Critical Pressure using Modified Berthelot Equation given Reduced and Actual 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

✖Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure of Gas [P_rg]			+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%
✖Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume.ⓘ Molar Volume of Real Gas [V'_m]			+10% -10%
✖Temperature of Real Gas is the degree or intensity of heat present in a substance or object.ⓘ Temperature of Real Gas [T_rg]			+10% -10%

✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters [P_c]

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Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters

Formula

`"P"_{"c"} = 9/128*("P"_{"rg"}/"T"_{"r"})*((1-(6/("T"_{"r"}^2)))/((("P"_{"rg"}*"V'"_{"m"})/("[R]"*"T"_{"rg"}))-1))`

Example

`"46296.18Pa"=9/128*("10132Pa"/"0.461")*((1-(6/(("0.461")^2)))/((("10132Pa"*"0.0224m³")/("[R]"*"300K"))-1))`

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Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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))
P_c = 9/128*(P_rg/T_r)*((1-(6/(T_r^2)))/(((P_rg*V'_m)/([R]*T_rg))-1))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Pressure of Gas - (Measured in Pascal) - Pressure of Gas 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.
Molar Volume of Real Gas - (Measured in Cubic Meter) - Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume.
Temperature of Real Gas - (Measured in Kelvin) - Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Pressure of Gas: 10132 Pascal --> 10132 Pascal No Conversion Required
Reduced Temperature: 0.461 --> No Conversion Required
Molar Volume of Real Gas: 0.0224 Cubic Meter --> 0.0224 Cubic Meter No Conversion Required
Temperature of Real Gas: 300 Kelvin --> 300 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_c = 9/128*(P_rg/T_r)*((1-(6/(T_r^2)))/(((P_rg*V'_m)/([R]*T_rg))-1)) --> 9/128*(10132/0.461)*((1-(6/(0.461^2)))/(((10132*0.0224)/([R]*300))-1))

Evaluating ... ...

P_c = 46296.1760557535

STEP 3: Convert Result to Output's Unit

46296.1760557535 Pascal --> No Conversion Required

FINAL ANSWER

46296.1760557535 ≈ 46296.18 Pascal <-- Critical 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 » Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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))

Critical Pressure using Modified Berthelot Equation given Reduced and Actual 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 Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses 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)) to calculate the Critical Pressure, The Critical Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature. Critical Pressure is denoted by P_c symbol.

How to calculate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, enter Pressure of Gas (P_rg), Reduced Temperature (T_r), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg) and hit the calculate button. Here is how the Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 61991.5 = 9/128*(10132/0.461)*((1-(6/(0.461^2)))/(((10132*0.0224)/([R]*300))-1)).

FAQ

What is Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

The Critical Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature and is represented as P_c = 9/128*(P_rg/T_r)*((1-(6/(T_r^2)))/(((P_rg*V'_m)/([R]*T_rg))-1)) or 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)). Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Molar Volume of Real Gas or Molar gas volume is one mole of any gas at a specific temperature and pressure has a fixed volume & Temperature of Real Gas is the degree or intensity of heat present in a substance or object.

How to calculate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters?

The Critical Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as the minimum pressure required to liquify a substance at the critical temperature is calculated using 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)). To calculate Critical Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, you need Pressure of Gas (P_rg), Reduced Temperature (T_r), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg). With our tool, you need to enter the respective value for Pressure of Gas, Reduced Temperature, Molar Volume of Real Gas & Temperature of Real Gas and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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