Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters Calculator

✖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%
✖Critical Temperature of Real Gas 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 of Real Gas [T'_c]			+10% -10%
✖Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.ⓘ Reduced Molar Volume for P-R Method [V'_r]			+10% -10%
✖Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.ⓘ Critical Molar Volume for Peng Robinson Model [V'_c]			+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%
✖Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.ⓘ Peng–Robinson Parameter a [a_PR]			+10% -10%
✖α-function is a function of temperature and the acentric factor.ⓘ α-function [α]			+10% -10%
✖Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure for Peng Robinson Model [P,_c]			+10% -10%

✖Reduced Pressure is the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless.ⓘ Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters [P_r]

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Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters Solution

STEP 0: Pre-Calculation Summary

Formula Used

Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model
P_r = ((([R]*(T_r*T'_c))/((V'_r*V'_c)-b_PR))-((a_PR*α)/(((V'_r*V'_c)^2)+(2*b_PR*(V'_r*V'_c))-(b_PR^2))))/P,_c
This formula uses 1 Constants, 9 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.
Reduced Temperature - Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless.
Critical Temperature of Real Gas - (Measured in Kelvin) - Critical Temperature of Real Gas 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.
Reduced Molar Volume for P-R Method - Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole.
Critical Molar Volume for Peng Robinson Model - (Measured in Cubic Meter per Mole) - Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole.
Peng–Robinson Parameter b - Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
Peng–Robinson Parameter a - Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas.
α-function - α-function is a function of temperature and the acentric factor.
Critical Pressure for Peng Robinson Model - (Measured in Pascal) - Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.

STEP 1: Convert Input(s) to Base Unit

Reduced Temperature: 10 --> No Conversion Required
Critical Temperature of Real Gas: 154.4 Kelvin --> 154.4 Kelvin No Conversion Required
Reduced Molar Volume for P-R Method: 246.78 --> No Conversion Required
Critical Molar Volume for Peng Robinson Model: 0.0025 Cubic Meter per Mole --> 0.0025 Cubic Meter per Mole No Conversion Required
Peng–Robinson Parameter b: 0.12 --> No Conversion Required
Peng–Robinson Parameter a: 0.1 --> No Conversion Required
α-function: 2 --> No Conversion Required
Critical Pressure for Peng Robinson Model: 4600000 Pascal --> 4600000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = ((([R]*(T_r*T'_c))/((V'_r*V'_c)-b_PR))-((a_PR*α)/(((V'_r*V'_c)^2)+(2*b_PR*(V'_r*V'_c))-(b_PR^2))))/P,_c --> ((([R]*(10*154.4))/((246.78*0.0025)-0.12))-((0.1*2)/(((246.78*0.0025)^2)+(2*0.12*(246.78*0.0025))-(0.12^2))))/4600000

Evaluating ... ...

P_r = 0.00561570669243177

STEP 3: Convert Result to Output's Unit

0.00561570669243177 --> No Conversion Required

FINAL ANSWER

0.00561570669243177 ≈ 0.005616 <-- Reduced Pressure

(Calculation completed in 00.004 seconds)

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Home » Chemistry » Kinetic Theory of Gases » Real Gas » Peng Robinson Model of Real Gas » Reduced Pressure » Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters

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< Reduced Pressure Calculators

Reduced Pressure given Peng Robinson Parameter b, other Actual and Reduced Parameters

LaTeX Go Critical Pressure given PRP = Pressure/(0.07780*[R]*(Temperature of Gas/Reduced Temperature)/Peng–Robinson Parameter b)

Reduced Pressure given Peng Robinson Parameter a, and other Actual and Reduced Parameters

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

Reduced Pressure given Peng Robinson Parameter b, other Actual and Critical Parameters

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

Reduced Pressure given Peng Robinson Parameter a, and other Actual and Critical Parameters

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

Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters 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 Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters?

Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters calculator uses Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model to calculate the Reduced Pressure, The Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless. Reduced Pressure is denoted by P_r symbol.

How to calculate Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters using this online calculator? To use this online calculator for Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters, enter Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR), α-function (α) & Critical Pressure for Peng Robinson Model (P,_c) and hit the calculate button. Here is how the Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters calculation can be explained with given input values -> 0.005616 = ((([R]*(10*154.4))/((246.78*0.0025)-0.12))-((0.1*2)/(((246.78*0.0025)^2)+(2*0.12*(246.78*0.0025))-(0.12^2))))/4600000.

FAQ

What is Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters?

The Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless and is represented as P_r = ((([R]*(T_r*T'_c))/((V'_r*V'_c)-b_PR))-((a_PR*α)/(((V'_r*V'_c)^2)+(2*b_PR*(V'_r*V'_c))-(b_PR^2))))/P,_c or Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model. Reduced Temperature is the ratio of the actual temperature of the fluid to its critical temperature. It is dimensionless, Critical Temperature of Real Gas 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, Reduced Molar Volume for P-R Method of a fluid is computed from the ideal gas law at the substance's critical pressure and temperature per mole, Critical Molar Volume for Peng Robinson Model is the volume occupied by gas at critical temperature and pressure per mole, Peng–Robinson parameter b is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, Peng–Robinson parameter a is an empirical parameter characteristic to equation obtained from Peng–Robinson model of real gas, α-function is a function of temperature and the acentric factor & Critical Pressure for Peng Robinson Model is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters?

The Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters formula is defined as the ratio of the actual pressure of the fluid to its critical pressure. It is dimensionless is calculated using Reduced Pressure = ((([R]*(Reduced Temperature*Critical Temperature of Real Gas))/((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume for P-R Method*Critical Molar Volume for Peng Robinson Model))-(Peng–Robinson Parameter b^2))))/Critical Pressure for Peng Robinson Model. To calculate Reduced Pressure using Peng Robinson Equation given Reduced and Critical Parameters, you need Reduced Temperature (T_r), Critical Temperature of Real Gas (T'_c), Reduced Molar Volume for P-R Method (V'_r), Critical Molar Volume for Peng Robinson Model (V'_c), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR), α-function (α) & Critical Pressure for Peng Robinson Model (P,_c). With our tool, you need to enter the respective value for Reduced Temperature, Critical Temperature of Real Gas, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Peng–Robinson Parameter b, Peng–Robinson Parameter a, α-function & Critical Pressure for Peng Robinson Model 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 Reduced Pressure?

In this formula, Reduced Pressure uses Reduced Temperature, Critical Temperature of Real Gas, Reduced Molar Volume for P-R Method, Critical Molar Volume for Peng Robinson Model, Peng–Robinson Parameter b, Peng–Robinson Parameter a, α-function & Critical Pressure for Peng Robinson Model. We can use 3 other way(s) to calculate the same, which is/are as follows -

Reduced Pressure = Pressure/(0.45724*([R]^2)*(Critical Temperature^2)/Peng–Robinson Parameter a)
Reduced Pressure = Pressure/(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
Reduced Pressure = Pressure/(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)

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