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

STEP 0: Pre-Calculation Summary
Formula Used
Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Tr = T/((bPR*Pc)/(0.07780*[R]))
This formula uses 1 Constants, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
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 b - Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
STEP 1: Convert Input(s) to Base Unit
Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Tr = T/((bPR*Pc)/(0.07780*[R])) --> 85/((0.12*218)/(0.07780*[R]))
Evaluating ... ...
Tr = 2.10181732774646
STEP 3: Convert Result to Output's Unit
2.10181732774646 --> No Conversion Required
FINAL ANSWER
2.10181732774646 2.101817 <-- Reduced Temperature
(Calculation completed in 00.004 seconds)

Credits

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA
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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 b, other Actual and Critical Parameters Formula

Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Tr = T/((bPR*Pc)/(0.07780*[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 Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters?

Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters calculator uses Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])) to calculate the Reduced Temperature, The Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical 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 b, other Actual and Critical Parameters using this online calculator? To use this online calculator for Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters, enter Temperature (T), Peng–Robinson Parameter b (bPR) & Critical Pressure (Pc) and hit the calculate button. Here is how the Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters calculation can be explained with given input values -> 1.26109 = 85/((0.12*218)/(0.07780*[R])).

FAQ

What is Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters?
The Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless and is represented as Tr = T/((bPR*Pc)/(0.07780*[R])) or Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])). Temperature is the degree or intensity of heat present in a substance or object, Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.
How to calculate Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters?
The Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters formula is defined as the actual temperature of the fluid to its critical temperature. It is dimensionless is calculated using Reduced Temperature = Temperature/((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R])). To calculate Reduced Temperature given Peng Robinson Parameter b, other Actual and Critical Parameters, you need Temperature (T), Peng–Robinson Parameter b (bPR) & Critical Pressure (Pc). With our tool, you need to enter the respective value for Temperature, Peng–Robinson Parameter b & Critical 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 b & Critical 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/(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
  • 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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