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

STEP 0: Pre-Calculation Summary
Formula Used
Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))
T = Tr*((bPR*(p/Pr))/(0.07780*[R]))
This formula uses 1 Constants, 5 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Temperature - (Measured in Kelvin) - Temperature is the degree or intensity of heat present in a substance or object.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Peng–Robinson Parameter b - Peng–Robinson parameter b 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
Reduced Temperature: 10 --> No Conversion Required
Peng–Robinson Parameter b: 0.12 --> 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 = Tr*((bPR*(p/Pr))/(0.07780*[R])) --> 10*((0.12*(800/3.675E-05))/(0.07780*[R]))
Evaluating ... ...
T = 40383142.1370047
STEP 3: Convert Result to Output's Unit
40383142.1370047 Kelvin --> No Conversion Required
FINAL ANSWER
40383142.1370047 4E+7 Kelvin <-- Temperature
(Calculation completed in 00.004 seconds)

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20 Peng Robinson Model of Real Gas Calculators

Peng Robinson Alpha-Function using Peng Robinson Equation given Reduced and Critical Parameters
Go α-function = ((([R]*(Critical Temperature*Reduced Temperature))/((Critical Molar Volume*Reduced Molar Volume)-Peng–Robinson Parameter b))-(Critical Pressure*Reduced Pressure))*(((Critical Molar Volume*Reduced Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Critical Molar Volume*Reduced Molar Volume))-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a
Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters
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
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
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
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)))
Peng Robinson Alpha-Function using Peng Robinson Equation
Go α-function = ((([R]*Temperature)/(Molar Volume-Peng–Robinson Parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2))/Peng–Robinson Parameter a
Actual Temperature given Peng Robinson Parameter a, and other Actual and Reduced Parameters
Go Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R]))
Actual Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters
Go Pressure = Reduced Pressure*(0.07780*[R]*(Temperature/Reduced Temperature)/Peng–Robinson Parameter b)
Pure Component Factor for Peng Robinson Equation of state using Critical and Actual Temperature
Go Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Temperature/Critical Temperature))
Actual Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters
Go Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
Actual Temperature given Peng Robinson parameter b, other reduced and critical parameters
Go Temperature given PRP = Reduced Temperature*((Peng–Robinson Parameter b*Critical Pressure)/(0.07780*[R]))
Actual Temperature given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
Actual Temperature for Peng Robinson Equation using Alpha-function and Pure Component Parameter
Go Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
Actual Pressure given Peng Robinson Parameter b, other Reduced and Critical Parameters
Go Pressure = Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)
Alpha-function for Peng Robinson Equation of state given Critical and Actual Temperature
Go α-function = (1+Pure Component Parameter*(1-sqrt( Temperature/Critical Temperature)))^2
Pure Component Factor for Peng Robinson Equation of state using Reduced Temperature
Go Pure Component Parameter = (sqrt(α-function)-1)/(1-sqrt(Reduced Temperature))
Actual Pressure given Peng Robinson Parameter a, and other Reduced and Critical Parameters
Go Pressure given PRP = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Pure Component Factor for Peng Robinson Equation of state using Acentric Factor
Go Pure Component Parameter = 0.37464+(1.54226*Acentric Factor)-(0.26992*Acentric Factor*Acentric Factor)
Alpha-function for Peng Robinson Equation of state given Reduced Temperature
Go α-function = (1+Pure Component Parameter*(1-sqrt(Reduced Temperature)))^2

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

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

Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters calculator uses Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R])) to calculate the Temperature, The Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature is denoted by T symbol.

How to calculate Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters using this online calculator? To use this online calculator for Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters, enter Reduced Temperature (Tr), Peng–Robinson Parameter b (bPR), Pressure (p) & Reduced Pressure (Pr) and hit the calculate button. Here is how the Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters calculation can be explained with given input values -> 6.7E+7 = 10*((0.12*(800/3.675E-05))/(0.07780*[R])).

FAQ

What is Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters?
The Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters formula is defined as the degree or intensity of heat present in the volume of real gas and is represented as T = Tr*((bPR*(p/Pr))/(0.07780*[R])) or Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R])). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Peng–Robinson parameter b 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 Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters?
The Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters formula is defined as the degree or intensity of heat present in the volume of real gas is calculated using Temperature = Reduced Temperature*((Peng–Robinson Parameter b*(Pressure/Reduced Pressure))/(0.07780*[R])). To calculate Actual Temperature given Peng Robinson Parameter b, other Actual and Reduced Parameters, you need Reduced Temperature (Tr), Peng–Robinson Parameter b (bPR), Pressure (p) & Reduced Pressure (Pr). With our tool, you need to enter the respective value for Reduced Temperature, Peng–Robinson Parameter b, 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 Temperature?
In this formula, Temperature uses Reduced Temperature, Peng–Robinson Parameter b, Pressure & Reduced Pressure. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • 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 = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*Critical Pressure)/(0.45724*([R]^2))))
  • Temperature = Reduced Temperature*(sqrt((Peng–Robinson Parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
  • Temperature = Critical Temperature*((1-((sqrt(α-function)-1)/Pure Component Parameter))^2)
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