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

✖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%
✖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%

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

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

STEP 0: Pre-Calculation Summary

Formula Used

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))))))
V_m = ([R]*(T_r*T_c)/(P_r*P_c))*(1+(((9*(P_r*P_c)/P_c)/(128*(T_r*T_c)/T_c))*(1-(6/(((T_r*T_c)^2)/(T_c^2))))))
This formula uses 1 Constants, 5 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 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.
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.

STEP 1: Convert Input(s) to Base Unit

Reduced Temperature: 10 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = ([R]*(T_r*T_c)/(P_r*P_c))*(1+(((9*(P_r*P_c)/P_c)/(128*(T_r*T_c)/T_c))*(1-(6/(((T_r*T_c)^2)/(T_c^2)))))) --> ([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))))))

Evaluating ... ...

V_m = 6714670.93626151

STEP 3: Convert Result to Output's Unit

6714670.93626151 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

6714670.93626151 ≈ 6.7E+6 Cubic Meter per Mole <-- Molar Volume

(Calculation completed in 00.020 seconds)

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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 using Modified Berthelot Equation given Critical and Reduced Parameters Formula

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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 using Modified Berthelot Equation given Critical and Reduced Parameters?

Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters calculator 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 calculate 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 calculate Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters using this online calculator? To use this online calculator 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. Here is how the Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters calculation can be explained with given input values -> 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)))))).

FAQ

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

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 and is represented as V_m = ([R]*(T_r*T_c)/(P_r*P_c))*(1+(((9*(P_r*P_c)/P_c)/(128*(T_r*T_c)/T_c))*(1-(6/(((T_r*T_c)^2)/(T_c^2)))))) or 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)))))). 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, 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.

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

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 is calculated using 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 calculate Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters, you need Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Reduced Temperature, Critical Temperature, Reduced Pressure & Critical Pressure 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 Temperature, Critical Temperature, Reduced Pressure & Critical Pressure. 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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