Molar Volume of Real Gas given Compressibility Factor Solution

STEP 0: Pre-Calculation Summary
Formula Used
Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas
Vmolar = z*Vm (ideal)
This formula uses 3 Variables
Variables Used
Molar Volume of Gas - (Measured in Cubic Meter) - The Molar Volume of Gas is the volume occupied divided by the amount of real gas at a given temperature and pressure.
Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
Molar Volume of Ideal Gas - (Measured in Cubic Meter) - The Molar Volume of Ideal Gas is the volume occupied divided by the amount of ideal gas at a given temperature and pressure.
STEP 1: Convert Input(s) to Base Unit
Compressibility Factor: 11.31975 --> No Conversion Required
Molar Volume of Ideal Gas: 11.2 Liter --> 0.0112 Cubic Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Vmolar = z*Vm (ideal) --> 11.31975*0.0112
Evaluating ... ...
Vmolar = 0.1267812
STEP 3: Convert Result to Output's Unit
0.1267812 Cubic Meter -->126.7812 Liter (Check conversion here)
FINAL ANSWER
126.7812 Liter <-- Molar Volume of Gas
(Calculation completed in 00.004 seconds)

Credits

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K J Somaiya College of science (K J Somaiya), Mumbai
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13 Important Calculator of Compressibility Calculators

Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cv
Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]) )/(Volumetric Coefficient of Thermal Expansion^2)
Thermal Pressure Coefficient given Compressibility Factors and Cp
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/Temperature)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cv
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*(Molar Specific Heat Capacity at Constant Volume+[R]))/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cp
Go Temperature given Cp = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density* (Molar Specific Heat Capacity at Constant Pressure-[R]))/(Thermal Pressure Coefficient^2)
Temperature given Coefficient of Thermal Expansion, Compressibility Factors and Cp
Go Temperature given Coefficient of Thermal Expansion = ((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/(Volumetric Coefficient of Thermal Expansion^2)
Volumetric Coefficient of Thermal Expansion given Compressibility Factors and Cp
Go Volumetric Coefficient of Compressibility = sqrt(((Isothermal Compressibility-Isentropic Compressibility)*Density*Molar Specific Heat Capacity at Constant Pressure)/Temperature)
Thermal Pressure Coefficient given Compressibility Factors and Cv
Go Coefficient of Thermal Pressure = sqrt((((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/Temperature)
Temperature given Thermal Pressure Coefficient, Compressibility Factors and Cv
Go Temperature given Cv = (((1/Isentropic Compressibility)-(1/Isothermal Compressibility))*Density*Molar Specific Heat Capacity at Constant Volume)/(Thermal Pressure Coefficient^2)
Temperature given Relative Size of Fluctuations in Particle Density
Go Temperature given fluctuations = ((Relative Size of Fluctuations/Volume of Gas ))/([BoltZ]*Isothermal Compressibility*(Density^2))
Volume given Relative Size of Fluctuations in Particle Density
Go Volume of Gas given fluctuation size = Relative Size of Fluctuations/(Isothermal Compressibility*[BoltZ]*Temperature*(Density^2))
Relative Size of Fluctuations in Particle Density
Go Relative Size of Fluctuation = Isothermal Compressibility*[BoltZ]*Temperature*(Density^2)*Volume of Gas
Compressibility Factor given Molar Volume of Gases
Go Compressibility Factor for KTOG = Molar Volume of Real Gas/Molar Volume of Ideal Gas
Molar Volume of Real Gas given Compressibility Factor
Go Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas

Molar Volume of Real Gas given Compressibility Factor Formula

Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas
Vmolar = z*Vm (ideal)

What are the postulates of kinetic theory of gases?

1) Actual volume of gas molecules is negligible in comparison to the total volume of the gas. 2) no force of attraction between the gas molecules. 3) Particles of gas are in constant random motion. 4) Particles of gas collide with each other and with the walls of the container. 5)Collisions are perfectly elastic. 6) Different particles of the gas, have different speeds. 7) The average kinetic energy of the gas molecule is directly proportional to the absolute temperature.

How to Calculate Molar Volume of Real Gas given Compressibility Factor?

Molar Volume of Real Gas given Compressibility Factor calculator uses Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas to calculate the Molar Volume of Gas, The molar volume of real gas given compressibility factor formula is defined as the product of the compressibility factor and molar volume of the ideal gas. Molar Volume of Gas is denoted by Vmolar symbol.

How to calculate Molar Volume of Real Gas given Compressibility Factor using this online calculator? To use this online calculator for Molar Volume of Real Gas given Compressibility Factor, enter Compressibility Factor (z) & Molar Volume of Ideal Gas (Vm (ideal)) and hit the calculate button. Here is how the Molar Volume of Real Gas given Compressibility Factor calculation can be explained with given input values -> 0.126781 = 11.31975*0.0112.

FAQ

What is Molar Volume of Real Gas given Compressibility Factor?
The molar volume of real gas given compressibility factor formula is defined as the product of the compressibility factor and molar volume of the ideal gas and is represented as Vmolar = z*Vm (ideal) or Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas. Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas & The Molar Volume of Ideal Gas is the volume occupied divided by the amount of ideal gas at a given temperature and pressure.
How to calculate Molar Volume of Real Gas given Compressibility Factor?
The molar volume of real gas given compressibility factor formula is defined as the product of the compressibility factor and molar volume of the ideal gas is calculated using Molar Volume of Gas = Compressibility Factor*Molar Volume of Ideal Gas. To calculate Molar Volume of Real Gas given Compressibility Factor, you need Compressibility Factor (z) & Molar Volume of Ideal Gas (Vm (ideal)). With our tool, you need to enter the respective value for Compressibility Factor & Molar Volume of Ideal Gas 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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