FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Molar Volume of Real Gas using Berthelot Equation Formula

GoMolar Volume using Modified Berthelot Equation given Critical and Actual Parameters Formula

GoMolar Volume using Modified Berthelot Equation given Reduced and Actual Parameters Formula

Fx Copy

LaTeX Copy

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{T}{a})}

V_m - Molar Volume?p - Pressure?b - Berthelot Parameter b?T - Temperature?a - Berthelot Parameter a?[R] - Universal gas constant?[R] - Universal gas constant?

Molar Volume of Real Gas using Berthelot Equation Example

With values

With units

Only example

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

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

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

-1.8E-6 = \frac{(\frac{1}{800}) + (\frac{0.2}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{85}{0.1})}

-1.8E-6m³/mol = \frac{(\frac{1}{800Pa}) + (\frac{0.2}{8.3145 \cdot 85K})}{(\frac{1}{8.3145 \cdot 85K}) - (\frac{85K}{0.1})}

-1.8E-6 = \frac{(\frac{1}{800}) + (\frac{0.2}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{85}{0.1})}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Chemistry » Category

Kinetic Theory of Gases » Category

Real Gas » fx Molar Volume of Real Gas using Berthelot Equation

Molar Volume of Real Gas using Berthelot Equation Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V m = \frac{(\frac{1}{800Pa}) + (\frac{0.2}{[R] \cdot 85K})}{(\frac{1}{[R] \cdot 85K}) - (\frac{85K}{0.1})}

Next Step Substitute values of Constants

∴

V m = \frac{(\frac{1}{800Pa}) + (\frac{0.2}{8.3145 \cdot 85K})}{(\frac{1}{8.3145 \cdot 85K}) - (\frac{85K}{0.1})}

Next Step Prepare to Evaluate

∴

V m = \frac{(\frac{1}{800}) + (\frac{0.2}{8.3145 \cdot 85})}{(\frac{1}{8.3145 \cdot 85}) - (\frac{85}{0.1})}

Next Step Evaluate

∴

V m = -1.80352509235648E-06m³/mol

LAST Step Rounding Answer

∴

V m = -1.8E-6m³/mol

Molar Volume of Real Gas using Berthelot Equation Formula Elements

Variables

Constants

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

Berthelot Parameter b

Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

Symbol: b

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Berthelot 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

Berthelot Parameter a

Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

Symbol: a

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Berthelot 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

Other Formulas to find Molar Volume

Go Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters

V m = ([R] \cdot \frac{T}{p}) \cdot (1 + ((\frac{9 \cdot \frac{p}{P c}}{128 \cdot \frac{T}{T c}}) \cdot (1 - (\frac{6}{\frac{T^{2}}{{T c}^{2}}}))))

Go Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters

V m = ([R] \cdot \frac{T}{p}) \cdot (1 + ((\frac{9 \cdot P r}{128 \cdot T r}) \cdot (1 - (\frac{6}{({T r}^{2})}))))

Go Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters

V m = \frac{(\frac{1}{P r \cdot P c}) + (\frac{b}{[R] \cdot (T r \cdot T c)})}{(\frac{1}{[R] \cdot (T r \cdot T c)}) - (\frac{T r \cdot T c}{a})}

Go Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters

V m = ([R] \cdot \frac{T r \cdot T c}{P r \cdot P c}) \cdot (1 + ((\frac{9 \cdot \frac{P r \cdot P c}{P c}}{128 \cdot \frac{T r \cdot T c}{T c}}) \cdot (1 - (\frac{6}{\frac{{(T r \cdot T c)}^{2}}{{T c}^{2}}}))))

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

Go Pressure of Real Gas using Berthelot Equation

p = (\frac{[R] \cdot T}{V m - b}) - (\frac{a}{T \cdot ({V m}^{2})})

Go Temperature of Real Gas using Berthelot Equation

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

Go Berthelot Parameter of Real Gas

a = ((\frac{[R] \cdot T}{V m - b}) - p) \cdot (T \cdot ({V m}^{2}))

Go Berthelot parameter b of Real Gas

b = V m - (\frac{[R] \cdot T}{p + (\frac{a}{T \cdot ({V m}^{2})})})

How to Evaluate Molar Volume of Real Gas using Berthelot Equation?

Molar Volume of Real Gas using Berthelot Equation evaluator uses Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a)) to evaluate the Molar Volume, The Molar Volume of Real Gas using Berthelot equation formula is defined as 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 Molar Volume of Real Gas using Berthelot Equation using this online evaluator? To use this online evaluator for Molar Volume of Real Gas using Berthelot Equation, enter Pressure (p), Berthelot Parameter b (b), Temperature (T) & Berthelot Parameter a (a) and hit the calculate button.

FAQs on Molar Volume of Real Gas using Berthelot Equation

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

The formula of Molar Volume of Real Gas using Berthelot Equation is expressed as Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a)). Here is an example- -1.8E-6 = ((1/800)+(0.2/([R]*85)))/((1/([R]*85))-(85/0.1)).

How to calculate Molar Volume of Real Gas using Berthelot Equation?

With Pressure (p), Berthelot Parameter b (b), Temperature (T) & Berthelot Parameter a (a) we can find Molar Volume of Real Gas using Berthelot Equation using the formula - Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a)). This formula also uses Universal gas constant, Universal gas constant .

What are the other ways to Calculate Molar Volume?

Here are the different ways to Calculate Molar Volume-

Molar Volume=([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2))))))
Molar Volume=([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
Molar Volume=((1/(Reduced Pressure*Critical Pressure))+(Berthelot Parameter b/([R]*(Reduced Temperature*Critical Temperature))))/((1/([R]*(Reduced Temperature*Critical Temperature)))-((Reduced Temperature*Critical Temperature)/Berthelot Parameter a))

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

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

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

Molar Volume of Real Gas using Berthelot 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 Berthelot Equation can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Molar Volume of Real Gas using Berthelot Equation Formula

​GoMolar Volume using Modified Berthelot Equation given Critical and Actual Parameters Formula

​GoMolar Volume using Modified Berthelot Equation given Reduced and Actual Parameters Formula

Molar Volume of Real Gas using Berthelot Equation Example

Molar Volume of Real Gas using Berthelot Equation Solution

Molar Volume of Real Gas using Berthelot Equation Formula Elements

Other Formulas to find Molar Volume

Other formulas in Berthelot and Modified Berthelot Model of Real Gas category

How to Evaluate Molar Volume of Real Gas using Berthelot Equation?

FAQs on Molar Volume of Real Gas using Berthelot Equation

Variable Name

GoMolar Volume using Modified Berthelot Equation given Critical and Actual Parameters Formula

GoMolar Volume using Modified Berthelot Equation given Reduced and Actual Parameters Formula