Pressure of Real Gas using Berthelot Equation Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+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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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)/(V_m-b))-(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

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)/(V_m-b))-(a/(T*(V_m^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 00.004 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))

Pressure of Real Gas using Berthelot Equation Formula

LaTeX Go

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