Molar Volume 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%
✖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%
✖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%

✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters [V_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Real Gas Formula PDF PDF Image

Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.
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
Pressure: 800 Pascal --> 800 Pascal 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

V_m = ([R]*T/p)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) --> ([R]*85/800)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2))))))

Evaluating ... ...

V_m = 0.883411867754641

STEP 3: Convert Result to Output's Unit

0.883411867754641 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.883411867754641 ≈ 0.883412 Cubic Meter per Mole <-- Molar Volume

(Calculation completed in 00.004 seconds)

You are here -

Home » Chemistry » Kinetic Theory of Gases » Real Gas » Berthelot and Modified Berthelot Model of Real Gas » Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters

Credits

Created by Prerana Bakli

University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

Prerana Bakli has created this Calculator and 800+ more calculators!

Verified by Prashant Singh

K J Somaiya College of science (K J Somaiya), Mumbai

Prashant Singh has verified this Calculator and 500+ more calculators!

< 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))

Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters Formula

LaTeX Go

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

Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))) to calculate the Molar Volume, The Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure. Molar Volume is denoted by V_m symbol.

How to calculate Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters, enter Temperature (T), Pressure (p), Reduced Pressure (P_r) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 0.883412 = ([R]*85/800)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))).

FAQ

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

The Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure and is represented as V_m = ([R]*T/p)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))) or Molar Volume = ([R]*Temperature/Pressure)*(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, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, 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 Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters?

The Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by one mole of a substance which can be a chemical element or a chemical compound at Standard Temperature and Pressure is calculated using Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))). To calculate Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters, you need Temperature (T), Pressure (p), Reduced Pressure (P_r) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for Temperature, Pressure, 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 Molar Volume?

In this formula, Molar Volume uses Temperature, Pressure, Reduced Pressure & Reduced Temperature. We can use 3 other way(s) to calculate the same, which is/are as follows -

Molar Volume = ((1/Pressure)+(Berthelot Parameter b/([R]*Temperature)))/((1/([R]*Temperature))-(Temperature/Berthelot Parameter a))
Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2))))))
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))

Home

FREE PDFs

🔍 Search