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

GoMolar Volume of Real Gas using Berthelot Equation Formula

GoMolar Volume using Modified Berthelot Equation given Critical and Actual Parameters 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 = ([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}}}))))

V_m - Molar Volume?T_r - Reduced Temperature?T_c - Critical Temperature?P_r - Reduced Pressure?P_c - Critical Pressure?[R] - Universal gas constant?

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

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Here is how the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters equation looks like with Values.

Here is how the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters equation looks like with Units.

Here is how the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters equation looks like.

6.7E+6 = (8.3145 \cdot \frac{10 \cdot 647}{3.7E-5 \cdot 218}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218}{218}}{128 \cdot \frac{10 \cdot 647}{647}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647)}^{2}}{647^{2}}}))))

6.7E+6m³/mol = (8.3145 \cdot \frac{10 \cdot 647K}{3.7E-5 \cdot 218Pa}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218Pa}{218Pa}}{128 \cdot \frac{10 \cdot 647K}{647K}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647K)}^{2}}{{647K}^{2}}}))))

6.7E+6 = (8.3145 \cdot \frac{10 \cdot 647}{3.7E-5 \cdot 218}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218}{218}}{128 \cdot \frac{10 \cdot 647}{647}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647)}^{2}}{647^{2}}}))))

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

Follow our step by step solution on how to calculate Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters?

FIRST Step Consider the formula

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}}}))))

Next Step Substitute values of Variables

∴

V m = ([R] \cdot \frac{10 \cdot 647K}{3.7E-5 \cdot 218Pa}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218Pa}{218Pa}}{128 \cdot \frac{10 \cdot 647K}{647K}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647K)}^{2}}{{647K}^{2}}}))))

Next Step Substitute values of Constants

∴

V m = (8.3145 \cdot \frac{10 \cdot 647K}{3.7E-5 \cdot 218Pa}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218Pa}{218Pa}}{128 \cdot \frac{10 \cdot 647K}{647K}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647K)}^{2}}{{647K}^{2}}}))))

Next Step Prepare to Evaluate

∴

V m = (8.3145 \cdot \frac{10 \cdot 647}{3.7E-5 \cdot 218}) \cdot (1 + ((\frac{9 \cdot \frac{3.7E-5 \cdot 218}{218}}{128 \cdot \frac{10 \cdot 647}{647}}) \cdot (1 - (\frac{6}{\frac{{(10 \cdot 647)}^{2}}{647^{2}}}))))

Next Step Evaluate

∴

V m = 6714670.93626151m³/mol

LAST Step Rounding Answer

∴

V m = 6.7E+6m³/mol

Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters 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

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

Critical Temperature

Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

Symbol: T_c

Measurement: TemperatureUnit: K

Note: Value should be greater than 0.

Formulas to find Critical Temperature

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

Critical Pressure

Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

Symbol: P_c

Measurement: PressureUnit: Pa

Note: Value should be greater than 0.

Formulas to find Critical Pressure

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 of Real Gas using Berthelot Equation

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

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})}

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 using Modified Berthelot Equation given Critical and Reduced Parameters?

Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters evaluator uses Molar Volume = ([R]*(Reduced Temperature*Critical Temperature)/(Reduced Pressure*Critical Pressure))*(1+(((9*(Reduced Pressure*Critical Pressure)/Critical Pressure)/(128*(Reduced Temperature*Critical Temperature)/Critical Temperature))*(1-(6/(((Reduced Temperature*Critical Temperature)^2)/(Critical Temperature^2)))))) to evaluate the Molar Volume, The Molar Volume using Modified Berthelot equation given critical and reduced parameters 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 Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters using this online evaluator? To use this online evaluator for Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters, enter Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r) & Critical Pressure (P_c) and hit the calculate button.

FAQs on Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters

What is the formula to find Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters?

The formula of Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters is expressed as Molar Volume = ([R]*(Reduced Temperature*Critical Temperature)/(Reduced Pressure*Critical Pressure))*(1+(((9*(Reduced Pressure*Critical Pressure)/Critical Pressure)/(128*(Reduced Temperature*Critical Temperature)/Critical Temperature))*(1-(6/(((Reduced Temperature*Critical Temperature)^2)/(Critical Temperature^2)))))). Here is an example- 6.7E+6 = ([R]*(10*647)/(3.675E-05*218))*(1+(((9*(3.675E-05*218)/218)/(128*(10*647)/647))*(1-(6/(((10*647)^2)/(647^2)))))).

How to calculate Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters?

With Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r) & Critical Pressure (P_c) we can find Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters using the formula - Molar Volume = ([R]*(Reduced Temperature*Critical Temperature)/(Reduced Pressure*Critical Pressure))*(1+(((9*(Reduced Pressure*Critical Pressure)/Critical Pressure)/(128*(Reduced Temperature*Critical Temperature)/Critical Temperature))*(1-(6/(((Reduced Temperature*Critical Temperature)^2)/(Critical Temperature^2)))))). This formula also uses Universal gas constant .

What are the other ways to Calculate Molar Volume?

Here are the different ways to Calculate Molar Volume-

Molar Volume=((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a))
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))))))

Can the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters be negative?

Yes, the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters, measured in Molar Magnetic Susceptibility can be negative.

Which unit is used to measure Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters?

Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters is usually measured using the Cubic Meter per Mole[m³/mol] for Molar Magnetic Susceptibility. are the few other units in which Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters can be measured.

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

​GoMolar Volume of Real Gas using Berthelot Equation Formula

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

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

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

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

FAQs on Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters

Variable Name

GoMolar Volume of Real Gas using Berthelot Equation Formula

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