Pressure of Real Gas 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%
✖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%

✖Pressure is the force applied perpendicular to the surface of an object per unit area over which that force is distributed.ⓘ Pressure of Real Gas using Peng Robinson Equation [p]

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Pressure of Real Gas using Peng Robinson Equation Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)))
p = (([R]*T)/(V_m-b_PR))-((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2)))
This formula uses 1 Constants, 6 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

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.
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.

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

p = 31.7199522305138

STEP 3: Convert Result to Output's Unit

31.7199522305138 Pascal --> No Conversion Required

FINAL ANSWER

31.7199522305138 ≈ 31.71995 Pascal <-- Pressure

(Calculation completed in 00.020 seconds)

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

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< Peng Robinson Model of Real Gas Calculators

Pressure of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))

Temperature of Real Gas using Peng Robinson Equation given Reduced and Critical Parameters

LaTeX Go Temperature = ((Reduced Pressure*Critical Pressure)+(((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))))*(((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b)/[R])

Temperature of Real Gas using Peng Robinson Equation

LaTeX Go Temperature given CE = (Pressure+(((Peng–Robinson Parameter a*α-function)/((Molar Volume^2)+(2*Peng–Robinson Parameter b*Molar Volume)-(Peng–Robinson Parameter b^2)))))*((Molar Volume-Peng–Robinson Parameter b)/[R])

Pressure of Real Gas using Peng Robinson Equation

LaTeX Go 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)))

Pressure of Real Gas using Peng Robinson Equation Formula

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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 Pressure of Real Gas using Peng Robinson Equation?

Pressure of Real Gas using Peng Robinson Equation calculator uses 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))) to calculate the Pressure, The Pressure of Real Gas using Peng Robinson Equation formula is defined as the force that the gas exerts on the container boundaries. Pressure is denoted by p symbol.

How to calculate Pressure of Real Gas using Peng Robinson Equation using this online calculator? To use this online calculator for Pressure of Real Gas using Peng Robinson Equation, enter Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR) & α-function (α) and hit the calculate button. Here is how the Pressure of Real Gas using Peng Robinson Equation calculation can be explained with given input values -> 31.83426 = (([R]*85)/(22.4-0.12))-((0.1*2)/((22.4^2)+(2*0.12*22.4)-(0.12^2))).

FAQ

What is Pressure of Real Gas using Peng Robinson Equation?

The Pressure of Real Gas using Peng Robinson Equation formula is defined as the force that the gas exerts on the container boundaries and is represented as p = (([R]*T)/(V_m-b_PR))-((a_PR*α)/((V_m^2)+(2*b_PR*V_m)-(b_PR^2))) or 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))). 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.

How to calculate Pressure of Real Gas using Peng Robinson Equation?

The Pressure of Real Gas using Peng Robinson Equation formula is defined as the force that the gas exerts on the container boundaries is calculated using 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))). To calculate Pressure of Real Gas using Peng Robinson Equation, you need Temperature (T), Molar Volume (V_m), Peng–Robinson Parameter b (b_PR), Peng–Robinson Parameter a (a_PR) & α-function (α). With our tool, you need to enter the respective value for Temperature, Molar Volume, Peng–Robinson Parameter b, Peng–Robinson Parameter a & 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 Pressure?

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

Pressure = (([R]*(Reduced Temperature*Critical Temperature))/((Reduced Molar Volume*Critical Molar Volume)-Peng–Robinson Parameter b))-((Peng–Robinson Parameter a*α-function)/(((Reduced Molar Volume*Critical Molar Volume)^2)+(2*Peng–Robinson Parameter b*(Reduced Molar Volume*Critical Molar Volume))-(Peng–Robinson Parameter b^2)))
Pressure = Reduced Pressure*(0.45724*([R]^2)*((Temperature/Reduced Temperature)^2)/Peng–Robinson Parameter a)
Pressure = Reduced Pressure*(0.07780*[R]*Critical Temperature/Peng–Robinson Parameter b)

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