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

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

V m,r = \frac{([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}}}))))}{V m,c}

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

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

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

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

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

-52.2215 = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot \frac{800}{218}}{128 \cdot \frac{85}{647}}) \cdot (1 - (\frac{6}{\frac{85^{2}}{647^{2}}}))))}{11.5}

-52.2215 = \frac{(8.3145 \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot \frac{800Pa}{218Pa}}{128 \cdot \frac{85K}{647K}}) \cdot (1 - (\frac{6}{\frac{{85K}^{2}}{{647K}^{2}}}))))}{11.5m³/mol}

-52.2215 = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot \frac{800}{218}}{128 \cdot \frac{85}{647}}) \cdot (1 - (\frac{6}{\frac{85^{2}}{647^{2}}}))))}{11.5}

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

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

FIRST Step Consider the formula

V m,r = \frac{([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}}}))))}{V m,c}

Next Step Substitute values of Variables

∴

V m,r = \frac{([R] \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot \frac{800Pa}{218Pa}}{128 \cdot \frac{85K}{647K}}) \cdot (1 - (\frac{6}{\frac{{85K}^{2}}{{647K}^{2}}}))))}{11.5m³/mol}

Next Step Substitute values of Constants

∴

V m,r = \frac{(8.3145 \cdot \frac{85K}{800Pa}) \cdot (1 + ((\frac{9 \cdot \frac{800Pa}{218Pa}}{128 \cdot \frac{85K}{647K}}) \cdot (1 - (\frac{6}{\frac{{85K}^{2}}{{647K}^{2}}}))))}{11.5m³/mol}

Next Step Prepare to Evaluate

∴

V m,r = \frac{(8.3145 \cdot \frac{85}{800}) \cdot (1 + ((\frac{9 \cdot \frac{800}{218}}{128 \cdot \frac{85}{647}}) \cdot (1 - (\frac{6}{\frac{85^{2}}{647^{2}}}))))}{11.5}

Next Step Evaluate

∴

V m,r = -52.221478246999

LAST Step Rounding Answer

∴

V m,r = -52.2215

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

Variables

Constants

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

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

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

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

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

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

Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters evaluator uses Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume to evaluate the Reduced Molar Volume, The Reduced Molar Volume using Modified Berthelot equation given critical and actual parameters formula of a fluid is computed from the ideal gas law as the ratio of its actual volume to critical volume per mole. Reduced Molar Volume is denoted by V_m,r symbol.

How to evaluate Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters using this online evaluator? To use this online evaluator for Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters, enter Temperature (T), Pressure (p), Critical Pressure (P_c), Critical Temperature (T_c) & Critical Molar Volume (V_m,c) and hit the calculate button.

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

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

The formula of Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters is expressed as Reduced Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))))/Critical Molar Volume. Here is an example- -52.221478 = (([R]*85/800)*(1+(((9*800/218)/(128*85/647))*(1-(6/((85^2)/(647^2)))))))/11.5.

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

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

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

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

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

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

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

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

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

Variable Name