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Molar Volume of Real Gas using Redlich Kwong Equation Formula

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

GoActual Molar Volume of Real Gas using Reduced Redlich Kwong Equation 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 = \frac{(\frac{1}{p}) + (\frac{b}{[R] \cdot T})}{(\frac{1}{[R] \cdot T}) - (\frac{\sqrt{T} \cdot b}{a})}

V_m - Molar Volume?p - Pressure?b - Redlich–Kwong parameter b?T - Temperature?a - Redlich–Kwong Parameter a?[R] - Universal gas constant?[R] - Universal gas constant?

Molar Volume of Real Gas using Redlich Kwong Equation Example

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

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

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

-0.0002 = \frac{(\frac{1}{800}) + (\frac{0.1}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{\sqrt{85} \cdot 0.1}{0.15})}

-0.0002m³/mol = \frac{(\frac{1}{800Pa}) + (\frac{0.1}{8.3145 \cdot 85K})}{(\frac{1}{8.3145 \cdot 85K}) - (\frac{\sqrt{85K} \cdot 0.1}{0.15})}

-0.0002 = \frac{(\frac{1}{800}) + (\frac{0.1}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{\sqrt{85} \cdot 0.1}{0.15})}

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Molar Volume of Real Gas using Redlich Kwong Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V m = \frac{(\frac{1}{800Pa}) + (\frac{0.1}{[R] \cdot 85K})}{(\frac{1}{[R] \cdot 85K}) - (\frac{\sqrt{85K} \cdot 0.1}{0.15})}

Next Step Substitute values of Constants

∴

V m = \frac{(\frac{1}{800Pa}) + (\frac{0.1}{8.3145 \cdot 85K})}{(\frac{1}{8.3145 \cdot 85K}) - (\frac{\sqrt{85K} \cdot 0.1}{0.15})}

Next Step Prepare to Evaluate

∴

V m = \frac{(\frac{1}{800}) + (\frac{0.1}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{\sqrt{85} \cdot 0.1}{0.15})}

Next Step Evaluate

∴

V m = -0.000226445673370457m³/mol

LAST Step Rounding Answer

∴

V m = -0.0002m³/mol

Molar Volume of Real Gas using Redlich Kwong Equation Formula Elements

Variables

Constants

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

Pressure

Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.

Symbol: p

Measurement: PressureUnit: Pa

Note: Value can be positive or negative.

Formulas to find Pressure

Redlich–Kwong parameter b

Redlich–Kwong parameter b is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Redlich–Kwong parameter b

Temperature

Temperature is the degree or intensity of heat present in a substance or object.

Symbol: T

Measurement: TemperatureUnit: K

Note: Value can be positive or negative.

Formulas to find Temperature

Redlich–Kwong Parameter a

Redlich–Kwong parameter a is an empirical parameter characteristic to equation obtained from Redlich–Kwong model of real gas.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Redlich–Kwong Parameter a

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

Universal gas constant

Universal gas constant is a fundamental physical constant that appears in the ideal gas law, relating the pressure, volume, and temperature of an ideal gas.

Symbol: [R]

Value: 8.31446261815324

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

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

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

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})})

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 Molar Volume of Real Gas using Redlich Kwong Equation?

Molar Volume of Real Gas using Redlich Kwong Equation evaluator uses Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a)) to evaluate the Molar Volume, The Molar Volume of Real Gas using Redlich Kwong Equation formula is defined as is the volume of one mole of a gas at STP. Molar Volume is denoted by V_m symbol.

How to evaluate Molar Volume of Real Gas using Redlich Kwong Equation using this online evaluator? To use this online evaluator for Molar Volume of Real Gas using Redlich Kwong Equation, enter Pressure (p), Redlich–Kwong parameter b (b), Temperature (T) & Redlich–Kwong Parameter a (a) and hit the calculate button.

FAQs on Molar Volume of Real Gas using Redlich Kwong Equation

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

The formula of Molar Volume of Real Gas using Redlich Kwong Equation is expressed as Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a)). Here is an example- -0.000226 = ((1/800)+(0.1/([R]*85)))/((1/([R]*85))-((sqrt(85)*0.1)/0.15)).

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

With Pressure (p), Redlich–Kwong parameter b (b), Temperature (T) & Redlich–Kwong Parameter a (a) we can find Molar Volume of Real Gas using Redlich Kwong Equation using the formula - Molar Volume = ((1/Pressure)+(Redlich–Kwong parameter b/([R]*Temperature)))/((1/([R]*Temperature))-((sqrt(Temperature)*Redlich–Kwong parameter b)/Redlich–Kwong Parameter a)). This formula also uses Universal gas constant, Universal gas constant and 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=Reduced Molar Volume*(Redlich–Kwong parameter b/((2^(1/3))-1))
Molar Volume=Critical Molar Volume*(((1/Reduced Pressure)+(0.26/(3*Reduced Temperature)))/((1/(3*Reduced Temperature))-(0.26*sqrt(Reduced Temperature))))

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

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

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

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

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Molar Volume of Real Gas using Redlich Kwong Equation Formula

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

​GoActual Molar Volume of Real Gas using Reduced Redlich Kwong Equation Formula

Molar Volume of Real Gas using Redlich Kwong Equation Example

Molar Volume of Real Gas using Redlich Kwong Equation Solution

Molar Volume of Real Gas using Redlich Kwong Equation Formula Elements

Other Formulas to find Molar Volume

Other formulas in Redlich Kwong Model of Real Gas category

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

FAQs on Molar Volume of Real Gas using Redlich Kwong Equation

Variable Name

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

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