Reduced Temperature using Modified Berthelot Equation given Actual Parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)
Tred = ((9*Pr)/128)/(((Prg*V'm)/([R]*Trg))-1)
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Temperature in Real Gases - (Measured in Kelvin) - Reduced Temperature in Real Gases is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
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.
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
Reduced Pressure: 3.675E-05 --> No Conversion Required
Pressure of Gas: 10132 Pascal --> 10132 Pascal 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
Tred = ((9*Pr)/128)/(((Prg*V'm)/([R]*Trg))-1) --> ((9*3.675E-05)/128)/(((10132*0.0224)/([R]*300))-1)
Evaluating ... ...
Tred = -2.84263193803277E-06
STEP 3: Convert Result to Output's Unit
-2.84263193803277E-06 Kelvin --> No Conversion Required
FINAL ANSWER
-2.84263193803277E-06 -2.8E-6 Kelvin <-- Reduced Temperature in Real Gases
(Calculation completed in 00.004 seconds)

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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))

Reduced Temperature using Modified Berthelot Equation given Actual Parameters Formula

Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1)
Tred = ((9*Pr)/128)/(((Prg*V'm)/([R]*Trg))-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 Reduced Temperature using Modified Berthelot Equation given Actual Parameters?

Reduced Temperature using Modified Berthelot Equation given Actual Parameters calculator uses Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1) to calculate the Reduced Temperature in Real Gases, The Reduced Temperature using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless. Reduced Temperature in Real Gases is denoted by Tred symbol.

How to calculate Reduced Temperature using Modified Berthelot Equation given Actual Parameters using this online calculator? To use this online calculator for Reduced Temperature using Modified Berthelot Equation given Actual Parameters, enter Reduced Pressure (Pr), Pressure of Gas (Prg), Molar Volume of Real Gas (V'm) & Temperature of Real Gas (Trg) and hit the calculate button. Here is how the Reduced Temperature using Modified Berthelot Equation given Actual Parameters calculation can be explained with given input values -> -3.8E-6 = ((9*3.675E-05)/128)/(((10132*0.0224)/([R]*300))-1).

FAQ

What is Reduced Temperature using Modified Berthelot Equation given Actual Parameters?
The Reduced Temperature using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as Tred = ((9*Pr)/128)/(((Prg*V'm)/([R]*Trg))-1) or Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Pressure of Gas is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 Reduced Temperature using Modified Berthelot Equation given Actual Parameters?
The Reduced Temperature using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Reduced Temperature in Real Gases = ((9*Reduced Pressure)/128)/(((Pressure of Gas*Molar Volume of Real Gas)/([R]*Temperature of Real Gas))-1). To calculate Reduced Temperature using Modified Berthelot Equation given Actual Parameters, you need Reduced Pressure (Pr), Pressure of Gas (Prg), Molar Volume of Real Gas (V'm) & Temperature of Real Gas (Trg). With our tool, you need to enter the respective value for Reduced Pressure, Pressure of Gas, 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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