Berthelot Parameter b of Real Gas given Critical and Reduced Parameters Calculator

✖Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume [V_m,r]			+10% -10%
✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume [V_m,c]			+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%
✖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 a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter a [a]			+10% -10%

✖Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter b of Real Gas given Critical and Reduced Parameters [b]

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Berthelot Parameter b of Real Gas given Critical and Reduced Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Berthelot Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)))))
b = (V_m,r*V_m,c)-(([R]*(T_r*T_c))/((P_r*P_c)+(a/((T_r*T_c)*((V_m,r*V_m,c)^2)))))
This formula uses 1 Constants, 8 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Berthelot Parameter b - Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
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.
Critical Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.
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.
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 Molar Volume: 11.2 --> No Conversion Required
Critical Molar Volume: 11.5 Cubic Meter per Mole --> 11.5 Cubic Meter per Mole No Conversion Required
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
Berthelot Parameter a: 0.1 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = (V_m,r*V_m,c)-(([R]*(T_r*T_c))/((P_r*P_c)+(a/((T_r*T_c)*((V_m,r*V_m,c)^2))))) --> (11.2*11.5)-(([R]*(10*647))/((3.675E-05*218)+(0.1/((10*647)*((11.2*11.5)^2)))))

Evaluating ... ...

b = -6714539.72444226

STEP 3: Convert Result to Output's Unit

-6714539.72444226 --> No Conversion Required

FINAL ANSWER

-6714539.72444226 ≈ -6714539.724442 <-- Berthelot Parameter b

(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 » Berthelot Parameter b of Real Gas 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))

Berthelot Parameter b of Real Gas 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 Berthelot Parameter b of Real Gas given Critical and Reduced Parameters?

Berthelot Parameter b of Real Gas given Critical and Reduced Parameters calculator uses Berthelot Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))))) to calculate the Berthelot Parameter b, The Berthelot parameter b of Real Gas given critical and reduced parameters formula is defined as an empirical parameter characteristic to equation obtained from Berthelot model of real gas. Berthelot Parameter b is denoted by b symbol.

How to calculate Berthelot Parameter b of Real Gas given Critical and Reduced Parameters using this online calculator? To use this online calculator for Berthelot Parameter b of Real Gas given Critical and Reduced Parameters, enter Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r), Critical Pressure (P_c) & Berthelot Parameter a (a) and hit the calculate button. Here is how the Berthelot Parameter b of Real Gas given Critical and Reduced Parameters calculation can be explained with given input values -> -6714539.724442 = (11.2*11.5)-(([R]*(10*647))/((3.675E-05*218)+(0.1/((10*647)*((11.2*11.5)^2))))).

FAQ

What is Berthelot Parameter b of Real Gas given Critical and Reduced Parameters?

The Berthelot parameter b of Real Gas given critical and reduced parameters formula is defined as an empirical parameter characteristic to equation obtained from Berthelot model of real gas and is represented as b = (V_m,r*V_m,c)-(([R]*(T_r*T_c))/((P_r*P_c)+(a/((T_r*T_c)*((V_m,r*V_m,c)^2))))) or Berthelot Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))))). Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole, Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole, 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 & Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.

How to calculate Berthelot Parameter b of Real Gas given Critical and Reduced Parameters?

The Berthelot parameter b of Real Gas given critical and reduced parameters formula is defined as an empirical parameter characteristic to equation obtained from Berthelot model of real gas is calculated using Berthelot Parameter b = (Reduced Molar Volume*Critical Molar Volume)-(([R]*(Reduced Temperature*Critical Temperature))/((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))))). To calculate Berthelot Parameter b of Real Gas given Critical and Reduced Parameters, you need Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Pressure (P_r), Critical Pressure (P_c) & Berthelot Parameter a (a). With our tool, you need to enter the respective value for Reduced Molar Volume, Critical Molar Volume, Reduced Temperature, Critical Temperature, Reduced Pressure, Critical Pressure & 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 Berthelot Parameter b?

In this formula, Berthelot Parameter b uses Reduced Molar Volume, Critical Molar Volume, Reduced Temperature, Critical Temperature, Reduced Pressure, Critical Pressure & Berthelot Parameter a. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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