Critical 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%
✖Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume [V_m,r]			+10% -10%

✖Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters [V_m,c]

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

STEP 0: Pre-Calculation Summary

Formula Used

Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume
V_m,c = (([R]*T/p)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))))/V_m,r
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Critical Molar Volume - (Measured in Cubic Meter per Mole) - Critical Molar Volume is the volume occupied by gas at critical temperature and pressure per mole.
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.
Reduced Molar Volume - Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

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
Reduced Molar Volume: 11.2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V_m,c = (([R]*T/p)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))))/V_m,r --> (([R]*85/800)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))))/11.2

Evaluating ... ...

V_m,c = 0.0788760596209501

STEP 3: Convert Result to Output's Unit

0.0788760596209501 Cubic Meter per Mole --> No Conversion Required

FINAL ANSWER

0.0788760596209501 ≈ 0.078876 Cubic Meter per Mole <-- Critical 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 » Critical Molar Volume 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))

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

Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters calculator uses Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume to calculate the Critical Molar Volume, The Critical Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole. Critical Molar Volume is denoted by V_m,c symbol.

How to calculate Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters using this online calculator? To use this online calculator for Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters, enter Temperature (T), Pressure (p), Reduced Pressure (P_r), Reduced Temperature (T_r) & Reduced Molar Volume (V_m,r) and hit the calculate button. Here is how the Critical Molar Volume using Modified Berthelot Equation given Reduced and Actual Parameters calculation can be explained with given input values -> 0.078876 = (([R]*85/800)*(1+(((9*3.675E-05)/(128*10))*(1-(6/((10^2)))))))/11.2.

FAQ

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

The Critical Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole and is represented as V_m,c = (([R]*T/p)*(1+(((9*P_r)/(128*T_r))*(1-(6/((T_r^2)))))))/V_m,r or Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume. 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 & Reduced Molar Volume of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.

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

The Critical Molar Volume using Modified Berthelot equation given reduced and actual parameters formula is defined as the volume occupied by gas at critical temperature and pressure per mole is calculated using Critical Molar Volume = (([R]*Temperature/Pressure)*(1+(((9*Reduced Pressure)/(128*Reduced Temperature))*(1-(6/((Reduced Temperature^2)))))))/Reduced Molar Volume. To calculate Critical 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) & Reduced Molar Volume (V_m,r). With our tool, you need to enter the respective value for Temperature, Pressure, Reduced Pressure, Reduced Temperature & Reduced Molar Volume 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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