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Pure Component Parameter is a function of the acentric factor. Check FAQs
k=α-11-TTc
k - Pure Component Parameter?α - α-function?T - Temperature?Tc - Critical Temperature?

Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Example

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Here is how the Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature equation looks like with Values.

Here is how the Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature equation looks like with Units.

Here is how the Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature equation looks like.

0.6497Edit=2Edit-11-85Edit647Edit
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Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Solution

Follow our step by step solution on how to calculate Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature?

FIRST Step Consider the formula
k=α-11-TTc
Next Step Substitute values of Variables
∴ k=2-11-85K647K
Next Step Prepare to Evaluate
∴ k=2-11-85647
Next Step Evaluate
∴k=0.649703648163688
LAST Step Rounding Answer
∴k=0.6497

Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature Formula Elements

Variables
Functions
Pure Component Parameter
Pure Component Parameter is a function of the acentric factor.
Symbol: k
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find Pure Component ParameterOpen Variable
α-function
α-function is a function of temperature and the acentric factor.
Symbol: α
Measurement: NAUnit: Unitless
Note: Value can be positive or negative.
Formulas to find α-functionOpen Variable
Temperature
Temperature is the degree or intensity of heat present in a substance or object.
Symbol: T
Measurement: TemperatureUnit: K
Note: Value can be positive or negative.
Formulas to find TemperatureOpen Variable
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.
Symbol: Tc
Measurement: TemperatureUnit: K
Note: Value should be greater than 0.
Formulas to find Critical TemperatureOpen Variable
sqrt
A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.
Syntax: sqrt(Number)

Other Formulas to find Pure Component Parameter

​Go Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature
k=α-11-Tr
​Go Pure Component Factor for Peng Robinson Equation of state using Acentric Factor
k=0.37464+(1.54226⋅ω)-(0.26992⋅ω⋅ω)

Other formulas in Peng Robinson Model of Real Gas category

​Go Pressure of Real Gas using Peng Robinson Equation
p=([R]⋅TVm-bPR)-(aPR⋅α(Vm2)+(2⋅bPR⋅Vm)-(bPR2))
​Go Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters
p=([R]⋅(Tr⋅Tc)(Vm,r⋅Vm,c)-bPR)-(aPR⋅α((Vm,r⋅Vm,c)2)+(2⋅bPR⋅(Vm,r⋅Vm,c))-(bPR2))
​Go Temperature of Real Gas using Peng Robinson Equation
TCE=(p+((aPR⋅α(Vm2)+(2⋅bPR⋅Vm)-(bPR2))))⋅(Vm-bPR[R])
​Go Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters
T=((Pr⋅Pc)+((aPR⋅α((Vm,r⋅Vm,c)2)+(2⋅bPR⋅(Vm,r⋅Vm,c))-(bPR2))))⋅((Vm,r⋅Vm,c)-bPR[R])

How to Evaluate Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature?

Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature evaluator uses Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature)) to evaluate the Pure Component Parameter, The Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature formula is defined as a function of the acentric factor. Pure Component Parameter is denoted by k symbol.

How to evaluate Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature using this online evaluator? To use this online evaluator for Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature, enter α-function (α), Temperature (T) & Critical Temperature (Tc) and hit the calculate button.

FAQs on Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature

What is the formula to find Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature?
The formula of Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature is expressed as Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature)). Here is an example- 0.649704 = (sqrt(2)-1)/(1-sqrt(85/647)).
How to calculate Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature?
With α-function (α), Temperature (T) & Critical Temperature (Tc) we can find Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature using the formula - Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature)). This formula also uses Square Root (sqrt) function(s).
What are the other ways to Calculate Pure Component Parameter?
Here are the different ways to Calculate Pure Component Parameter-
  • Pure Component Parameter=(sqrt(α-function)-1)/(1-sqrt(Reduced Temperature))OpenImg
  • Pure Component Parameter=0.37464+(1.54226*Acentric Factor)-(0.26992*Acentric Factor*Acentric Factor)OpenImg
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