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

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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

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Reduced Temperature of Real Gas

Critical Temperature of Real Gas

Redlich Kwong Parameter

✖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%

✖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 of Real Gas using Reduced Redlich Kwong Equation [V_m,r]

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Formula

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Reduced Molar Volume of Real Gas using Reduced Redlich Kwong Equation

Formula

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

Example

`"-34493.994374"=((1/"3.675E^-5")+(0.26/(3*"10")))/((1/(3*"10"))-(0.26*sqrt("10")))`

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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)))
V_m,r = ((1/P_r)+(0.26/(3*T_r)))/((1/(3*T_r))-(0.26*sqrt(T_r)))
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

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

Evaluating ... ...

V_m,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)

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

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