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## Credits

Prerana Bakli has created this Calculator and 500+ more calculators!
K J Somaiya College of science (K J Somaiya), Mumbai
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## Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters Solution

STEP 0: Pre-Calculation Summary
Formula Used
pressure = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson parameter a)
P = Pr*(0.45724*([R]^2)*(Tc^2)/a)
This formula uses 1 Constants, 3 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Variables Used
Reduced Pressure- Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.
Critical Temperature - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor. (Measured in Kelvin)
Peng–Robinson parameter a- Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
STEP 1: Convert Input(s) to Base Unit
Reduced Pressure: 3.67E-05 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Peng–Robinson parameter a: 0.1 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = Pr*(0.45724*([R]^2)*(Tc^2)/a) --> 3.67E-05*(0.45724*([R]^2)*(647^2)/0.1)
Evaluating ... ...
P = 4856.09541956305
STEP 3: Convert Result to Output's Unit
4856.09541956305 Pascal --> No Conversion Required
4856.09541956305 Pascal <-- Pressure
(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 Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters Formula

pressure = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson parameter a)
P = Pr*(0.45724*([R]^2)*(Tc^2)/a)

## 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 Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters?

Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters calculator uses pressure = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson parameter a) to calculate the Pressure, The Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters formula is defined as the force that the gas exerts on the container boundaries. Pressure and is denoted by P symbol.

How to calculate Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters using this online calculator? To use this online calculator for Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters, enter Reduced Pressure (Pr), Critical Temperature (Tc) and Peng–Robinson parameter a (a) and hit the calculate button. Here is how the Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters calculation can be explained with given input values -> 4856.095 = 3.67E-05*(0.45724*([R]^2)*(647^2)/0.1).

### FAQ

What is Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters?
The Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters formula is defined as the force that the gas exerts on the container boundaries and is represented as P = Pr*(0.45724*([R]^2)*(Tc^2)/a) or pressure = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson parameter a). Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless, Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor and Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
How to calculate Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters?
The Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters formula is defined as the force that the gas exerts on the container boundaries is calculated using pressure = Reduced Pressure*(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson parameter a). To calculate Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters, you need Reduced Pressure (Pr), Critical Temperature (Tc) and Peng–Robinson parameter a (a). With our tool, you need to enter the respective value for Reduced Pressure, Critical Temperature and Peng–Robinson parameter a 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 Pressure?
In this formula, Pressure uses Reduced Pressure, Critical Temperature and Peng–Robinson parameter a. 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 Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters calculator used?
Among many, Actual Pressure in terms of Peng–Robinson parameter a and other reduced & critical parameters calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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