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Pressure of Real Gas using Berthelot Equation Calculator

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✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]
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-10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [Vm]
+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%
✖Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.ⓘ Berthelot Parameter a [a]
+10%
-10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure of Real Gas using Berthelot Equation [p]
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Formula
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Pressure of Real Gas using Berthelot Equation

Formula
`"p" = (("[R]"*"T")/("V"_{"m"}-"b"))-("a"/("T"*("V"_{"m"}^2)))`

Example
`"31.83465Pa"=(("[R]"*"85K")/("22.4m³/mol"-"0.2"))-("0.1"/("85K"*(("22.4m³/mol")^2)))`

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Pressure of Real Gas using Berthelot Equation Solution

STEP 0: Pre-Calculation Summary
Formula Used
Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))
p = (([R]*T)/(Vm-b))-(a/(T*(Vm^2)))
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
Berthelot Parameter b - Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
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
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Berthelot Parameter b: 0.2 --> No Conversion Required
Berthelot Parameter a: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
p = (([R]*T)/(Vm-b))-(a/(T*(Vm^2))) --> (([R]*85)/(22.4-0.2))-(0.1/(85*(22.4^2)))
Evaluating ... ...
p = 31.8346518239169
STEP 3: Convert Result to Output's Unit
31.8346518239169 Pascal --> No Conversion Required
FINAL ANSWER
31.8346518239169 ≈ 31.83465 Pascal <-- Pressure
(Calculation completed in 00.007 seconds)
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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Berthelot and Modified Berthelot Model of Real Gas » Pressure of Real Gas using Berthelot Equation

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Created by Prerana Bakli
University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
Prerana Bakli has created this Calculator and 800+ more calculators!
Verified by Prashant Singh
K J Somaiya College of science (K J Somaiya), Mumbai
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21 Berthelot and Modified Berthelot Model of Real Gas Calculators

Molar Volume using Modified Berthelot Equation given Critical and Reduced Parameters
Go 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))))))
Berthelot Parameter b of Real Gas given Critical and Reduced Parameters
Go 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)))))
Berthelot Parameter of Real Gas given Critical and Reduced Parameters
Go Berthelot Parameter a = ((([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Reduced Pressure*Critical Pressure))*((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2))
Molar Volume of Real Gas using Berthelot Equation given Critical and Reduced Parameters
Go 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))
Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters
Go Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)))
Reduced Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters
Go 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
Temperature of Real Gas using Berthelot Equation given Critical and Reduced Parameters
Go Temperature = ((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/(Reduced Molar Volume*Critical Molar Volume)))/([R]/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))
Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters
Go Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2))))))
Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters
Go Critical Pressure = 9/128*(Pressure of Gas/Reduced Temperature)*((1-(6/(Reduced Temperature^2)))/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1))
Molar Volume of Real Gas using Berthelot Equation
Go Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a))
Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters
Go Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume
Reduced Pressure using Modified Berthelot Equation given Actual Parameters
Go Reduced Pressure = 128/9*Reduced Temperature*((((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)/(1-(6/(Reduced Temperature^2))))
Pressure of Real Gas using Berthelot Equation
Go Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))
Berthelot parameter b of Real Gas
Go Berthelot Parameter b = Molar Volume-(([R]*Temperature)/(Pressure+(Berthelot Parameter a/(Temperature*(Molar Volume^2)))))
Berthelot Parameter of Real Gas
Go Berthelot Parameter a = ((([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-Pressure)*(Temperature*(Molar Volume^2))
Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters
Go Molar Volume = ([R]*Temperature/Pressure)*(1+(((9* Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
Temperature using Modified Berthelot Equation given Reduced and Actual Parameters
Go Temperature = (Pressure*Molar Volume/[R])/(1+(((9* Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
Pressure using Modified Berthelot Equation given Reduced and Actual Parameters
Go Pressure = ([R]*Temperature/Molar Volume)*(1+(((9* Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters
Go Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1))
Reduced Temperature using Modified Berthelot Equation given Actual Parameters
Go Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)
Temperature of Real Gas using Berthelot Equation
Go Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b))

Pressure of Real Gas using Berthelot Equation Formula

Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))
p = (([R]*T)/(Vm-b))-(a/(T*(Vm^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 Pressure of Real Gas using Berthelot Equation?

Pressure of Real Gas using Berthelot Equation calculator uses Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2))) to calculate the Pressure, The Pressure of Real Gas using Berthelot equation formula is defined as the stress on the walls of its container that the gas exerts. Pressure is denoted by p symbol.

How to calculate Pressure of Real Gas using Berthelot Equation using this online calculator? To use this online calculator for Pressure of Real Gas using Berthelot Equation, enter Temperature (T), Molar Volume (Vm), Berthelot Parameter b (b) & Berthelot Parameter a (a) and hit the calculate button. Here is how the Pressure of Real Gas using Berthelot Equation calculation can be explained with given input values -> 31.83465 = (([R]*85)/(22.4-0.2))-(0.1/(85*(22.4^2))).

FAQ

What is Pressure of Real Gas using Berthelot Equation?
The Pressure of Real Gas using Berthelot equation formula is defined as the stress on the walls of its container that the gas exerts and is represented as p = (([R]*T)/(Vm-b))-(a/(T*(Vm^2))) or Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2))). Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Berthelot parameter b is an empirical parameter characteristic to equation obtained from Berthelot model of real gas & Berthelot parameter a is an empirical parameter characteristic to equation obtained from Berthelot model of real gas.
How to calculate Pressure of Real Gas using Berthelot Equation?
The Pressure of Real Gas using Berthelot equation formula is defined as the stress on the walls of its container that the gas exerts is calculated using Pressure = (([R]*Temperature)/(Molar Volume-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2))). To calculate Pressure of Real Gas using Berthelot Equation, you need Temperature (T), Molar Volume (Vm), Berthelot Parameter b (b) & Berthelot Parameter a (a). With our tool, you need to enter the respective value for Temperature, Molar Volume, Berthelot Parameter b & 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 Pressure?
In this formula, Pressure uses Temperature, Molar Volume, Berthelot Parameter b & Berthelot Parameter a. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Pressure = ([R]*Temperature/Molar Volume)*(1+(((9* Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
  • Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))-(Berthelot Parameter a/((Reduced Temperature*Critical Temperature)*((Reduced Molar Volume*Critical Molar Volume)^2)))
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