Reduced Pressure using Modified Berthelot Equation given Actual Parameters Calculator

✖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%
✖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%
✖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%

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure using Modified Berthelot Equation given Actual Parameters [P_r]

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Reduced Pressure using Modified Berthelot Equation given Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. 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 Temperature: 0.461 --> 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

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

Evaluating ... ...

P_r = 0.218851768400877

STEP 3: Convert Result to Output's Unit

0.218851768400877 --> No Conversion Required

FINAL ANSWER

0.218851768400877 ≈ 0.218852 <-- Reduced Pressure

(Calculation completed in 00.020 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))

Reduced Pressure using Modified Berthelot Equation given Actual Parameters Formula

LaTeX Go

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 Pressure using Modified Berthelot Equation given Actual Parameters?

Reduced Pressure using Modified Berthelot Equation given Actual Parameters calculator uses 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)))) to calculate the Reduced Pressure, The Reduced Pressure using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by P_r symbol.

How to calculate Reduced Pressure using Modified Berthelot Equation given Actual Parameters using this online calculator? To use this online calculator for Reduced Pressure using Modified Berthelot Equation given Actual Parameters, enter Reduced Temperature (T_r), Pressure of Gas (P_rg), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg) and hit the calculate button. Here is how the Reduced Pressure using Modified Berthelot Equation given Actual Parameters calculation can be explained with given input values -> 0.163442 = 128/9*0.461*((((10132*0.0224)/([R]*300))-1)/(1-(6/(0.461^2)))).

FAQ

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

The Reduced Pressure using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as P_r = 128/9*T_r*((((P_rg*V'_m)/([R]*T_rg))-1)/(1-(6/(T_r^2)))) or 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)))). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. 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 Pressure using Modified Berthelot Equation given Actual Parameters?

The Reduced Pressure using Modified Berthelot equation given actual parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using 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)))). To calculate Reduced Pressure using Modified Berthelot Equation given Actual Parameters, you need Reduced Temperature (T_r), Pressure of Gas (P_rg), Molar Volume of Real Gas (V'_m) & Temperature of Real Gas (T_rg). With our tool, you need to enter the respective value for Reduced Temperature, 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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