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

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter a [a_PR]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters [T_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
T_r = T/(sqrt((a_PR*(p/P_r))/(0.45724*([R]^2))))
This formula uses 1 Constants, 1 Functions, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

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.
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Peng–Robinson Parameter a - Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
Pressure - (Measured in Pascal) - Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.
Reduced Pressure - Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 3.675E-05 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = T/(sqrt((a_PR*(p/P_r))/(0.45724*([R]^2)))) --> 85/(sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2))))

Evaluating ... ...

T_r = 0.32389847036851

STEP 3: Convert Result to Output's Unit

0.32389847036851 --> No Conversion Required

FINAL ANSWER

0.32389847036851 ≈ 0.323898 <-- 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 given Peng Robinson Parameter a, and other Actual and Reduced Parameters

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

LaTeX Go

Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
T_r = T/(sqrt((a_PR*(p/P_r))/(0.45724*([R]^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 given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculator uses Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))) to calculate the Reduced Temperature, The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters 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 given Peng Robinson Parameter a, and other Actual and Reduced Parameters using this online calculator? To use this online calculator for Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, enter Temperature (T), Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters calculation can be explained with given input values -> 0.323898 = 85/(sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2)))).

FAQ

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

The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as T_r = T/(sqrt((a_PR*(p/P_r))/(0.45724*([R]^2)))) or Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). Temperature is the degree or intensity of heat present in a substance or object, Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed & Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.

How to calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters?

The Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). To calculate Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters, you need Temperature (T), Peng–Robinson Parameter a (a_PR), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Temperature, Peng–Robinson Parameter a, Pressure & Reduced Pressure 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 Temperature, Peng–Robinson Parameter a, Pressure & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

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