Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters 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%
✖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 is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [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 Critical and Actual Parameters [P_r]

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

STEP 0: Pre-Calculation Summary

Formula Used

Reduced 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))))/Critical Pressure
P_r = ((([R]*T)/(V_m-b_PR))-((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2))))/P_c
This formula uses 1 Constants, 7 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.
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.
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 - (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

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
Peng–Robinson Parameter a: 0.1 --> No Conversion Required
α-function: 2 --> No Conversion Required
Critical Pressure: 218 Pascal --> 218 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_r = ((([R]*T)/(V_m-b_PR))-((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2))))/P_c --> ((([R]*85)/(22.4-0.12))-((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2))))/218

Evaluating ... ...

P_r = 0.14550436802988

STEP 3: Convert Result to Output's Unit

0.14550436802988 --> No Conversion Required

FINAL ANSWER

0.14550436802988 ≈ 0.145504 <-- Reduced Pressure

(Calculation completed in 00.020 seconds)

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University of Hawaiʻi at Mānoa (UH Manoa), Hawaii, USA

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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 Critical and Actual 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 Critical and Actual Parameters?

Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters calculator uses Reduced 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))))/Critical Pressure to calculate the Reduced Pressure, The Reduced Pressure using Peng Robinson Equation given Critical and Actual 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 Critical and Actual Parameters using this online calculator? To use this online calculator for Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters, enter Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR), α-function (α) & Critical Pressure (P_c) and hit the calculate button. Here is how the Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters calculation can be explained with given input values -> 0.146029 = ((([R]*85)/(22.4-0.12))-((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2))))/218.

FAQ

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

The Reduced Pressure using Peng Robinson Equation given Critical and Actual 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)/(V_m-b_PR))-((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2))))/P_c or Reduced 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))))/Critical Pressure. 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, 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 is the minimum pressure required to liquify a substance at the critical temperature.

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

The Reduced Pressure using Peng Robinson Equation given Critical and Actual 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]*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))))/Critical Pressure. To calculate Reduced Pressure using Peng Robinson Equation given Critical and Actual Parameters, you need Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR), α-function (α) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Temperature, Molar Volume, Peng–Robinson Parameter b, Peng–Robinson Parameter a, α-function & 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 Reduced Pressure?

In this formula, Reduced Pressure uses Temperature, Molar Volume, Peng–Robinson Parameter b, Peng–Robinson Parameter a, α-function & Critical Pressure. 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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