Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Calculator

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Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Redlich Kwong Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Van der Waals Force

Wohl Model of Real Gas

✖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 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%
✖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 given Critical and Reduced Parameters [p]

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Formula

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Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters

Formula

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

Example

`"418.3093Pa"=(("[R]"*("10"*"647K"))/(("11.2"*"11.5m³/mol")-"0.2"))-("0.1"/(("10"*"647K")*(("11.2"*"11.5m³/mol")^2)))`

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Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
p = (([R]*(T_r*T_c))/((V_m,r*V_m,c)-b))-(a/((T_r*T_c)*((V_m,r*V_m,c)^2)))
This formula uses 1 Constants, 7 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.
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 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.
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

Reduced Temperature: 10 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
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
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_r*T_c))/((V_m,r*V_m,c)-b))-(a/((T_r*T_c)*((V_m,r*V_m,c)^2))) --> (([R]*(10*647))/((11.2*11.5)-0.2))-(0.1/((10*647)*((11.2*11.5)^2)))

Evaluating ... ...

p = 418.309277910822

STEP 3: Convert Result to Output's Unit

418.309277910822 Pascal --> No Conversion Required

FINAL ANSWER

418.309277910822 ≈ 418.3093 Pascal <-- Pressure

(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 » Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters

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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 given Critical and Reduced Parameters Formula

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 given Critical and Reduced Parameters?

Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters calculator uses 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))) to calculate the Pressure, The Pressure of Real Gas using Berthelot equation given critical and reduced parameters is 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 given Critical and Reduced Parameters using this online calculator? To use this online calculator for Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters, enter Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Berthelot Parameter b (b) & Berthelot Parameter a (a) and hit the calculate button. Here is how the Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters calculation can be explained with given input values -> 418.3093 = (([R]*(10*647))/((11.2*11.5)-0.2))-(0.1/((10*647)*((11.2*11.5)^2))).

FAQ

What is Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters?

The Pressure of Real Gas using Berthelot equation given critical and reduced parameters is the stress on the walls of its container that the gas exerts and is represented as p = (([R]*(T_r*T_c))/((V_m,r*V_m,c)-b))-(a/((T_r*T_c)*((V_m,r*V_m,c)^2))) or 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 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 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, 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 given Critical and Reduced Parameters?

The Pressure of Real Gas using Berthelot equation given critical and reduced parameters is the stress on the walls of its container that the gas exerts is calculated using 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))). To calculate Pressure of Real Gas using Berthelot Equation given Critical and Reduced Parameters, you need Reduced Temperature (T_r), Critical Temperature (T_c), Reduced Molar Volume (V_m,r), Critical Molar Volume (V_m,c), Berthelot Parameter b (b) & Berthelot Parameter a (a). With our tool, you need to enter the respective value for Reduced Temperature, Critical Temperature, Reduced Molar Volume, Critical 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 Reduced Temperature, Critical Temperature, Reduced Molar Volume, Critical 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-Berthelot Parameter b))-(Berthelot Parameter a/(Temperature*(Molar Volume^2)))
Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))

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