Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.ⓘ Reduced Temperature [T_r]			+10% -10%
✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure [p]			+10% -10%
✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure [P_r]			+10% -10%

✖Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters [a_PR]

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Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)
a_PR = 0.45724*([R]^2)*((T/T_r)^2)/(p/P_r)
This formula uses 1 Constants, 5 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Peng–Robinson Parameter a - Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
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.
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
Reduced Temperature: 10 --> 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

a_PR = 0.45724*([R]^2)*((T/T_r)^2)/(p/P_r) --> 0.45724*([R]^2)*((85/10)^2)/(800/3.675E-05)

Evaluating ... ...

a_PR = 0.000104910219107061

STEP 3: Convert Result to Output's Unit

0.000104910219107061 --> No Conversion Required

FINAL ANSWER

0.000104910219107061 ≈ 0.000105 <-- Peng–Robinson Parameter a

(Calculation completed in 00.004 seconds)

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< Peng Robinson Parameter Calculators

Peng Robinson Parameter a, using Peng Robinson Equation

LaTeX Go 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 b of Real Gas given Reduced and Actual Parameters

LaTeX Go Peng–Robinson Parameter b = 0.07780*[R]*(Temperature/Reduced Temperature)/(Pressure/Reduced Pressure)

Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters

LaTeX Go Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)

Peng Robinson Parameter a, of Real Gas given Critical Parameters

LaTeX Go Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure

Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters Formula

LaTeX Go

Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)
a_PR = 0.45724*([R]^2)*((T/T_r)^2)/(p/P_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 Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters?

Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters calculator uses Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure) to calculate the Peng–Robinson Parameter a, The Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas. Peng–Robinson Parameter a is denoted by a_PR symbol.

How to calculate Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters using this online calculator? To use this online calculator for Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters, enter Temperature (T), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r) and hit the calculate button. Here is how the Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters calculation can be explained with given input values -> 0.000105 = 0.45724*([R]^2)*((85/10)^2)/(800/3.675E-05).

FAQ

What is Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters?

The Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas and is represented as a_PR = 0.45724*([R]^2)*((T/T_r)^2)/(p/P_r) or Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure). Temperature is the degree or intensity of heat present in a substance or object, Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, 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 Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters?

The Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas is calculated using Peng–Robinson Parameter a = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure). To calculate Peng Robinson parameter a, of Real Gas given Reduced and Actual Parameters, you need Temperature (T), Reduced Temperature (T_r), Pressure (p) & Reduced Pressure (P_r). With our tool, you need to enter the respective value for Temperature, Reduced Temperature, 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 Peng–Robinson Parameter a?

In this formula, Peng–Robinson Parameter a uses Temperature, Reduced Temperature, Pressure & Reduced Pressure. We can use 3 other way(s) to calculate the same, which is/are as follows -

Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure
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

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