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Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
temperature = Reduced Temperature*(sqrt((Peng–Robinson parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
T = Tr*(sqrt((a*(P/Pr))/(0.45724*([R]^2))))
This formula uses 1 Constants, 1 Functions, 4 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
sqrt - Squre root function, 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.
Peng–Robinson parameter a- Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
Pressure - The pressure is defined as the physical force exerted on an object. It is symbolized by P. (Measured in Pascal)
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: 0.131376 --> No Conversion Required
Peng–Robinson parameter a: 0.1 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
Reduced Pressure: 3.67E-05 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
T = Tr*(sqrt((a*(P/Pr))/(0.45724*([R]^2)))) --> 0.131376*(sqrt((0.1*(800/3.67E-05))/(0.45724*([R]^2))))
Evaluating ... ...
T = 34.5002071763955
STEP 3: Convert Result to Output's Unit
34.5002071763955 Kelvin --> No Conversion Required
FINAL ANSWER
34.5002071763955 Kelvin <-- Temperature
(Calculation completed in 00.000 seconds)

10+ Peng–Robinson model of Real Gas Calculators

Peng–Robinson α-function using Peng–Robinson equation in terms of reduced and critical parameters
alpha_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 Go
Critical Pressure using Peng–Robinson equation in terms of reduced and critical parameters
critical_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))))/Reduced Pressure Go
Peng–Robinson parameter a using Peng–Robinson equation in terms of reduced and critical parameters
peng_robinson_parameter_a = ((([R]*(Critical Temperature*Reduced Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson parameter b))-(Reduced Pressure*Critical Pressure))*(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson parameter b^2))/α-function Go
Pressure of real gas using Peng–Robinson equation in terms of reduced and critical parameters
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))) Go
Temperature of real gas using Peng–Robinson equation in terms of reduced and critical parameters
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]) Go
Critical Pressure of real gas using Peng–Robinson equation in terms of reduced and actual parameters
critical_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))))/Reduced Pressure Go
Peng–Robinson α-function using Peng–Robinson equation
alpha_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 Go
Temperature of real gas using Peng–Robinson equation
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]) Go
Pressure of real gas using Peng–Robinson equation
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))) Go
Peng–Robinson parameter a using Peng–Robinson equation
peng_robinson_parameter_a = ((([R]*Temperature)/(Molar Volume-Peng–Robinson parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson parameter b*Molar Volume)-(Peng–Robinson parameter b^2))/α-function Go

Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters Formula

temperature = Reduced Temperature*(sqrt((Peng–Robinson parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2))))
T = Tr*(sqrt((a*(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 Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters?

Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters calculator uses temperature = Reduced Temperature*(sqrt((Peng–Robinson parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))) to calculate the Temperature, The Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters formula is defined as the degree or intensity of heat present in the volume of real gas. Temperature and is denoted by T symbol.

How to calculate Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters using this online calculator? To use this online calculator for Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters, enter Reduced Temperature (Tr), Peng–Robinson parameter a (a), Pressure (P) and Reduced Pressure (Pr) and hit the calculate button. Here is how the Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters calculation can be explained with given input values -> 34.50021 = 0.131376*(sqrt((0.1*(800/3.67E-05))/(0.45724*([R]^2)))).

FAQ

What is Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters?
The Actual Temperature in terms of Peng–Robinson parameter a and other actual & 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*(sqrt((a*(P/Pr))/(0.45724*([R]^2)))) or temperature = Reduced Temperature*(sqrt((Peng–Robinson parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, The pressure is defined as the physical force exerted on an object. It is symbolized by P and Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
How to calculate Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters?
The Actual Temperature in terms of Peng–Robinson parameter a and other actual & 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*(sqrt((Peng–Robinson parameter a*(Pressure/Reduced Pressure))/(0.45724*([R]^2)))). To calculate Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters, you need Reduced Temperature (Tr), Peng–Robinson parameter a (a), Pressure (P) and Reduced Pressure (Pr). With our tool, you need to enter the respective value for Reduced Temperature, Peng–Robinson parameter a, Pressure and 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 a, Pressure and Reduced Pressure. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • 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)))
  • 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 = (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])
  • 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])
  • peng_robinson_parameter_a = ((([R]*Temperature)/(Molar Volume-Peng–Robinson parameter b))-Pressure)*((Molar Volume^2)+(2*Peng–Robinson parameter b*Molar Volume)-(Peng–Robinson parameter b^2))/α-function
  • peng_robinson_parameter_a = ((([R]*(Critical Temperature*Reduced Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson parameter b))-(Reduced Pressure*Critical Pressure))*(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson parameter b^2))/α-function
  • alpha_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
  • alpha_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
  • critical_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))))/Reduced Pressure
  • critical_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))))/Reduced Pressure
Where is the Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters calculator used?
Among many, Actual Temperature in terms of Peng–Robinson parameter a and other actual & reduced parameters calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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