Compressibility Factor Calculator

✖Pressure Object is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure Object [p]			+10% -10%
✖Specific Volume of the body is its volume per unit mass.ⓘ Specific Volume [v]			+10% -10%
✖The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.ⓘ Specific Gas Constant [R]			+10% -10%
✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%

✖Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.ⓘ Compressibility Factor [z]

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Formula

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Compressibility Factor

Formula

`"z" = ("p"*"v")/("R"*"T")`

Example

`"1.938317"=("38.4Pa"*"0.8m³/kg")/("0.055J/(kg*K)"*"288.16K")`

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Compressibility Factor Solution

STEP 0: Pre-Calculation Summary

Formula Used

Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)
z = (p*v)/(R*T)
This formula uses 5 Variables

Variables Used

Compressibility Factor - Compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas.
Pressure Object - (Measured in Pascal) - Pressure Object is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Specific Volume - (Measured in Cubic Meter per Kilogram) - Specific Volume of the body is its volume per unit mass.
Specific Gas Constant - (Measured in Joule per Kilogram per K) - The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.

STEP 1: Convert Input(s) to Base Unit

Pressure Object: 38.4 Pascal --> 38.4 Pascal No Conversion Required
Specific Volume: 0.8 Cubic Meter per Kilogram --> 0.8 Cubic Meter per Kilogram No Conversion Required
Specific Gas Constant: 0.055 Joule per Kilogram per K --> 0.055 Joule per Kilogram per K No Conversion Required
Temperature: 288.16 Kelvin --> 288.16 Kelvin No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

z = (p*v)/(R*T) --> (38.4*0.8)/(0.055*288.16)

Evaluating ... ...

z = 1.93831709656252

STEP 3: Convert Result to Output's Unit

1.93831709656252 --> No Conversion Required

FINAL ANSWER

1.93831709656252 ≈ 1.938317 <-- Compressibility Factor

(Calculation completed in 00.004 seconds)

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Created by Suman Ray Pramanik

Indian Institute of Technology (IIT), Kanpur

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Go Relative Humidity = Specific Humidity*Partial Pressure/((0.622+Specific Humidity)*Vapor Pressure of Pure Component A)

Critical Compressibility

Go Compressibility Factor = (Critical Pressure*Critical Volume*10^(-3))/(Specific Gas Constant*Critical Temperature)

Pseudo-Reduced Specific Volume

Go Pseudo Reduced Specific Volume = Specific Volume*Critical Pressure/([R]*Critical Temperature)

Compressibility Factor

Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)

Partial Pressure of Water Vapour

Go Partial Pressure = Pressure of Gas*1.8*Atmospheric Pressure*Temperature Difference/2700

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Go Pressure = 1/3*Density of Gas*Root Mean Square Velocity^2

Reduced Pressure

Go Reduced Pressure = Pressure/Critical Pressure

Mean Effective Pressure

Go Mean Effective Pressure = Work/Displacement

< 16 Basic Formulas of Thermodynamics Calculators

Work Done in Adiabatic Process using Specific Heat Capacity at Constant Pressure and Volume

Go Work done in Thermodynamic Process = (Initial Pressure of System*Initial Volume of System-Final Pressure of System*Final Volume of System)/((Molar Specific Heat Capacity at Constant Pressure/Molar Specific Heat Capacity at Constant Volume)-1)

Liquid phase mole fraction using Gamma - phi formulation of VLE

Go Mole Fraction of Component in Liquid Phase = (Mole Fraction of Component in Vapor Phase*Fugacity Coefficient*Total Pressure)/(Activity Coefficient*Saturated Pressure)

Isothermal Compression of Ideal Gas

Go Isothermal Work = Number of Moles*[R]*Temperature of Gas*2.303*log10(Final Volume of System/Initial Volume of System)

Isothermal Work using Pressure Ratio

Go Isothermal Work given Pressure Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Initial Pressure of System/Final Pressure of System)

Isothermal Work Done by Gas

Go Isothermal Work = Number of Moles*[R]*Temperature*2.303*log10(Final Volume of Gas/Initial Volume of Gas)

Polytropic Work

Go Polytropic Work = (Final Pressure of System*Final Volume of Gas-Initial Pressure of System*Initial Volume of Gas)/(1-Polytropic Index)

Isothermal Work using Volume Ratio

Go Isothermal Work given Volume Ratio = Initial Pressure of System*Initial Volume of Gas*ln(Final Volume of Gas/Initial Volume of Gas)

Isothermal Work using Temperature

Go Isothermal work given temperature = [R]*Temperature*ln(Initial Pressure of System/Final Pressure of System)

Compressibility Factor

Go Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)

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Go Degree of Freedom = 2*Internal Energy/(Number of Moles*[R]*Temperature of Gas)

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Go Degree of Freedom = 2*Equipartition Energy/([BoltZ]*Temperature of Gas B)

Work Done in Isobaric Process

Go Isobaric Work = Pressure Object*(Final Volume of Gas-Initial Volume of Gas)

Total Number of Variables in System

Go Total Number of Variables in System = Number of Phases*(Number of Components in System-1)+2

Number of Components

Go Number of Components in System = Degree of Freedom+Number of Phases-2

Degree of Freedom

Go Degree of Freedom = Number of Components in System-Number of Phases+2

Number of Phases

Go Number of Phases = Number of Components in System-Degree of Freedom+2

Compressibility Factor Formula

Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature)
z = (p*v)/(R*T)

What is the Compressibility Factor?

The compressibility factor is the correction factor that describes the deviation of the real gas from the ideal gas. Ideally, its value is 1.

What is Ideal Gas Law?

The ideal gas law states that the product of the pressure and the volume of one gram molecule of an ideal gas is equal to the product of the absolute temperature of the gas and the universal gas constant.

How to Calculate Compressibility Factor?

Compressibility Factor calculator uses Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature) to calculate the Compressibility Factor, The compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas. Compressibility Factor is denoted by z symbol.

How to calculate Compressibility Factor using this online calculator? To use this online calculator for Compressibility Factor, enter Pressure Object (p), Specific Volume (v), Specific Gas Constant (R) & Temperature (T) and hit the calculate button. Here is how the Compressibility Factor calculation can be explained with given input values -> 5047.701 = (38.4*0.8)/(0.055*288.16).

FAQ

What is Compressibility Factor?

The compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas and is represented as z = (p*v)/(R*T) or Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature). Pressure Object is the force applied perpendicular to the surface of an object per unit area over which that force is distributed, Specific Volume of the body is its volume per unit mass, The Specific Gas Constant of a gas or a mixture of gases is given by the molar gas constant divided by the molar mass of the gas or mixture & Temperature is the degree or intensity of heat present in a substance or object.

How to calculate Compressibility Factor?

The compressibility factor is the factor of correction that describes the deviation of the real gas from the ideal gas is calculated using Compressibility Factor = (Pressure Object*Specific Volume)/(Specific Gas Constant*Temperature). To calculate Compressibility Factor, you need Pressure Object (p), Specific Volume (v), Specific Gas Constant (R) & Temperature (T). With our tool, you need to enter the respective value for Pressure Object, Specific Volume, Specific Gas Constant & 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 Compressibility Factor?

In this formula, Compressibility Factor uses Pressure Object, Specific Volume, Specific Gas Constant & Temperature. We can use 1 other way(s) to calculate the same, which is/are as follows -

Compressibility Factor = (Critical Pressure*Critical Volume*10^(-3))/(Specific Gas Constant*Critical Temperature)

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