Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+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%
✖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 is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure using Modified Berthelot Equation given Reduced and Actual Parameters [p]

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Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
p = ([R]*T/V_m)*(1+(((9*P_r)/(128*T_r))*(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

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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
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.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

p = ([R]*T/V_m)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) --> ([R]*85/22.4)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2))))))

Evaluating ... ...

p = 31.55042384838

STEP 3: Convert Result to Output's Unit

31.55042384838 Pascal --> No Conversion Required

FINAL ANSWER

31.55042384838 ≈ 31.55042 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 using Modified Berthelot Equation given Reduced and Actual Parameters

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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))

Pressure using Modified Berthelot Equation given Reduced and Actual Parameters Formula

LaTeX Go

Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
p = ([R]*T/V_m)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2))))))

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 using Modified Berthelot Equation given Reduced and Actual Parameters?

Pressure using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))) to calculate the Pressure, The Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as is the stress on the walls of its container that the gas exerts. Pressure is denoted by p symbol.

How to calculate Pressure using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, enter Temperature (T), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Pressure using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 31.55042 = ([R]*85/22.4)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))).

FAQ

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

The Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as is the stress on the walls of its container that the gas exerts and is represented as p = ([R]*T/V_m)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) or Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

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

The Pressure using Modified Berthelot equation given reduced and actual parameters formula is defined as is the stress on the walls of its container that the gas exerts is calculated using Pressure = ([R]*Temperature/Molar Volume)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). To calculate Pressure using Modified Berthelot Equation given Reduced and Actual Parameters, you need Temperature (T), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for Temperature, Molar Volume, Reduced Pressure & Reduced Temperature 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 Temperature, Molar Volume, Reduced Pressure & Reduced Temperature. 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]*(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)))

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