Peng Robinson Parameter a, using Peng Robinson Equation Calculator

✖Temperature is the degree or intensity of heat present in a substance or object.ⓘ Temperature [T]			+10% -10%
✖Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.ⓘ Molar Volume [V_m]			+10% -10%
✖Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter b [b_PR]			+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%
✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+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, using Peng Robinson Equation [a_PR]

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Peng Robinson Parameter a, using Peng Robinson Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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
a_PR = ((([R]*T)/(V_m-b_PR))-p)*((V_m^2)+(2*b_PR*V_m)-(b_PR^2))/α
This formula uses 1 Constants, 6 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.
Molar Volume - (Measured in Cubic Meter per Mole) - Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure.
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.
α-function - α-function is a function of temperature and the acentric factor.

STEP 1: Convert Input(s) to Base Unit

Temperature: 85 Kelvin --> 85 Kelvin No Conversion Required
Molar Volume: 22.4 Cubic Meter per Mole --> 22.4 Cubic Meter per Mole No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
Pressure: 800 Pascal --> 800 Pascal No Conversion Required
α-function: 2 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_PR = ((([R]*T)/(V_m-b_PR))-p)*((V_m^2)+(2*b_PR*V_m)-(b_PR^2))/α --> ((([R]*85)/(22.4-0.12))-800)*((22.4^2)+(2*0.12*22.4)-(0.12^2))/2

Evaluating ... ...

a_PR = -194805.603536469

STEP 3: Convert Result to Output's Unit

-194805.603536469 --> No Conversion Required

FINAL ANSWER

-194805.603536469 ≈ -194805.603536 <-- Peng–Robinson Parameter a

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Peng Robinson Parameter » Peng Robinson Parameter a, using Peng Robinson Equation

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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, using Peng Robinson Equation Formula

LaTeX Go

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, using Peng Robinson Equation?

Peng Robinson Parameter a, using Peng Robinson Equation calculator uses 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 to calculate the Peng–Robinson Parameter a, The Peng Robinson Parameter a, using Peng Robinson Equation 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, using Peng Robinson Equation using this online calculator? To use this online calculator for Peng Robinson Parameter a, using Peng Robinson Equation, enter Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Pressure (p) & α-function (α) and hit the calculate button. Here is how the Peng Robinson Parameter a, using Peng Robinson Equation calculation can be explained with given input values -> -196143.339405 = ((([R]*85)/(22.4-0.12))-800)*((22.4^2)+(2*0.12*22.4)-(0.12^2))/2.

FAQ

What is Peng Robinson Parameter a, using Peng Robinson Equation?

The Peng Robinson Parameter a, using Peng Robinson Equation formula is defined as an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas and is represented as a_PR = ((([R]*T)/(V_m-b_PR))-p)*((V_m^2)+(2*b_PR*V_m)-(b_PR^2))/α or 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. Temperature is the degree or intensity of heat present in a substance or object, Molar Volume is the volume occupied by one mole of a real gas at standard temperature and pressure, 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 & α-function is a function of temperature and the acentric factor.

How to calculate Peng Robinson Parameter a, using Peng Robinson Equation?

The Peng Robinson Parameter a, using Peng Robinson Equation 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 = ((([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. To calculate Peng Robinson Parameter a, using Peng Robinson Equation, you need Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Pressure (p) & α-function (α). With our tool, you need to enter the respective value for Temperature, Molar Volume, Peng–Robinson Parameter b, Pressure & α-function 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, Molar Volume, Peng–Robinson Parameter b, Pressure & α-function. 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 = 0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced Pressure)
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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