Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Calculator

✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+10% -10%
✖Pure Component Parameter is a function of the acentric factor.ⓘ Pure Component Parameter [k]			+10% -10%

✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter [T_r]

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Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2
T_r = (1-((sqrt(α)-1)/k))^2
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

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

STEP 1: Convert Input(s) to Base Unit

α-function: 2 --> No Conversion Required
Pure Component Parameter: 5 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = (1-((sqrt(α)-1)/k))^2 --> (1-((sqrt(2)-1)/5))^2

Evaluating ... ...

T_r = 0.841177490060914

STEP 3: Convert Result to Output's Unit

0.841177490060914 --> No Conversion Required

FINAL ANSWER

0.841177490060914 ≈ 0.841177 <-- Reduced Temperature

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Reduced Temperature » Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

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< Reduced Temperature Calculators

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters

LaTeX Go Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters

LaTeX Go Temperature of Gas = Temperature/(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))

Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters

LaTeX Go Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter

LaTeX Go Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter Formula

LaTeX Go

Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2
T_r = (1-((sqrt(α)-1)/k))^2

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 Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter calculator uses Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2 to calculate the Reduced Temperature, The Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless. Reduced Temperature is denoted by T_r symbol.

How to calculate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter using this online calculator? To use this online calculator for Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, enter α-function (α) & Pure Component Parameter (k) and hit the calculate button. Here is how the Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter calculation can be explained with given input values -> 0.841177 = (1-((sqrt(2)-1)/5))^2.

FAQ

What is Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

How to calculate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter?

The Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Reduced Temperature = (1-((sqrt(α-function)-1)/Pure Component Parameter))^2. To calculate Reduced Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter, you need α-function (α) & Pure Component Parameter (k). With our tool, you need to enter the respective value for α-function & Pure Component Parameter 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 Reduced Temperature?

In this formula, Reduced Temperature uses α-function & Pure Component Parameter. We can use 3 other way(s) to calculate the same, which is/are as follows -

Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Reduced Temperature = Temperature/((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))

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