Critical Temperature 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

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+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%
✖Volume is the amount of space that a substance or object occupies or that is enclosed within a container.ⓘ Volume [V_T]			+10% -10%

✖Critical Temperature of Real Gases 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 using Modified Berthelot Equation given Reduced and Actual Parameters [T_critical]

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Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters

Formula

`"T"_{"critical"} = "T"/(((9*"P"_{"r"})/128)/((("p"*"V"_{"T"})/("[R]"*"T"))-1))`

Example

`"-9436099.263745K"="85K"/(((9*"3.675E^-5")/128)/((("800Pa"*"0.63m³")/("[R]"*"85K"))-1))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1))
T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1))
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Temperature of Real Gases - (Measured in Kelvin) - Critical Temperature of Real Gases 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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
Volume - (Measured in Cubic Meter) - Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Volume: 0.63 Cubic Meter --> 0.63 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1)) --> 85/(((9*3.675E-05)/128)/(((800*0.63)/([R]*85))-1))

Evaluating ... ...

T_critical = -9436099.26374499

STEP 3: Convert Result to Output's Unit

-9436099.26374499 Kelvin --> No Conversion Required

FINAL ANSWER

-9436099.26374499 ≈ -9436099.263745 Kelvin <-- Critical Temperature of Real Gases

(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 Temperature using Modified Berthelot Equation given Reduced and Actual 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))

Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula

Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1))
T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1))

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 Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)) to calculate the Critical Temperature of Real Gases, The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor. Critical Temperature of Real Gases is denoted by T_critical symbol.

How to calculate Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, enter Temperature (T), Reduced Pressure (P_r), Pressure (p) & Volume (V_T) and hit the calculate button. Here is how the Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> -9436099.263745 = 85/(((9*3.675E-05)/128)/(((800*0.63)/([R]*85))-1)).

FAQ

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

The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor and is represented as T_critical = T/(((9*P_r)/128)/(((p*V_T)/([R]*T))-1)) or Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)). Temperature is the degree or intensity of heat present in a substance or object, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Volume is the amount of space that a substance or object occupies or that is enclosed within a container.

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

The Critical Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the highest temperature at which the substance can exist as a liquid. That is the temperature at which the phase boundaries vanish, and the substance can exist both as a liquid and vapor is calculated using Critical Temperature of Real Gases = Temperature/(((9*Reduced Pressure)/128)/(((Pressure*Volume)/([R]*Temperature))-1)). To calculate Critical Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, you need Temperature (T), Reduced Pressure (P_r), Pressure (p) & Volume (V_T). With our tool, you need to enter the respective value for Temperature, Reduced Pressure, Pressure & Volume 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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