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

GoCritical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b' Formula

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Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole. Check FAQs

V m,c = \frac{V m}{\frac{(\frac{1}{P r}) + (\frac{0.26}{3 \cdot T r})}{(\frac{1}{3 \cdot T r}) - (0.26 \cdot \sqrt{T r})}}

V_m,c - Critical Molar Volume?V_m - Molar Volume?P_r - Reduced Pressure?T_r - Reduced Temperature?

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

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Here is how the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation equation looks like with Values.

Here is how the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation equation looks like with Units.

Here is how the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation equation looks like.

-0.0006 = \frac{22.4}{\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})}}

-0.0006m³/mol = \frac{22.4m³/mol}{\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})}}

-0.0006 = \frac{22.4}{\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})}}

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

Follow our step by step solution on how to calculate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

FIRST Step Consider the formula

V m,c = \frac{V m}{\frac{(\frac{1}{P r}) + (\frac{0.26}{3 \cdot T r})}{(\frac{1}{3 \cdot T r}) - (0.26 \cdot \sqrt{T r})}}

Next Step Substitute values of Variables

∴

V m,c = \frac{22.4m³/mol}{\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})}}

Next Step Prepare to Evaluate

∴

V m,c = \frac{22.4}{\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})}}

Next Step Evaluate

∴

V m,c = -0.000649388405330951m³/mol

LAST Step Rounding Answer

∴

V m,c = -0.0006m³/mol

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

Variables

Functions

Critical Molar Volume

Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.

Symbol: V_m,c

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Critical Molar Volume

Molar Volume

Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.

Symbol: V_m

Measurement: Molar Magnetic SusceptibilityUnit: m³/mol

Note: Value can be positive or negative.

Formulas to find Molar Volume

Reduced Pressure

Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

Symbol: P_r

Measurement: NAUnit: Unitless

Note: Value should be between 0 to 1.

Formulas to find Reduced Pressure

Reduced Temperature

Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

Symbol: T_r

Measurement: NAUnit: Unitless

Note: Value should be greater than 0.

Formulas to find Reduced Temperature

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.

Syntax: sqrt(Number)

Other Formulas to find Critical Molar Volume

Go Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'

V m,c = \frac{b}{(2^{\frac{1}{3}}) - 1}

Other formulas in Redlich Kwong Model of Real Gas category

Go Pressure of Real Gas using Redlich Kwong Equation

p = (\frac{[R] \cdot T}{V m - b}) - \frac{a}{\sqrt{T} \cdot V m \cdot (V m + b)}

Go Molar Volume of Real Gas using Redlich Kwong Equation

V m = \frac{(\frac{1}{p}) + (\frac{b}{[R] \cdot T})}{(\frac{1}{[R] \cdot T}) - (\frac{\sqrt{T} \cdot b}{a})}

Go Critical Pressure of Real Gas using Redlich Kwong Equation given 'a' and 'b'

P c = \frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot (a^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot (b^{\frac{5}{3}})}

Go Reduced Pressure using Redlich Kwong Equation given 'a' and 'b'

P r = \frac{P rg}{\frac{{((2^{\frac{1}{3}}) - 1)}^{\frac{7}{3}} \cdot ({[R]}^{\frac{1}{3}}) \cdot (a^{\frac{2}{3}})}{(3^{\frac{1}{3}}) \cdot (b^{\frac{5}{3}})}}

How to Evaluate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation evaluator uses Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))) to evaluate 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 evaluate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation using this online evaluator? To use this online evaluator 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.

FAQs on Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation

What is the formula to find Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

The formula of Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation is expressed as Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). Here is an example- -0.000649 = 22.4/(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10)))).

How to calculate Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

With Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) we can find Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation using the formula - Critical Molar Volume = Molar Volume/(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Critical Molar Volume?

Here are the different ways to Calculate Critical Molar Volume-

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

Can the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation be negative?

Yes, the Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation, measured in Molar Magnetic Susceptibility can be negative.

Which unit is used to measure Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation?

Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation is usually measured using the Cubic Meter per Mole[m³/mol] for Molar Magnetic Susceptibility. are the few other units in which Critical Molar Volume of Real Gas using Reduced Redlich Kwong Equation can be measured.

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