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

GoMolar Volume of Real Gas using Redlich Kwong Equation Formula

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

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

V m = V m,c \cdot (\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 - Molar Volume?V_m,c - Critical Molar Volume?P_r - Reduced Pressure?T_r - Reduced Temperature?

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

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

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

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

-396680.9353 = 11.5 \cdot (\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})})

-396680.9353m³/mol = 11.5m³/mol \cdot (\frac{(\frac{1}{3.7E-5}) + (\frac{0.26}{3 \cdot 10})}{(\frac{1}{3 \cdot 10}) - (0.26 \cdot \sqrt{10})})

-396680.9353 = 11.5 \cdot (\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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Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation Solution

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

FIRST Step Consider the formula

V m = V m,c \cdot (\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 = 11.5m³/mol \cdot (\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 = 11.5 \cdot (\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 = -396680.935300528m³/mol

LAST Step Rounding Answer

∴

V m = -396680.9353m³/mol

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

Variables

Functions

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

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

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 Molar Volume

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 Actual Molar Volume using Redlich Kwong Equation given 'a' and 'b'

V m = V m,r \cdot (\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 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 Critical Molar Volume of Real Gas using Redlich Kwong Equation given 'a' and 'b'

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

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

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

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

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

The formula of Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation is expressed as Molar Volume = Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature)))). Here is an example- -396680.935301 = 11.5*(((1/3.675E-05)+(0.26/(3*10)))/((1/(3*10))-(0.26*sqrt(10)))).

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

With Critical Molar Volume (V_m,c), Reduced Pressure (P_r) & Reduced Temperature (T_r) we can find Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation using the formula - Molar Volume = Critical 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 Molar Volume?

Here are the different ways to Calculate Molar Volume-

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))

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

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

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

Actual 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 Actual Molar Volume of Real Gas using Reduced Redlich Kwong Equation can be measured.

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