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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Compressibility Factor Formula

​LaTeX ​Go
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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