Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters Calculator

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Berthelot and Modified Berthelot Model of Real Gas

Clausius Model of Real Gas

Peng Robinson Model of Real Gas

Redlich Kwong Model of Real Gas

Saturation Vapour Pressure

Specific Heat Capacity

Van der Waals Force

Wohl Model of Real Gas

✖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%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%
✖Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.ⓘ Critical Temperature [T_c]			+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 Critical and Actual Parameters [V_m]

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Formula

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Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters

Formula

`"V"_{"m"} = ("[R]"*"T"/"p")*(1+(((9*"p"/"P"_{"c"})/(128*"T"/"T"_{"c"}))*(1-(6/(("T"^2)/("T"_{"c"}^2))))))`

Example

`"-600.547m³/mol"=("[R]"*"85K"/"800Pa")*(1+(((9*"800Pa"/"218Pa")/(128*"85K"/"647K"))*(1-(6/((("85K")^2)/(("647K")^2))))))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2))))))
V_m = ([R]*T/p)*(1+(((9*p/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
Critical Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m = ([R]*T/p)*(1+(((9*p/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^2)))))) --> ([R]*85/800)*(1+(((9*800/218)/(128*85/647))*(1-(6/((85^2)/(647^2))))))

Evaluating ... ...

V_m = -600.546999840489

STEP 3: Convert Result to Output's Unit

-600.546999840489 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

-600.546999840489 ≈ -600.547 Cubic Meter per Mole <-- Molar Volume

(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 » Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters

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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))

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

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 Critical and Actual Parameters?

Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters calculator uses Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))) to calculate the Molar Volume, The Molar Volume using Modified Berthelot equation given critical and actual parameters is 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 Critical and Actual Parameters using this online calculator? To use this online calculator for Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters, enter Temperature (T), Pressure (p), Critical Pressure (P_c) & Critical Temperature (T_c) and hit the calculate button. Here is how the Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters calculation can be explained with given input values -> -600.547 = ([R]*85/800)*(1+(((9*800/218)/(128*85/647))*(1-(6/((85^2)/(647^2)))))).

FAQ

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

The Molar Volume using Modified Berthelot equation given critical and actual parameters is 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/P_c)/(128*T/T_c))*(1-(6/((T^2)/(T_c^2)))))) or Molar Volume = ([R]*Temperature/Pressure)*(1+(((9*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical 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, Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature & Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.

How to calculate Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters?

The Molar Volume using Modified Berthelot equation given critical and actual parameters is 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*Pressure/Critical Pressure)/(128*Temperature/Critical Temperature))*(1-(6/((Temperature^2)/(Critical Temperature^2)))))). To calculate Molar Volume using Modified Berthelot Equation given Critical and Actual Parameters, you need Temperature (T), Pressure (p), Critical Pressure (P_c) & Critical Temperature (T_c). With our tool, you need to enter the respective value for Temperature, Pressure, Critical Pressure & Critical 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, Critical Pressure & Critical Temperature. We can use 4 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*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced 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))
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))))))

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