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Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters 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{([R] \cdot \frac{T}{p}) \cdot (1 + ((\frac{9 \cdot P r}{128 \cdot T r}) \cdot (1 - (\frac{6}{({T r}^{2})}))))}{V m,r}

V_m,c - Critical Molar Volume?T - Temperature?p - Pressure?P_r - Reduced Pressure?T_r - Reduced Temperature?V_m,r - Reduced Molar Volume?[R] - Universal gas constant?

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

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

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

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

0.0789 = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

0.0789m³/mol = \frac{(8.3145 \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

0.0789 = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V m,c = \frac{([R] \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

Next Step Substitute values of Constants

∴

V m,c = \frac{(8.3145 \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

Next Step Prepare to Evaluate

∴

V m,c = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot 3.7E-5}{128 \cdot 10}) \cdot (1 - (\frac{6}{(10^{2})}))))}{11.2}

Next Step Evaluate

∴

V m,c = 0.0788760596209501m³/mol

LAST Step Rounding Answer

∴

V m,c = 0.0789m³/mol

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

Variables

Constants

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

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

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

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

Reduced Molar Volume

Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

Symbol: V_m,r

Measurement: NAUnit: Unitless

Note: Value can be positive or negative.

Formulas to find Reduced Molar Volume

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 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 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 Berthelot Parameter of Real Gas

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

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

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

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

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

The formula of Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters is expressed as Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume. Here is an example- 0.078876 = (([R]*85/800)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))))/11.2.

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

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

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

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

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

Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters 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 using Modified Berthelot Equation given Reduced and Actual Parameters can be measured.

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

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

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

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

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

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

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

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