Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Calculator

✖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%
✖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%

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature using Modified Berthelot Equation given Reduced and Actual Parameters [T]

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Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
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.
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

Pressure: 800 Pascal --> 800 Pascal 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

T = (p*V_m/[R])/(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) --> (800*22.4/[R])/(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2))))))

Evaluating ... ...

T = 2155.28007885991

STEP 3: Convert Result to Output's Unit

2155.28007885991 Kelvin --> No Conversion Required

FINAL ANSWER

2155.28007885991 ≈ 2155.28 Kelvin <-- Temperature

(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 » Temperature 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))

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters Formula

LaTeX Go

Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2))))))
T = (p*V_m/[R])/(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 Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))) to calculate the Temperature, The Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

How to calculate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, enter Pressure (p), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Temperature using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 2155.28 = (800*22.4/[R])/(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))).

FAQ

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

The Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T = (p*V_m/[R])/(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) or Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 Temperature using Modified Berthelot Equation given Reduced and Actual Parameters?

The Temperature using Modified Berthelot equation given reduced and actual parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature = (Pressure*Molar Volume/[R])/(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). To calculate Temperature using Modified Berthelot Equation given Reduced and Actual Parameters, you need Pressure (p), Molar Volume (V_m), Reduced Pressure (P_r) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for Pressure, 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 Temperature?

In this formula, Temperature uses Pressure, Molar Volume, Reduced Pressure & Reduced Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

Temperature = (Pressure+(Berthelot Parameter a/Molar Volume))/([R]/(Molar Volume-Berthelot Parameter b))
Temperature = ((Reduced Pressure*Critical Pressure)+(Berthelot Parameter a/(Reduced Molar Volume*Critical Molar Volume)))/([R]/((Reduced Molar Volume*Critical Molar Volume)-Berthelot Parameter b))

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