Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Calculator

✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+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%

✖Pure Component Parameter is a function of the acentric factor.ⓘ Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature [k]

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Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature))
k = (sqrt(α)-1)/(1-sqrt(T_r))
This formula uses 1 Functions, 3 Variables

Functions Used

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., sqrt(Number)

Variables Used

Pure Component Parameter - Pure Component Parameter is a function of the acentric factor.
α-function - α-function is a function of temperature and the acentric factor.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

α-function: 2 --> No Conversion Required
Reduced Temperature: 10 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

k = (sqrt(α)-1)/(1-sqrt(T_r)) --> (sqrt(2)-1)/(1-sqrt(10))

Evaluating ... ...

k = -0.191563539689366

STEP 3: Convert Result to Output's Unit

-0.191563539689366 --> No Conversion Required

FINAL ANSWER

-0.191563539689366 ≈ -0.191564 <-- Pure Component Parameter

(Calculation completed in 00.004 seconds)

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< Peng Robinson Model of Real Gas Calculators

Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))

Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Temperature = ((Reduced Pressure*Critical Pressure)+(((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))))*(((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b)/[R])

Temperature of Real Gas using Peng Robinson Equation

LaTeX Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])

Pressure of Real Gas using Peng Robinson Equation

LaTeX Go Pressure = (([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))

Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature Formula

LaTeX Go

Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature))
k = (sqrt(α)-1)/(1-sqrt(T_r))

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 Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

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

How to calculate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature using this online calculator? To use this online calculator for Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature, enter α-function (α) & Reduced Temperature (T_r) and hit the calculate button. Here is how the Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature calculation can be explained with given input values -> -0.191564 = (sqrt(2)-1)/(1-sqrt(10)).

FAQ

What is Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

The Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature formula is defined as a function of the acentric factor and is represented as k = (sqrt(α)-1)/(1-sqrt(T_r)) or Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature)). α-function is a function of temperature and the acentric factor & Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.

How to calculate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature?

The Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature formula is defined as a function of the acentric factor is calculated using Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature)). To calculate Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature, you need α-function (α) & Reduced Temperature (T_r). With our tool, you need to enter the respective value for α-function & Reduced 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 Pure Component Parameter?

In this formula, Pure Component Parameter uses α-function & Reduced Temperature. We can use 2 other way(s) to calculate the same, which is/are as follows -

Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature))
Pure Component Parameter = 0.37464+(1.54226*Acentric Factor)-(0.26992*Acentric Factor*Acentric Factor)

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