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))))
Tr = T/(sqrt((aPR*(p/Pr))/(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
Tr = T/(sqrt((aPR*(p/Pr))/(0.45724*([R]^2)))) --> 85/(sqrt((0.1*(800/3.675E-05))/(0.45724*([R]^2))))
Evaluating ... ...
Tr = 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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7 Reduced Temperature Calculators

Reduced Temperature using Peng Robinson Equation given Reduced and Critical Parameters
Go Reduced 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]))/Critical Temperature
Reduced Temperature using Peng Robinson Equation given Critical and Actual Parameters
Go Reduced Temperature = ((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]))/Critical Temperature
Reduced Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters
Go Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Reduced Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Reduced Temperature = Temperature/((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))
Reduced Temperature given Peng Robinson Parameter a, and other Actual and Critical Parameters
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
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
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

Reduced Temperature = Temperature/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Tr = T/(sqrt((aPR*(p/Pr))/(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 Tr 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 (aPR), Pressure (p) & Reduced Pressure (Pr) 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 Tr = T/(sqrt((aPR*(p/Pr))/(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 (aPR), Pressure (p) & Reduced Pressure (Pr). 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 5 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]))
  • Reduced Temperature = ((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]))/Critical Temperature
  • Reduced 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]))/Critical Temperature
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