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

↳

⤿

Redlich Kwong Model of Real Gas

Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Van der Waals Force

Wohl Model of Real Gas

⤿

Reduced Temperature of Real Gas

Critical Temperature of Real Gas

Redlich Kwong Parameter

✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume [V_m,c]			+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%

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation [V_m]

⎘ Copy

👎

Formula

✖

Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation

Formula

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

Example

`"-396680.935301m³/mol"="11.5m³/mol"*(((1/"3.675E^-5")+(0.26/(3*"10")))/((1/(3*"10"))-(0.26*sqrt("10"))))`

Calculator

LaTeX

Reset

👍

Download Real Gas Formula PDF

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))))
V_m = V_m,c*(((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

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

V_m = V_m,c*(((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r)))) --> 11.5*(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10))))

Evaluating ... ...

V_m = -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 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » Real Gas » Redlich Kwong Model of Real Gas » Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

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

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 V_m 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 (V_m,c), Reduced Pressure (P_r) & Reduced Temperature (T_r) 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 V_m = V_m,c*(((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r)))) 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 (V_m,c), Reduced Pressure (P_r) & Reduced Temperature (T_r). 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))

Home

FREE PDFs

🔍 Search