Peng Robinson Parameter a, of Real Gas given Critical Parameters Calculator

✖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.ⓘ Critical Temperature [T_c]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+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 Critical Parameters [a_PR]

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Peng Robinson Parameter a, of Real Gas given Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure
a_PR = 0.45724*([R]^2)*(T_c^2)/P_c
This formula uses 1 Constants, 3 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.
Critical Temperature - (Measured in Kelvin) - 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.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

STEP 1: Convert Input(s) to Base Unit

Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_PR = 0.45724*([R]^2)*(T_c^2)/P_c --> 0.45724*([R]^2)*(647^2)/218

Evaluating ... ...

a_PR = 60696.6404965009

STEP 3: Convert Result to Output's Unit

60696.6404965009 --> No Conversion Required

FINAL ANSWER

60696.6404965009 ≈ 60696.64 <-- 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, of Real Gas given Critical Parameters

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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 Critical Parameters Formula

LaTeX Go

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

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 Critical Parameters?

Peng Robinson Parameter a, of Real Gas given Critical Parameters calculator uses Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure to calculate the Peng–Robinson Parameter a, The Peng Robinson Parameter a, of Real Gas given Critical 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 Critical Parameters using this online calculator? To use this online calculator for Peng Robinson Parameter a, of Real Gas given Critical Parameters, enter Critical Temperature (T_c) & Critical Pressure (P_c) and hit the calculate button. Here is how the Peng Robinson Parameter a, of Real Gas given Critical Parameters calculation can be explained with given input values -> 60696.64 = 0.45724*([R]^2)*(647^2)/218.

FAQ

What is Peng Robinson Parameter a, of Real Gas given Critical Parameters?

The Peng Robinson Parameter a, of Real Gas given Critical 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_c^2)/P_c or Peng–Robinson Parameter a = 0.45724*([R]^2)*(Critical Temperature^2)/Critical Pressure. 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 & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Peng Robinson Parameter a, of Real Gas given Critical Parameters?

The Peng Robinson Parameter a, of Real Gas given Critical 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)*(Critical Temperature^2)/Critical Pressure. To calculate Peng Robinson Parameter a, of Real Gas given Critical Parameters, you need Critical Temperature (T_c) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Critical Temperature & Critical 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 Critical Temperature & Critical 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)*((Temperature/Reduced Temperature)^2)/(Pressure/Reduced 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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