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

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%
✖Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter b [b]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖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.ⓘ Critical Temperature [T_c]			+10% -10%
✖Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter a [a]			+10% -10%

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters [V_m]

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

STEP 0: Pre-Calculation Summary

Formula Used

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))
V_m = ((1/(P_r*P_c))+(b/([R]*(T_r*T_c))))/((1/([R]*(T_r*T_c)))-((T_r*T_c)/a))
This formula uses 1 Constants, 7 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Berthelot Parameter b - Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Critical Temperature - (Measured in Kelvin) - 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.
Berthelot Parameter a - Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

STEP 1: Convert Input(s) to Base Unit

Reduced Pressure: 3.675E-05 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Berthelot Parameter b: 0.2 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Berthelot Parameter a: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = ((1/(P_r*P_c))+(b/([R]*(T_r*T_c))))/((1/([R]*(T_r*T_c)))-((T_r*T_c)/a)) --> ((1/(3.675E-05*218))+(0.2/([R]*(10*647))))/((1/([R]*(10*647)))-((10*647)/0.1))

Evaluating ... ...

V_m = -0.00192922062107754

STEP 3: Convert Result to Output's Unit

-0.00192922062107754 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

-0.00192922062107754 ≈ -0.001929 Cubic Meter per Mole <-- Molar Volume

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Berthelot and Modified Berthelot Model of Real Gas » Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters

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< Berthelot and Modified Berthelot Model of Real Gas Calculators

Molar Volume of Real Gas using Berthelot Equation

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

Pressure of Real Gas using Berthelot Equation

LaTeX Go Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))

Berthelot Parameter of Real Gas

LaTeX Go Berthelot Parameter a = ((([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-Pressure)*(Temperature*(Molar Volume^2))

Temperature of Real Gas using Berthelot Equation

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

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

LaTeX Go

What are Real Gases?

Real gases are non ideal gases whose molecules occupy space and have interactions; consequently, they do not adhere to the ideal gas law. To understand the behavior of real gases, the following must be taken into account:
- compressibility effects;
- variable specific heat capacity;
- van der Waals forces;
- non-equilibrium thermodynamic effects;
- issues with molecular dissociation and elementary reactions with variable composition.

How to Calculate Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters calculator uses 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)) to calculate the Molar Volume, The Molar Volume of Real Gas using 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 calculate Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters using this online calculator? To use this online calculator for Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters, enter Reduced Pressure (P_r), Critical Pressure (P_c), Berthelot Parameter b (b), Reduced Temperature (T_r), Critical Temperature (T_c) & Berthelot Parameter a (a) and hit the calculate button. Here is how the Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters calculation can be explained with given input values -> -0.001929 = ((1/(3.675E-05*218))+(0.2/([R]*(10*647))))/((1/([R]*(10*647)))-((10*647)/0.1)).

FAQ

What is Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

The Molar Volume of Real Gas using 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 and is represented as V_m = ((1/(P_r*P_c))+(b/([R]*(T_r*T_c))))/((1/([R]*(T_r*T_c)))-((T_r*T_c)/a)) or 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)). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature, Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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 & Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

How to calculate Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

The Molar Volume of Real Gas using 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 is calculated using 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)). To calculate Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters, you need Reduced Pressure (P_r), Critical Pressure (P_c), Berthelot Parameter b (b), Reduced Temperature (T_r), Critical Temperature (T_c) & Berthelot Parameter a (a). With our tool, you need to enter the respective value for Reduced Pressure, Critical Pressure, Berthelot Parameter b, Reduced Temperature, Critical Temperature & Berthelot Parameter a and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Molar Volume?

In this formula, Molar Volume uses Reduced Pressure, Critical Pressure, Berthelot Parameter b, Reduced Temperature, Critical Temperature & Berthelot Parameter a. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))))))

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