter b 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 Molar Volume & Redlich–Kwong parameter b. We can use 1 other way(s) to calculate the same, which is/are as follows -
  • Reduced Molar Volume = ((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))
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