Berthelot parameter b of Real Gas Calculator

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+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 [b]

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Berthelot parameter b of Real Gas Solution

STEP 0: Pre-Calculation Summary

Formula Used

Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2)))))
b = V_m-(([R]*T)/(p+(a/(T*(V_m^2)))))
This formula uses 1 Constants, 5 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.
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
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

Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 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]*T)/(p+(a/(T*(V_m^2))))) --> 22.4-(([R]*85)/(800+(0.1/(85*(22.4^2)))))

Evaluating ... ...

b = 21.5165883494104

STEP 3: Convert Result to Output's Unit

21.5165883494104 --> No Conversion Required

FINAL ANSWER

21.5165883494104 ≈ 21.51659 <-- Berthelot Parameter b

(Calculation completed in 00.004 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))

Berthelot parameter b of Real Gas Formula

LaTeX Go

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

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?

Berthelot parameter b of Real Gas calculator uses Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))) to calculate the Berthelot Parameter b, The Berthelot parameter b of Real Gas 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 using this online calculator? To use this online calculator for Berthelot parameter b of Real Gas, enter Molar Volume (V_m), Temperature (T), Pressure (p) & Berthelot Parameter a (a) and hit the calculate button. Here is how the Berthelot parameter b of Real Gas calculation can be explained with given input values -> 21.51659 = 22.4-(([R]*85)/(800+(0.1/(85*(22.4^2))))).

FAQ

What is Berthelot parameter b of Real Gas?

The Berthelot parameter b of Real Gas 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]*T)/(p+(a/(T*(V_m^2))))) or Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))). Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Temperature is the degree or intensity of heat present in a substance or object, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & 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?

The Berthelot parameter b of Real Gas formula is defined as an empirical parameter characteristic to equation obtained from Berthelot model of real gas is calculated using Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2))))). To calculate Berthelot parameter b of Real Gas, you need Molar Volume (V_m), Temperature (T), Pressure (p) & Berthelot Parameter a (a). With our tool, you need to enter the respective value for Molar Volume, Temperature, 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 Molar Volume, Temperature, Pressure & Berthelot Parameter a. We can use 1 other way(s) to calculate the same, which is/are as follows -

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)))))

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